SlideShare a Scribd company logo
1 of 3
Download to read offline
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 07 Issue: 02 | Feb 2020 www.irjet.net p-ISSN: 2395-0072
ยฉ 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 1854
Research Review on Analysis of Load- Stress Deflection Characteristics
of Modified Diaphragm Spring
P Umesh 1, Purushottam Kumar Sahu2
1BM College of Technology, RGPV, Bhopal Indore, Research Scholar, Dept. of Mechanical Engineering,
BM College, MP, Indore
2First BM College of Technology, RGPV, Indore, Professor, Dept. of Mechanical Engineering, BM College, MP, Indore
---------------------------------------------------------------------***----------------------------------------------------------------------
Abstract - Diaphragm spring washers are elastic washers
that have circular shapes. They are flexible axially and deflect
like springs when they are compressed. Diaphragm spring
washers provide preload between two fastened surfaces and
are wont to prevent loose fastening, absorb shocks, and
eliminate play and uniform load. Diaphragm spring washers
are often employed when space is constrained, and moderate
load is applied in the operation. In this paper, a systematic
method is presented for designing and analyzing Diaphragm
spring washers. In model Diaphragm spring washer, a slanted
surface is first utilized to define the axial cross section. Solid
model of diaphragm. The spring washer is then generated
through rotating the slanted Surface with its central axis. The
solid model of a Diaphragm springwasheristotally decidedby
its four geometric parameters: the internal and external
diameters, the thickness of the washer and its height. The
design of a Diaphragm washer is systematized during this
paper as optimizing its four geometric parameters. The
analysis of a Diaphragm washer isconducted basedonitssolid
model. Examples on designing and analyzing Diaphragm
spring washers are presented in the paper to verify the
effectiveness and demonstratetheprocedureoftheintroduced
method.
Key Words: Belleville Spring, FEA, CATIA, ANSYS, Load
deflection curves, h/t ratio
1. INTRODUCTION
The Belleville spring is usually loaded only at its edges by
circumferentially uniform loads, axial indirectionandwitha
sense such that they tend to reduce the cone angle. In most
cases the edges are completely free to move. However,
certain applications require that either the outer edge be
restrained from radial expansion, as would be the case if the
spring were inserted in a cylinder, or that the inner edge be
restrained from radial contraction, as would be the case if a
shaft were inserted through the spring. Some applications
may require that both of these restrictions be imposed.
1.1Characteristics of Belleville Springs
The simplest type of spring,aprismatictensionspecimen,
exhibits a characteristic which is typical of structural
members in the elastic range: a linear load deflection curve.
Accordingly, the helical spring, the volute spring, the ring
spring,andmostcommonspringshaveastraightrelationship
between load and deflection. On the other hand, Belleville
spring usual1y have a nonlinear relationship between load
and deflection, and it is possible to design Belleville springs
with many differently shaped load deflection curves. By
varying the fundamental parameters, it is possible to obtain
positive, zero, and even negative spring rates in given
portions of the load deflection curve.
The clutch provides a temporary connection betweenthe
engine and the gearbox by transmitting engine torque and
engine speed in addition to the comfortfunctionoftheclutch.
One of the com- fort tasks is to damp the vibration while
transmitting torque and speed towards the gearbox. The
clutch compensates for vibrations through radial and axial
springs. The friction force is obtained by a com-press
Belleville spring to the discassembly.Absorptionofvibration
is a key according to the characteristic of the engine of the
vehicle, and the required torque is calculated. In this study,
the load calculation of Belleville spring was done and
optimized, and then the results were investigated.
Studies on the Belleville spring are limited in the
literature and only a few studies have been found about
Belleville washer's FEA modeling. No studyhasbeendoneon
the clutch Belleville spring regarding the behavior of stress
and deflection compared to the Belleville spring, but the
parameter optimization to obtain the required load and
stress values.
The performance of the Belleville spring under com- press
load wascomparedbetweenthesimulationandexperimental
results. He investigated Belleville spring stress and deflac-
tion among experimental Method and FEA method. They
reduced the deviation between the results by changing the
element formation [1]. Friction clutch design was done with
dual Belleville Springs and Friction Plates. They reduced the
number of components required by using a Belleville spring
as a friction plate [2]. The method was developed to predict
the deformation behavior of the Belleville spring under axial
load using minimum potential energy theory. The classical
thin shell theory in a conical coordinate system was used to
prepare Belleville Springs by strain energy and function.
Their method brings more precise results between the pre-
assumptions and the finite element method than the Almen
and Lezlo equation [3]. Composite material was applied to
Belleville springs instead of steel and the compositematerial
provides similar load and deflection characteristics with
steel.
Belleville Spring has been shown to be of little interest as
clutch elements, with no studies about the shape adaptation
of Belleville Spring to be the target curve under stress con-
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 07 Issue: 02 | Feb 2020 www.irjet.net p-ISSN: 2395-0072
ยฉ 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 1855
strained. The shape of the Belleville spring has been
optimized in this study. Load and stress results were
obtained by the finite element method. The design of the
experiment was applied to the Latin hypercube sampling
method. An evolutionist
1.2 Function of diaphragm spring
The diaphragm spring can be a steel disc with a hole in the
middle, and therefore the inner part of the disc is moved
sequentially to form a variety of inductive (release-lever)
fingers. The outer end of the slotted square measurement is
given enlarged blunting holes, which distribute the
concentrated stresses created during finger deflection, and
in addition provide a way of finding rivets of the body part
that pin rings. Controls. Landed, it is a shapely shape. As the
pressure plate cowl tightens, it pivots on its pin rings, and
the dead set exerts a force on the flat pressureplate,andalso
the facings. The transmission input shaft passes through the
pressure plate. Its parallel splines interact with the internal
division of the central disc on the friction disc. With engine
rotation, the force current will be transmitted from the
regulator disc, through the friction disc, to the central hub
and transmission. When the foot lever is depressed, the
operation is transferred to the operation fork through the
operation mechanism as well as an uncontrollable bearing.
The release bearing moves forward and the diaphragm
pushes the middle of the spring toward the regulator. The
diaphragm on its pin ring stimulates pivots that maneuver
incorrectly and act on a pressure-plate retention clip. The
pressure plate disintegrates, and the drive is no longer
transmitted. Releasing the paddle allows the diaphragm to
reapply its clamping force and has a clutch interaction, and
the drive is rebuilt.
1.3 Literature review
Several researchers have performed stress anddeflection
analysis of a Belleville spring.
Monica Carfagni [1] performed stress and deflection
analysis to formulate CAD method for checkout and design
Of Belleville Springs. The method eliminates the need to
resort to traditional trial and error techniques. In a matter
of seconds, it examines fast and correctly and designs
Belleville Springs, producing load conversion Attributes in
graphic and table formats andcanproducea drawndrawing.
Yes. Schraffmer [2] carried out stress and deflection
analysis of a slotted Belleville spring to developananalytical
relationship for Deflection and tension of a speckled conical
spring.
Anudeep and others [5] designed Belleville Spring washer
using a mathematical approach. He built it using CATIA
software. They Also analyzed finite elements Belleville
Spring Washer was designed. Fixed Structural analysis was
performed. Material The chosen was H-13 tool steel.
Dubey and Bhope [6] demonstrated tensionand Deflection
analysis of a disk spring using finite Element Method.
Different combination Ratio of its outer diameter and
internal Diameter, (rd) and its height for thickness (h / t) is
considered to be investigated Major stresses on internal ()i)
and external () o) with spring surface Deflection. FE results
compared with existing analytical results. Seen it analytical
values of principal stress Are greater than the FE value for
the outer surface for all ratios of rd and h / t. But as h / t
increases Deviation between analytical and FE values Also
increases. This trend was also seen For deflection. Also the
analytical equation Deflection may be prone to high error
For higher loads due to the values of D / D and H / T.
Swieskowski [11] developed an analytic Procedure for the
design of Belleville washers for energy efficiency. They set
the tension Reduction that is obtained by substituting a
single Washer assembly by a nested arrangement. In
addition they determined optimal stacking Belleville Spring
Arrangement.
Dharan and Bawan [4] demonstrated feasibility Study of
replacing steel disc spring Composite material. Design
equation for Steels was modified for composite materials.
There were many prototype disc springs Built, tested. They
were compared with equivalent steel springs. Result
indicated that composite materials could replace Steel for
making disc spring. Also, there was a lotofcollectivesavings.
Atxaga and others [6] demonstrated failure Analysis of
various disc springs Stainless Steel.
Patangalto and others [9] Isotropic and composite
analyzed disc springs. An application of the Ritz the method
based on energy approach was discussed to predict
deformation and load Features of such disc springs.
Analyzed the effects of Ozaki and others [10] Friction
limits on static and dynamic The behavior of the cone disk
spring. They narrowed Element method for this analysis.
Karkaya [9] examined the effectiveness of the overall Disc
springs with different cross-sections and washers are
usually round shaped discs that serve Increase the area of
contact between the bolt head or nut and Buried parts. A
washer bolt is usually used Need to distribute compression
load on clamped part on a larger area than what the bolt
head or nut can provide. Using a washer also prevents
damage to the bearing
Surface adjacent to fastener by tightening nut [12]. Washers
are important components in fastening and assembly
Operations. In addition to acting as a seat for bolts, nuts,
screws and rivets, washers perform many other functions
including Insulating, sealing, locking, spacing, improving
appearance, Taking spring, aligning, distributing load.
Washer Are indispensable for the functions of many
machines or Importancefor devicesandtheiroperation[13].
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 07 Issue: 02 | Feb 2020 www.irjet.net p-ISSN: 2395-0072
ยฉ 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 1856
Spring washers are used to provide offset conditions. To
introduce tension, or repetition action of bolted assembly
Springs. Even if the duration of their deflection is limited
because of their size and especially their height. A Some
better performance can be expected pairing multiple
washers together. Their stacking capacity, With their
compatibility and versatility, spring makes Washers quite
advantageous where used in confined places or where a
stationary function is required [14].
1.4. CONCLUSIONS
Belleville spring washerโ€™s elastic washersandCircularshape
their axial cross section is rectangular Shape. A solid model
for designing a Belleville spring washer Need to be installed.
For a Belleville Spring Washer model, A tidy rectangle is
drawn first which is defined by four Design Parameter of
Belleville Spring Washer: Interior And outer diameter,
washer height and thickness. The inner and outer diameters
are measured vertically Belleville spring washer'saxlewhile
washer height with washer axis.
Washer thickness the value of the short length oftheoblique
rectangle. With him made rectangular, solid model of
Belleville the spring washer can be installed by rotating the
stand Rectangle with respect to the washer axis. Designinga
Belleville Spring Washer is organized in this research
Optimization of four design parameters for design Belleville
spring washer to fulfill your desired performance
Requirements.StandardBellevilleSpring Washers havebeen
widely used for various applications due to their
convenience to construct. However, the standard Belleville
spring washers A disadvantage is the amount or weight of
their contents. Belleville to reduce the amount or weight of
material for spring Washers, fivedifferentsizemodifications
(internal slots,) Outer slot, middlehole,mixedholeandinner
slot, Mixed holes and external slots) are presented in this
research. Belleville spring washerswithmodifiedshapes are
analyzed and compared with their standardBellevillespring
washer. Belleville spring washerwithmixedholes Andmuch
less material is found in the outer slotthantheItโ€™sassociated
standard Belleville spring washer. The maximum stress
within a standard Belleville spring washer is Much more
than itโ€™s associated Belleville spring washer with mixed
holes and internal slots when they occur under the same
input displacement.
REFERENCES
1. D. Kornack and P. Rakic, โ€œCell Proliferation without
Neurogenesis in Adult Primate Neocortex,โ€Science,
vol. 294, Dec.2001, pp.2127-2130,
doi:10.1126/science.1065467.
2. M. Young, the Technical Writerโ€™s Handbook. Mill
Valley, CA: University Science, 1989.
3. R. Nicole, โ€œTitle of paper with only first word
capitalized,โ€ J. Name Stand. Abbrev. In press.
4. Dharan CKH, Bavman JA. Composite disc springs,
Composites Part A. 2007; (38): 2511โ€“2516p.
5. Anudeep B., Uppendra N., Suresh B., Design and
Finite Element Analysis of H13 Tool Steel Belleville
Spring Washer, Int J Mater Sci Eng, 2016;4(4):200โ€“
207p.
6. Dubey HK, Bhope DV. StressandDeflectionAnalysis
of Belleville Spring, IOSR J Mech Civil Eng. 2012;
2(5): 1โ€“6p.
7. Swieskowsi HP. Design Analysis of Belleville
Washer Springs, Springfield Armory, Springfield,
Mass. Research and Engineering, 1963.
8. Atxaga G, Pelayo A, Irisarri AM. Failure Analysis ofa
set of Stainless steel disc spring, Eng Fail Anal.
2005; 13: 226โ€“ 234p.
9. Patangtalo W, Aimmanee S, Chutima S. A unified
analysis of isotropic and composite Belleville
springs, Thinโ€“Walled Struct. 2016; 109: 285โ€“295p.
10. Ozaki S, Tsuda K, Tominaga J. Analysis of Static and
Dynamic behavior of Coned disk springs: effects of
friction boundaries, Thinโ€“Walled Struct. 2012; 59:
132โ€“143p.
11. Swieskowsi HP. Design Analysis of Belleville
Washer Springs, Springfield Armory, Springfield,
Mass. Research and Engineering, 1963.
12. R.L. Norton, Machine Design, Fifth Edition. Upper
Saddle River, NJ: Prentice Hall, 2013.
13. Precision Metal forming Association, Facts about
Washers, Fourth Edition. The Washer Division,
27027 Chardon Road, Richmond Heights,OH,1992.
14. Associated Spring Corporation, Engineering Guide
to Spring Design. Bristol, CT: Associated Spring
Corporation, 1987.

More Related Content

What's hot

Modeling and Stress Analysis Of Crankshaft Using FEM Package ANSYS
Modeling and Stress Analysis Of Crankshaft Using FEM Package ANSYSModeling and Stress Analysis Of Crankshaft Using FEM Package ANSYS
Modeling and Stress Analysis Of Crankshaft Using FEM Package ANSYSIRJET Journal
ย 
Design and Analysis of Crankshaft for Internal Combustion Engine
Design and Analysis of Crankshaft for Internal Combustion EngineDesign and Analysis of Crankshaft for Internal Combustion Engine
Design and Analysis of Crankshaft for Internal Combustion Engineijtsrd
ย 
FEA Based Validation of Weld Joint Used In Chassis of Light Commercial Vehicl...
FEA Based Validation of Weld Joint Used In Chassis of Light Commercial Vehicl...FEA Based Validation of Weld Joint Used In Chassis of Light Commercial Vehicl...
FEA Based Validation of Weld Joint Used In Chassis of Light Commercial Vehicl...ijiert bestjournal
ย 
SAE BAJA Frame Structural optimization
SAE BAJA Frame Structural optimizationSAE BAJA Frame Structural optimization
SAE BAJA Frame Structural optimizationAkshay Murkute
ย 
15 lecture ppt
15 lecture ppt15 lecture ppt
15 lecture pptmiladshah
ย 
Lv2419731979
Lv2419731979Lv2419731979
Lv2419731979IJERA Editor
ย 
Investigation and Optimization of two cylinder crankshaft by FE Analysis
Investigation and Optimization of two cylinder crankshaft by FE AnalysisInvestigation and Optimization of two cylinder crankshaft by FE Analysis
Investigation and Optimization of two cylinder crankshaft by FE AnalysisIRJET Journal
ย 
Review on Design and Analysis of Two Wheeler Connecting Rod
Review on Design and Analysis of Two Wheeler Connecting RodReview on Design and Analysis of Two Wheeler Connecting Rod
Review on Design and Analysis of Two Wheeler Connecting RodIRJET Journal
ย 
IRJET- Rotor Dynamic Analysis of Driving Shaft of Dry Screw Vacuum Pump
IRJET- Rotor Dynamic Analysis of Driving Shaft of Dry Screw Vacuum PumpIRJET- Rotor Dynamic Analysis of Driving Shaft of Dry Screw Vacuum Pump
IRJET- Rotor Dynamic Analysis of Driving Shaft of Dry Screw Vacuum PumpIRJET Journal
ย 
IRJET- Design Validation Analysis and Optimization of a Pulley
IRJET-  	  Design Validation Analysis and Optimization of a PulleyIRJET-  	  Design Validation Analysis and Optimization of a Pulley
IRJET- Design Validation Analysis and Optimization of a PulleyIRJET Journal
ย 
Finite element analysis of polymer based automotive connecting rod
Finite element analysis of polymer based automotive connecting rodFinite element analysis of polymer based automotive connecting rod
Finite element analysis of polymer based automotive connecting rodIRJET Journal
ย 
Detailed design report on design of upright and hub
Detailed design report on design of upright and hubDetailed design report on design of upright and hub
Detailed design report on design of upright and hubZubair Ahmed
ย 
Bicycle Fork MQP Poster
Bicycle Fork MQP PosterBicycle Fork MQP Poster
Bicycle Fork MQP PosterNate Jannetti
ย 
Design and Analysis Nose Landing Gear Support
Design and Analysis Nose Landing Gear SupportDesign and Analysis Nose Landing Gear Support
Design and Analysis Nose Landing Gear SupportIJSRD
ย 
Design and analysis of knuckle and hub of FSAE race car
Design and analysis of knuckle and hub of FSAE race carDesign and analysis of knuckle and hub of FSAE race car
Design and analysis of knuckle and hub of FSAE race carSangram Pisat
ย 
IRJET- Analytical Behaviour of Stiffened and Unstiffened CFDST Short Column
IRJET-  	  Analytical Behaviour of Stiffened and Unstiffened CFDST Short ColumnIRJET-  	  Analytical Behaviour of Stiffened and Unstiffened CFDST Short Column
IRJET- Analytical Behaviour of Stiffened and Unstiffened CFDST Short ColumnIRJET Journal
ย 
Design and Analysis of A Suspension Coil Spring For Automotive Vehicle
Design and Analysis of A Suspension Coil Spring For Automotive VehicleDesign and Analysis of A Suspension Coil Spring For Automotive Vehicle
Design and Analysis of A Suspension Coil Spring For Automotive VehicleIJERA Editor
ย 
IRJET-Experimental Investigation of Mono Suspension Spring
IRJET-Experimental Investigation of Mono Suspension SpringIRJET-Experimental Investigation of Mono Suspension Spring
IRJET-Experimental Investigation of Mono Suspension SpringIRJET Journal
ย 

What's hot (20)

Modeling and Stress Analysis Of Crankshaft Using FEM Package ANSYS
Modeling and Stress Analysis Of Crankshaft Using FEM Package ANSYSModeling and Stress Analysis Of Crankshaft Using FEM Package ANSYS
Modeling and Stress Analysis Of Crankshaft Using FEM Package ANSYS
ย 
Design and Analysis of Crankshaft for Internal Combustion Engine
Design and Analysis of Crankshaft for Internal Combustion EngineDesign and Analysis of Crankshaft for Internal Combustion Engine
Design and Analysis of Crankshaft for Internal Combustion Engine
ย 
FEA Based Validation of Weld Joint Used In Chassis of Light Commercial Vehicl...
FEA Based Validation of Weld Joint Used In Chassis of Light Commercial Vehicl...FEA Based Validation of Weld Joint Used In Chassis of Light Commercial Vehicl...
FEA Based Validation of Weld Joint Used In Chassis of Light Commercial Vehicl...
ย 
SAE BAJA Frame Structural optimization
SAE BAJA Frame Structural optimizationSAE BAJA Frame Structural optimization
SAE BAJA Frame Structural optimization
ย 
15 lecture ppt
15 lecture ppt15 lecture ppt
15 lecture ppt
ย 
Lv2419731979
Lv2419731979Lv2419731979
Lv2419731979
ย 
Ch 11 slides_m
Ch 11 slides_mCh 11 slides_m
Ch 11 slides_m
ย 
Investigation and Optimization of two cylinder crankshaft by FE Analysis
Investigation and Optimization of two cylinder crankshaft by FE AnalysisInvestigation and Optimization of two cylinder crankshaft by FE Analysis
Investigation and Optimization of two cylinder crankshaft by FE Analysis
ย 
Review on Design and Analysis of Two Wheeler Connecting Rod
Review on Design and Analysis of Two Wheeler Connecting RodReview on Design and Analysis of Two Wheeler Connecting Rod
Review on Design and Analysis of Two Wheeler Connecting Rod
ย 
IRJET- Rotor Dynamic Analysis of Driving Shaft of Dry Screw Vacuum Pump
IRJET- Rotor Dynamic Analysis of Driving Shaft of Dry Screw Vacuum PumpIRJET- Rotor Dynamic Analysis of Driving Shaft of Dry Screw Vacuum Pump
IRJET- Rotor Dynamic Analysis of Driving Shaft of Dry Screw Vacuum Pump
ย 
IRJET- Design Validation Analysis and Optimization of a Pulley
IRJET-  	  Design Validation Analysis and Optimization of a PulleyIRJET-  	  Design Validation Analysis and Optimization of a Pulley
IRJET- Design Validation Analysis and Optimization of a Pulley
ย 
Finite element analysis of polymer based automotive connecting rod
Finite element analysis of polymer based automotive connecting rodFinite element analysis of polymer based automotive connecting rod
Finite element analysis of polymer based automotive connecting rod
ย 
Detailed design report on design of upright and hub
Detailed design report on design of upright and hubDetailed design report on design of upright and hub
Detailed design report on design of upright and hub
ย 
Bicycle Fork MQP Poster
Bicycle Fork MQP PosterBicycle Fork MQP Poster
Bicycle Fork MQP Poster
ย 
Alireza
AlirezaAlireza
Alireza
ย 
Design and Analysis Nose Landing Gear Support
Design and Analysis Nose Landing Gear SupportDesign and Analysis Nose Landing Gear Support
Design and Analysis Nose Landing Gear Support
ย 
Design and analysis of knuckle and hub of FSAE race car
Design and analysis of knuckle and hub of FSAE race carDesign and analysis of knuckle and hub of FSAE race car
Design and analysis of knuckle and hub of FSAE race car
ย 
IRJET- Analytical Behaviour of Stiffened and Unstiffened CFDST Short Column
IRJET-  	  Analytical Behaviour of Stiffened and Unstiffened CFDST Short ColumnIRJET-  	  Analytical Behaviour of Stiffened and Unstiffened CFDST Short Column
IRJET- Analytical Behaviour of Stiffened and Unstiffened CFDST Short Column
ย 
Design and Analysis of A Suspension Coil Spring For Automotive Vehicle
Design and Analysis of A Suspension Coil Spring For Automotive VehicleDesign and Analysis of A Suspension Coil Spring For Automotive Vehicle
Design and Analysis of A Suspension Coil Spring For Automotive Vehicle
ย 
IRJET-Experimental Investigation of Mono Suspension Spring
IRJET-Experimental Investigation of Mono Suspension SpringIRJET-Experimental Investigation of Mono Suspension Spring
IRJET-Experimental Investigation of Mono Suspension Spring
ย 

Similar to IRJET - Research Review on Analysis of Load- Stress deflection Characteristics of Modified Diaphragm spring

IRJET- Review Paper on Belleville Spring through Numerical and Simulation App...
IRJET- Review Paper on Belleville Spring through Numerical and Simulation App...IRJET- Review Paper on Belleville Spring through Numerical and Simulation App...
IRJET- Review Paper on Belleville Spring through Numerical and Simulation App...IRJET Journal
ย 
IRJET- A Dynamic Analysis on the Comparison of Helical and Wave Springs
IRJET- A Dynamic Analysis on the Comparison of Helical and Wave SpringsIRJET- A Dynamic Analysis on the Comparison of Helical and Wave Springs
IRJET- A Dynamic Analysis on the Comparison of Helical and Wave SpringsIRJET Journal
ย 
Comparison of Bending Stresses in Involute and Cycloidal Profile Spur Gear Tooth
Comparison of Bending Stresses in Involute and Cycloidal Profile Spur Gear ToothComparison of Bending Stresses in Involute and Cycloidal Profile Spur Gear Tooth
Comparison of Bending Stresses in Involute and Cycloidal Profile Spur Gear ToothIRJET Journal
ย 
Evaluation of Reduction in Compressive Strength of Singly Symmetric CFS Membe...
Evaluation of Reduction in Compressive Strength of Singly Symmetric CFS Membe...Evaluation of Reduction in Compressive Strength of Singly Symmetric CFS Membe...
Evaluation of Reduction in Compressive Strength of Singly Symmetric CFS Membe...IRJET Journal
ย 
IRJET- Computer Aided Modeling and Analysis of Non-Circular Hollow Cross-Sect...
IRJET- Computer Aided Modeling and Analysis of Non-Circular Hollow Cross-Sect...IRJET- Computer Aided Modeling and Analysis of Non-Circular Hollow Cross-Sect...
IRJET- Computer Aided Modeling and Analysis of Non-Circular Hollow Cross-Sect...IRJET Journal
ย 
Bhushjan
BhushjanBhushjan
Bhushjanvrw23194
ย 
IRJET- Modification of Root Fillet Profile for Optimum Gear Life
IRJET-  	  Modification of Root Fillet Profile for Optimum Gear LifeIRJET-  	  Modification of Root Fillet Profile for Optimum Gear Life
IRJET- Modification of Root Fillet Profile for Optimum Gear LifeIRJET Journal
ย 
IRJET- Structural Performance of Detachable Steel Columns with Bolted-Flange ...
IRJET- Structural Performance of Detachable Steel Columns with Bolted-Flange ...IRJET- Structural Performance of Detachable Steel Columns with Bolted-Flange ...
IRJET- Structural Performance of Detachable Steel Columns with Bolted-Flange ...IRJET Journal
ย 
Computer Aided Design and Analysis of Load Deflection Behaviour Of Diaphragm ...
Computer Aided Design and Analysis of Load Deflection Behaviour Of Diaphragm ...Computer Aided Design and Analysis of Load Deflection Behaviour Of Diaphragm ...
Computer Aided Design and Analysis of Load Deflection Behaviour Of Diaphragm ...IRJET Journal
ย 
Comparative Theoretical Design of Leaf Spring and V-Shape Spring to Improved ...
Comparative Theoretical Design of Leaf Spring and V-Shape Spring to Improved ...Comparative Theoretical Design of Leaf Spring and V-Shape Spring to Improved ...
Comparative Theoretical Design of Leaf Spring and V-Shape Spring to Improved ...IRJET Journal
ย 
IRJET-Analysis of Load Factors and Modes of Failure on Spur Gear
IRJET-Analysis of Load Factors and Modes of Failure on Spur GearIRJET-Analysis of Load Factors and Modes of Failure on Spur Gear
IRJET-Analysis of Load Factors and Modes of Failure on Spur GearIRJET Journal
ย 
Fabrication of helical spring load testing machine
Fabrication of helical spring load testing machineFabrication of helical spring load testing machine
Fabrication of helical spring load testing machineEcway Technologies
ย 
IRJET- Design and development of Hydraulic Lift for fastening of a SPM (S...
IRJET-  	  Design and development of Hydraulic Lift for fastening of a SPM (S...IRJET-  	  Design and development of Hydraulic Lift for fastening of a SPM (S...
IRJET- Design and development of Hydraulic Lift for fastening of a SPM (S...IRJET Journal
ย 
Performance Optimization of Tie rod using FEA
Performance Optimization of Tie rod using FEAPerformance Optimization of Tie rod using FEA
Performance Optimization of Tie rod using FEAIJERD Editor
ย 
CAE ANALYSIS โ€“ PROPELLER BLADE
CAE ANALYSIS โ€“ PROPELLER BLADECAE ANALYSIS โ€“ PROPELLER BLADE
CAE ANALYSIS โ€“ PROPELLER BLADEIRJET Journal
ย 
An Experimental and Theoretical Analysis & Modification of a Shock Absorber o...
An Experimental and Theoretical Analysis & Modification of a Shock Absorber o...An Experimental and Theoretical Analysis & Modification of a Shock Absorber o...
An Experimental and Theoretical Analysis & Modification of a Shock Absorber o...IJSRD
ย 
IRJET- Design Analysis of a Automotive Shock Absorber Assembly
IRJET- Design Analysis of a Automotive Shock Absorber AssemblyIRJET- Design Analysis of a Automotive Shock Absorber Assembly
IRJET- Design Analysis of a Automotive Shock Absorber AssemblyIRJET Journal
ย 
IRJET- Transient Dynamic Analysis and Optimization of a Piston in an Automobi...
IRJET- Transient Dynamic Analysis and Optimization of a Piston in an Automobi...IRJET- Transient Dynamic Analysis and Optimization of a Piston in an Automobi...
IRJET- Transient Dynamic Analysis and Optimization of a Piston in an Automobi...IRJET Journal
ย 
Failure analysis of cylinder head valve spring in locomotives
Failure analysis of cylinder head valve spring in locomotivesFailure analysis of cylinder head valve spring in locomotives
Failure analysis of cylinder head valve spring in locomotivesIRJET Journal
ย 
IRJET- Investigation of Design Parameters that Affect the Performance of Angu...
IRJET- Investigation of Design Parameters that Affect the Performance of Angu...IRJET- Investigation of Design Parameters that Affect the Performance of Angu...
IRJET- Investigation of Design Parameters that Affect the Performance of Angu...IRJET Journal
ย 

Similar to IRJET - Research Review on Analysis of Load- Stress deflection Characteristics of Modified Diaphragm spring (20)

IRJET- Review Paper on Belleville Spring through Numerical and Simulation App...
IRJET- Review Paper on Belleville Spring through Numerical and Simulation App...IRJET- Review Paper on Belleville Spring through Numerical and Simulation App...
IRJET- Review Paper on Belleville Spring through Numerical and Simulation App...
ย 
IRJET- A Dynamic Analysis on the Comparison of Helical and Wave Springs
IRJET- A Dynamic Analysis on the Comparison of Helical and Wave SpringsIRJET- A Dynamic Analysis on the Comparison of Helical and Wave Springs
IRJET- A Dynamic Analysis on the Comparison of Helical and Wave Springs
ย 
Comparison of Bending Stresses in Involute and Cycloidal Profile Spur Gear Tooth
Comparison of Bending Stresses in Involute and Cycloidal Profile Spur Gear ToothComparison of Bending Stresses in Involute and Cycloidal Profile Spur Gear Tooth
Comparison of Bending Stresses in Involute and Cycloidal Profile Spur Gear Tooth
ย 
Evaluation of Reduction in Compressive Strength of Singly Symmetric CFS Membe...
Evaluation of Reduction in Compressive Strength of Singly Symmetric CFS Membe...Evaluation of Reduction in Compressive Strength of Singly Symmetric CFS Membe...
Evaluation of Reduction in Compressive Strength of Singly Symmetric CFS Membe...
ย 
IRJET- Computer Aided Modeling and Analysis of Non-Circular Hollow Cross-Sect...
IRJET- Computer Aided Modeling and Analysis of Non-Circular Hollow Cross-Sect...IRJET- Computer Aided Modeling and Analysis of Non-Circular Hollow Cross-Sect...
IRJET- Computer Aided Modeling and Analysis of Non-Circular Hollow Cross-Sect...
ย 
Bhushjan
BhushjanBhushjan
Bhushjan
ย 
IRJET- Modification of Root Fillet Profile for Optimum Gear Life
IRJET-  	  Modification of Root Fillet Profile for Optimum Gear LifeIRJET-  	  Modification of Root Fillet Profile for Optimum Gear Life
IRJET- Modification of Root Fillet Profile for Optimum Gear Life
ย 
IRJET- Structural Performance of Detachable Steel Columns with Bolted-Flange ...
IRJET- Structural Performance of Detachable Steel Columns with Bolted-Flange ...IRJET- Structural Performance of Detachable Steel Columns with Bolted-Flange ...
IRJET- Structural Performance of Detachable Steel Columns with Bolted-Flange ...
ย 
Computer Aided Design and Analysis of Load Deflection Behaviour Of Diaphragm ...
Computer Aided Design and Analysis of Load Deflection Behaviour Of Diaphragm ...Computer Aided Design and Analysis of Load Deflection Behaviour Of Diaphragm ...
Computer Aided Design and Analysis of Load Deflection Behaviour Of Diaphragm ...
ย 
Comparative Theoretical Design of Leaf Spring and V-Shape Spring to Improved ...
Comparative Theoretical Design of Leaf Spring and V-Shape Spring to Improved ...Comparative Theoretical Design of Leaf Spring and V-Shape Spring to Improved ...
Comparative Theoretical Design of Leaf Spring and V-Shape Spring to Improved ...
ย 
IRJET-Analysis of Load Factors and Modes of Failure on Spur Gear
IRJET-Analysis of Load Factors and Modes of Failure on Spur GearIRJET-Analysis of Load Factors and Modes of Failure on Spur Gear
IRJET-Analysis of Load Factors and Modes of Failure on Spur Gear
ย 
Fabrication of helical spring load testing machine
Fabrication of helical spring load testing machineFabrication of helical spring load testing machine
Fabrication of helical spring load testing machine
ย 
IRJET- Design and development of Hydraulic Lift for fastening of a SPM (S...
IRJET-  	  Design and development of Hydraulic Lift for fastening of a SPM (S...IRJET-  	  Design and development of Hydraulic Lift for fastening of a SPM (S...
IRJET- Design and development of Hydraulic Lift for fastening of a SPM (S...
ย 
Performance Optimization of Tie rod using FEA
Performance Optimization of Tie rod using FEAPerformance Optimization of Tie rod using FEA
Performance Optimization of Tie rod using FEA
ย 
CAE ANALYSIS โ€“ PROPELLER BLADE
CAE ANALYSIS โ€“ PROPELLER BLADECAE ANALYSIS โ€“ PROPELLER BLADE
CAE ANALYSIS โ€“ PROPELLER BLADE
ย 
An Experimental and Theoretical Analysis & Modification of a Shock Absorber o...
An Experimental and Theoretical Analysis & Modification of a Shock Absorber o...An Experimental and Theoretical Analysis & Modification of a Shock Absorber o...
An Experimental and Theoretical Analysis & Modification of a Shock Absorber o...
ย 
IRJET- Design Analysis of a Automotive Shock Absorber Assembly
IRJET- Design Analysis of a Automotive Shock Absorber AssemblyIRJET- Design Analysis of a Automotive Shock Absorber Assembly
IRJET- Design Analysis of a Automotive Shock Absorber Assembly
ย 
IRJET- Transient Dynamic Analysis and Optimization of a Piston in an Automobi...
IRJET- Transient Dynamic Analysis and Optimization of a Piston in an Automobi...IRJET- Transient Dynamic Analysis and Optimization of a Piston in an Automobi...
IRJET- Transient Dynamic Analysis and Optimization of a Piston in an Automobi...
ย 
Failure analysis of cylinder head valve spring in locomotives
Failure analysis of cylinder head valve spring in locomotivesFailure analysis of cylinder head valve spring in locomotives
Failure analysis of cylinder head valve spring in locomotives
ย 
IRJET- Investigation of Design Parameters that Affect the Performance of Angu...
IRJET- Investigation of Design Parameters that Affect the Performance of Angu...IRJET- Investigation of Design Parameters that Affect the Performance of Angu...
IRJET- Investigation of Design Parameters that Affect the Performance of Angu...
ย 

More from IRJET Journal

TUNNELING IN HIMALAYAS WITH NATM METHOD: A SPECIAL REFERENCES TO SUNGAL TUNNE...
TUNNELING IN HIMALAYAS WITH NATM METHOD: A SPECIAL REFERENCES TO SUNGAL TUNNE...TUNNELING IN HIMALAYAS WITH NATM METHOD: A SPECIAL REFERENCES TO SUNGAL TUNNE...
TUNNELING IN HIMALAYAS WITH NATM METHOD: A SPECIAL REFERENCES TO SUNGAL TUNNE...IRJET Journal
ย 
STUDY THE EFFECT OF RESPONSE REDUCTION FACTOR ON RC FRAMED STRUCTURE
STUDY THE EFFECT OF RESPONSE REDUCTION FACTOR ON RC FRAMED STRUCTURESTUDY THE EFFECT OF RESPONSE REDUCTION FACTOR ON RC FRAMED STRUCTURE
STUDY THE EFFECT OF RESPONSE REDUCTION FACTOR ON RC FRAMED STRUCTUREIRJET Journal
ย 
A COMPARATIVE ANALYSIS OF RCC ELEMENT OF SLAB WITH STARK STEEL (HYSD STEEL) A...
A COMPARATIVE ANALYSIS OF RCC ELEMENT OF SLAB WITH STARK STEEL (HYSD STEEL) A...A COMPARATIVE ANALYSIS OF RCC ELEMENT OF SLAB WITH STARK STEEL (HYSD STEEL) A...
A COMPARATIVE ANALYSIS OF RCC ELEMENT OF SLAB WITH STARK STEEL (HYSD STEEL) A...IRJET Journal
ย 
Effect of Camber and Angles of Attack on Airfoil Characteristics
Effect of Camber and Angles of Attack on Airfoil CharacteristicsEffect of Camber and Angles of Attack on Airfoil Characteristics
Effect of Camber and Angles of Attack on Airfoil CharacteristicsIRJET Journal
ย 
A Review on the Progress and Challenges of Aluminum-Based Metal Matrix Compos...
A Review on the Progress and Challenges of Aluminum-Based Metal Matrix Compos...A Review on the Progress and Challenges of Aluminum-Based Metal Matrix Compos...
A Review on the Progress and Challenges of Aluminum-Based Metal Matrix Compos...IRJET Journal
ย 
Dynamic Urban Transit Optimization: A Graph Neural Network Approach for Real-...
Dynamic Urban Transit Optimization: A Graph Neural Network Approach for Real-...Dynamic Urban Transit Optimization: A Graph Neural Network Approach for Real-...
Dynamic Urban Transit Optimization: A Graph Neural Network Approach for Real-...IRJET Journal
ย 
Structural Analysis and Design of Multi-Storey Symmetric and Asymmetric Shape...
Structural Analysis and Design of Multi-Storey Symmetric and Asymmetric Shape...Structural Analysis and Design of Multi-Storey Symmetric and Asymmetric Shape...
Structural Analysis and Design of Multi-Storey Symmetric and Asymmetric Shape...IRJET Journal
ย 
A Review of โ€œSeismic Response of RC Structures Having Plan and Vertical Irreg...
A Review of โ€œSeismic Response of RC Structures Having Plan and Vertical Irreg...A Review of โ€œSeismic Response of RC Structures Having Plan and Vertical Irreg...
A Review of โ€œSeismic Response of RC Structures Having Plan and Vertical Irreg...IRJET Journal
ย 
A REVIEW ON MACHINE LEARNING IN ADAS
A REVIEW ON MACHINE LEARNING IN ADASA REVIEW ON MACHINE LEARNING IN ADAS
A REVIEW ON MACHINE LEARNING IN ADASIRJET Journal
ย 
Long Term Trend Analysis of Precipitation and Temperature for Asosa district,...
Long Term Trend Analysis of Precipitation and Temperature for Asosa district,...Long Term Trend Analysis of Precipitation and Temperature for Asosa district,...
Long Term Trend Analysis of Precipitation and Temperature for Asosa district,...IRJET Journal
ย 
P.E.B. Framed Structure Design and Analysis Using STAAD Pro
P.E.B. Framed Structure Design and Analysis Using STAAD ProP.E.B. Framed Structure Design and Analysis Using STAAD Pro
P.E.B. Framed Structure Design and Analysis Using STAAD ProIRJET Journal
ย 
A Review on Innovative Fiber Integration for Enhanced Reinforcement of Concre...
A Review on Innovative Fiber Integration for Enhanced Reinforcement of Concre...A Review on Innovative Fiber Integration for Enhanced Reinforcement of Concre...
A Review on Innovative Fiber Integration for Enhanced Reinforcement of Concre...IRJET Journal
ย 
Survey Paper on Cloud-Based Secured Healthcare System
Survey Paper on Cloud-Based Secured Healthcare SystemSurvey Paper on Cloud-Based Secured Healthcare System
Survey Paper on Cloud-Based Secured Healthcare SystemIRJET Journal
ย 
Review on studies and research on widening of existing concrete bridges
Review on studies and research on widening of existing concrete bridgesReview on studies and research on widening of existing concrete bridges
Review on studies and research on widening of existing concrete bridgesIRJET Journal
ย 
React based fullstack edtech web application
React based fullstack edtech web applicationReact based fullstack edtech web application
React based fullstack edtech web applicationIRJET Journal
ย 
A Comprehensive Review of Integrating IoT and Blockchain Technologies in the ...
A Comprehensive Review of Integrating IoT and Blockchain Technologies in the ...A Comprehensive Review of Integrating IoT and Blockchain Technologies in the ...
A Comprehensive Review of Integrating IoT and Blockchain Technologies in the ...IRJET Journal
ย 
A REVIEW ON THE PERFORMANCE OF COCONUT FIBRE REINFORCED CONCRETE.
A REVIEW ON THE PERFORMANCE OF COCONUT FIBRE REINFORCED CONCRETE.A REVIEW ON THE PERFORMANCE OF COCONUT FIBRE REINFORCED CONCRETE.
A REVIEW ON THE PERFORMANCE OF COCONUT FIBRE REINFORCED CONCRETE.IRJET Journal
ย 
Optimizing Business Management Process Workflows: The Dynamic Influence of Mi...
Optimizing Business Management Process Workflows: The Dynamic Influence of Mi...Optimizing Business Management Process Workflows: The Dynamic Influence of Mi...
Optimizing Business Management Process Workflows: The Dynamic Influence of Mi...IRJET Journal
ย 
Multistoried and Multi Bay Steel Building Frame by using Seismic Design
Multistoried and Multi Bay Steel Building Frame by using Seismic DesignMultistoried and Multi Bay Steel Building Frame by using Seismic Design
Multistoried and Multi Bay Steel Building Frame by using Seismic DesignIRJET Journal
ย 
Cost Optimization of Construction Using Plastic Waste as a Sustainable Constr...
Cost Optimization of Construction Using Plastic Waste as a Sustainable Constr...Cost Optimization of Construction Using Plastic Waste as a Sustainable Constr...
Cost Optimization of Construction Using Plastic Waste as a Sustainable Constr...IRJET Journal
ย 

More from IRJET Journal (20)

TUNNELING IN HIMALAYAS WITH NATM METHOD: A SPECIAL REFERENCES TO SUNGAL TUNNE...
TUNNELING IN HIMALAYAS WITH NATM METHOD: A SPECIAL REFERENCES TO SUNGAL TUNNE...TUNNELING IN HIMALAYAS WITH NATM METHOD: A SPECIAL REFERENCES TO SUNGAL TUNNE...
TUNNELING IN HIMALAYAS WITH NATM METHOD: A SPECIAL REFERENCES TO SUNGAL TUNNE...
ย 
STUDY THE EFFECT OF RESPONSE REDUCTION FACTOR ON RC FRAMED STRUCTURE
STUDY THE EFFECT OF RESPONSE REDUCTION FACTOR ON RC FRAMED STRUCTURESTUDY THE EFFECT OF RESPONSE REDUCTION FACTOR ON RC FRAMED STRUCTURE
STUDY THE EFFECT OF RESPONSE REDUCTION FACTOR ON RC FRAMED STRUCTURE
ย 
A COMPARATIVE ANALYSIS OF RCC ELEMENT OF SLAB WITH STARK STEEL (HYSD STEEL) A...
A COMPARATIVE ANALYSIS OF RCC ELEMENT OF SLAB WITH STARK STEEL (HYSD STEEL) A...A COMPARATIVE ANALYSIS OF RCC ELEMENT OF SLAB WITH STARK STEEL (HYSD STEEL) A...
A COMPARATIVE ANALYSIS OF RCC ELEMENT OF SLAB WITH STARK STEEL (HYSD STEEL) A...
ย 
Effect of Camber and Angles of Attack on Airfoil Characteristics
Effect of Camber and Angles of Attack on Airfoil CharacteristicsEffect of Camber and Angles of Attack on Airfoil Characteristics
Effect of Camber and Angles of Attack on Airfoil Characteristics
ย 
A Review on the Progress and Challenges of Aluminum-Based Metal Matrix Compos...
A Review on the Progress and Challenges of Aluminum-Based Metal Matrix Compos...A Review on the Progress and Challenges of Aluminum-Based Metal Matrix Compos...
A Review on the Progress and Challenges of Aluminum-Based Metal Matrix Compos...
ย 
Dynamic Urban Transit Optimization: A Graph Neural Network Approach for Real-...
Dynamic Urban Transit Optimization: A Graph Neural Network Approach for Real-...Dynamic Urban Transit Optimization: A Graph Neural Network Approach for Real-...
Dynamic Urban Transit Optimization: A Graph Neural Network Approach for Real-...
ย 
Structural Analysis and Design of Multi-Storey Symmetric and Asymmetric Shape...
Structural Analysis and Design of Multi-Storey Symmetric and Asymmetric Shape...Structural Analysis and Design of Multi-Storey Symmetric and Asymmetric Shape...
Structural Analysis and Design of Multi-Storey Symmetric and Asymmetric Shape...
ย 
A Review of โ€œSeismic Response of RC Structures Having Plan and Vertical Irreg...
A Review of โ€œSeismic Response of RC Structures Having Plan and Vertical Irreg...A Review of โ€œSeismic Response of RC Structures Having Plan and Vertical Irreg...
A Review of โ€œSeismic Response of RC Structures Having Plan and Vertical Irreg...
ย 
A REVIEW ON MACHINE LEARNING IN ADAS
A REVIEW ON MACHINE LEARNING IN ADASA REVIEW ON MACHINE LEARNING IN ADAS
A REVIEW ON MACHINE LEARNING IN ADAS
ย 
Long Term Trend Analysis of Precipitation and Temperature for Asosa district,...
Long Term Trend Analysis of Precipitation and Temperature for Asosa district,...Long Term Trend Analysis of Precipitation and Temperature for Asosa district,...
Long Term Trend Analysis of Precipitation and Temperature for Asosa district,...
ย 
P.E.B. Framed Structure Design and Analysis Using STAAD Pro
P.E.B. Framed Structure Design and Analysis Using STAAD ProP.E.B. Framed Structure Design and Analysis Using STAAD Pro
P.E.B. Framed Structure Design and Analysis Using STAAD Pro
ย 
A Review on Innovative Fiber Integration for Enhanced Reinforcement of Concre...
A Review on Innovative Fiber Integration for Enhanced Reinforcement of Concre...A Review on Innovative Fiber Integration for Enhanced Reinforcement of Concre...
A Review on Innovative Fiber Integration for Enhanced Reinforcement of Concre...
ย 
Survey Paper on Cloud-Based Secured Healthcare System
Survey Paper on Cloud-Based Secured Healthcare SystemSurvey Paper on Cloud-Based Secured Healthcare System
Survey Paper on Cloud-Based Secured Healthcare System
ย 
Review on studies and research on widening of existing concrete bridges
Review on studies and research on widening of existing concrete bridgesReview on studies and research on widening of existing concrete bridges
Review on studies and research on widening of existing concrete bridges
ย 
React based fullstack edtech web application
React based fullstack edtech web applicationReact based fullstack edtech web application
React based fullstack edtech web application
ย 
A Comprehensive Review of Integrating IoT and Blockchain Technologies in the ...
A Comprehensive Review of Integrating IoT and Blockchain Technologies in the ...A Comprehensive Review of Integrating IoT and Blockchain Technologies in the ...
A Comprehensive Review of Integrating IoT and Blockchain Technologies in the ...
ย 
A REVIEW ON THE PERFORMANCE OF COCONUT FIBRE REINFORCED CONCRETE.
A REVIEW ON THE PERFORMANCE OF COCONUT FIBRE REINFORCED CONCRETE.A REVIEW ON THE PERFORMANCE OF COCONUT FIBRE REINFORCED CONCRETE.
A REVIEW ON THE PERFORMANCE OF COCONUT FIBRE REINFORCED CONCRETE.
ย 
Optimizing Business Management Process Workflows: The Dynamic Influence of Mi...
Optimizing Business Management Process Workflows: The Dynamic Influence of Mi...Optimizing Business Management Process Workflows: The Dynamic Influence of Mi...
Optimizing Business Management Process Workflows: The Dynamic Influence of Mi...
ย 
Multistoried and Multi Bay Steel Building Frame by using Seismic Design
Multistoried and Multi Bay Steel Building Frame by using Seismic DesignMultistoried and Multi Bay Steel Building Frame by using Seismic Design
Multistoried and Multi Bay Steel Building Frame by using Seismic Design
ย 
Cost Optimization of Construction Using Plastic Waste as a Sustainable Constr...
Cost Optimization of Construction Using Plastic Waste as a Sustainable Constr...Cost Optimization of Construction Using Plastic Waste as a Sustainable Constr...
Cost Optimization of Construction Using Plastic Waste as a Sustainable Constr...
ย 

Recently uploaded

UNIT-V FMM.HYDRAULIC TURBINE - Construction and working
UNIT-V FMM.HYDRAULIC TURBINE - Construction and workingUNIT-V FMM.HYDRAULIC TURBINE - Construction and working
UNIT-V FMM.HYDRAULIC TURBINE - Construction and workingrknatarajan
ย 
Online banking management system project.pdf
Online banking management system project.pdfOnline banking management system project.pdf
Online banking management system project.pdfKamal Acharya
ย 
AKTU Computer Networks notes --- Unit 3.pdf
AKTU Computer Networks notes ---  Unit 3.pdfAKTU Computer Networks notes ---  Unit 3.pdf
AKTU Computer Networks notes --- Unit 3.pdfankushspencer015
ย 
Call Girls Pimpri Chinchwad Call Me 7737669865 Budget Friendly No Advance Boo...
Call Girls Pimpri Chinchwad Call Me 7737669865 Budget Friendly No Advance Boo...Call Girls Pimpri Chinchwad Call Me 7737669865 Budget Friendly No Advance Boo...
Call Girls Pimpri Chinchwad Call Me 7737669865 Budget Friendly No Advance Boo...roncy bisnoi
ย 
University management System project report..pdf
University management System project report..pdfUniversity management System project report..pdf
University management System project report..pdfKamal Acharya
ย 
ONLINE FOOD ORDER SYSTEM PROJECT REPORT.pdf
ONLINE FOOD ORDER SYSTEM PROJECT REPORT.pdfONLINE FOOD ORDER SYSTEM PROJECT REPORT.pdf
ONLINE FOOD ORDER SYSTEM PROJECT REPORT.pdfKamal Acharya
ย 
Call for Papers - African Journal of Biological Sciences, E-ISSN: 2663-2187, ...
Call for Papers - African Journal of Biological Sciences, E-ISSN: 2663-2187, ...Call for Papers - African Journal of Biological Sciences, E-ISSN: 2663-2187, ...
Call for Papers - African Journal of Biological Sciences, E-ISSN: 2663-2187, ...Christo Ananth
ย 
Double rodded leveling 1 pdf activity 01
Double rodded leveling 1 pdf activity 01Double rodded leveling 1 pdf activity 01
Double rodded leveling 1 pdf activity 01KreezheaRecto
ย 
VIP Model Call Girls Kothrud ( Pune ) Call ON 8005736733 Starting From 5K to ...
VIP Model Call Girls Kothrud ( Pune ) Call ON 8005736733 Starting From 5K to ...VIP Model Call Girls Kothrud ( Pune ) Call ON 8005736733 Starting From 5K to ...
VIP Model Call Girls Kothrud ( Pune ) Call ON 8005736733 Starting From 5K to ...SUHANI PANDEY
ย 
Intze Overhead Water Tank Design by Working Stress - IS Method.pdf
Intze Overhead Water Tank  Design by Working Stress - IS Method.pdfIntze Overhead Water Tank  Design by Working Stress - IS Method.pdf
Intze Overhead Water Tank Design by Working Stress - IS Method.pdfSuman Jyoti
ย 
BSides Seattle 2024 - Stopping Ethan Hunt From Taking Your Data.pptx
BSides Seattle 2024 - Stopping Ethan Hunt From Taking Your Data.pptxBSides Seattle 2024 - Stopping Ethan Hunt From Taking Your Data.pptx
BSides Seattle 2024 - Stopping Ethan Hunt From Taking Your Data.pptxfenichawla
ย 
Call for Papers - Educational Administration: Theory and Practice, E-ISSN: 21...
Call for Papers - Educational Administration: Theory and Practice, E-ISSN: 21...Call for Papers - Educational Administration: Theory and Practice, E-ISSN: 21...
Call for Papers - Educational Administration: Theory and Practice, E-ISSN: 21...Christo Ananth
ย 
Thermal Engineering Unit - I & II . ppt
Thermal Engineering  Unit - I & II . pptThermal Engineering  Unit - I & II . ppt
Thermal Engineering Unit - I & II . pptDineshKumar4165
ย 
data_management_and _data_science_cheat_sheet.pdf
data_management_and _data_science_cheat_sheet.pdfdata_management_and _data_science_cheat_sheet.pdf
data_management_and _data_science_cheat_sheet.pdfJiananWang21
ย 
NFPA 5000 2024 standard .
NFPA 5000 2024 standard                                  .NFPA 5000 2024 standard                                  .
NFPA 5000 2024 standard .DerechoLaboralIndivi
ย 
Coefficient of Thermal Expansion and their Importance.pptx
Coefficient of Thermal Expansion and their Importance.pptxCoefficient of Thermal Expansion and their Importance.pptx
Coefficient of Thermal Expansion and their Importance.pptxAsutosh Ranjan
ย 
Call Now โ‰ฝ 9953056974 โ‰ผ๐Ÿ” Call Girls In New Ashok Nagar โ‰ผ๐Ÿ” Delhi door step de...
Call Now โ‰ฝ 9953056974 โ‰ผ๐Ÿ” Call Girls In New Ashok Nagar  โ‰ผ๐Ÿ” Delhi door step de...Call Now โ‰ฝ 9953056974 โ‰ผ๐Ÿ” Call Girls In New Ashok Nagar  โ‰ผ๐Ÿ” Delhi door step de...
Call Now โ‰ฝ 9953056974 โ‰ผ๐Ÿ” Call Girls In New Ashok Nagar โ‰ผ๐Ÿ” Delhi door step de...9953056974 Low Rate Call Girls In Saket, Delhi NCR
ย 

Recently uploaded (20)

(INDIRA) Call Girl Bhosari Call Now 8617697112 Bhosari Escorts 24x7
(INDIRA) Call Girl Bhosari Call Now 8617697112 Bhosari Escorts 24x7(INDIRA) Call Girl Bhosari Call Now 8617697112 Bhosari Escorts 24x7
(INDIRA) Call Girl Bhosari Call Now 8617697112 Bhosari Escorts 24x7
ย 
UNIT-V FMM.HYDRAULIC TURBINE - Construction and working
UNIT-V FMM.HYDRAULIC TURBINE - Construction and workingUNIT-V FMM.HYDRAULIC TURBINE - Construction and working
UNIT-V FMM.HYDRAULIC TURBINE - Construction and working
ย 
Online banking management system project.pdf
Online banking management system project.pdfOnline banking management system project.pdf
Online banking management system project.pdf
ย 
AKTU Computer Networks notes --- Unit 3.pdf
AKTU Computer Networks notes ---  Unit 3.pdfAKTU Computer Networks notes ---  Unit 3.pdf
AKTU Computer Networks notes --- Unit 3.pdf
ย 
Water Industry Process Automation & Control Monthly - April 2024
Water Industry Process Automation & Control Monthly - April 2024Water Industry Process Automation & Control Monthly - April 2024
Water Industry Process Automation & Control Monthly - April 2024
ย 
Call Girls Pimpri Chinchwad Call Me 7737669865 Budget Friendly No Advance Boo...
Call Girls Pimpri Chinchwad Call Me 7737669865 Budget Friendly No Advance Boo...Call Girls Pimpri Chinchwad Call Me 7737669865 Budget Friendly No Advance Boo...
Call Girls Pimpri Chinchwad Call Me 7737669865 Budget Friendly No Advance Boo...
ย 
University management System project report..pdf
University management System project report..pdfUniversity management System project report..pdf
University management System project report..pdf
ย 
ONLINE FOOD ORDER SYSTEM PROJECT REPORT.pdf
ONLINE FOOD ORDER SYSTEM PROJECT REPORT.pdfONLINE FOOD ORDER SYSTEM PROJECT REPORT.pdf
ONLINE FOOD ORDER SYSTEM PROJECT REPORT.pdf
ย 
Call for Papers - African Journal of Biological Sciences, E-ISSN: 2663-2187, ...
Call for Papers - African Journal of Biological Sciences, E-ISSN: 2663-2187, ...Call for Papers - African Journal of Biological Sciences, E-ISSN: 2663-2187, ...
Call for Papers - African Journal of Biological Sciences, E-ISSN: 2663-2187, ...
ย 
Double rodded leveling 1 pdf activity 01
Double rodded leveling 1 pdf activity 01Double rodded leveling 1 pdf activity 01
Double rodded leveling 1 pdf activity 01
ย 
VIP Model Call Girls Kothrud ( Pune ) Call ON 8005736733 Starting From 5K to ...
VIP Model Call Girls Kothrud ( Pune ) Call ON 8005736733 Starting From 5K to ...VIP Model Call Girls Kothrud ( Pune ) Call ON 8005736733 Starting From 5K to ...
VIP Model Call Girls Kothrud ( Pune ) Call ON 8005736733 Starting From 5K to ...
ย 
Intze Overhead Water Tank Design by Working Stress - IS Method.pdf
Intze Overhead Water Tank  Design by Working Stress - IS Method.pdfIntze Overhead Water Tank  Design by Working Stress - IS Method.pdf
Intze Overhead Water Tank Design by Working Stress - IS Method.pdf
ย 
BSides Seattle 2024 - Stopping Ethan Hunt From Taking Your Data.pptx
BSides Seattle 2024 - Stopping Ethan Hunt From Taking Your Data.pptxBSides Seattle 2024 - Stopping Ethan Hunt From Taking Your Data.pptx
BSides Seattle 2024 - Stopping Ethan Hunt From Taking Your Data.pptx
ย 
Call for Papers - Educational Administration: Theory and Practice, E-ISSN: 21...
Call for Papers - Educational Administration: Theory and Practice, E-ISSN: 21...Call for Papers - Educational Administration: Theory and Practice, E-ISSN: 21...
Call for Papers - Educational Administration: Theory and Practice, E-ISSN: 21...
ย 
Thermal Engineering Unit - I & II . ppt
Thermal Engineering  Unit - I & II . pptThermal Engineering  Unit - I & II . ppt
Thermal Engineering Unit - I & II . ppt
ย 
data_management_and _data_science_cheat_sheet.pdf
data_management_and _data_science_cheat_sheet.pdfdata_management_and _data_science_cheat_sheet.pdf
data_management_and _data_science_cheat_sheet.pdf
ย 
Roadmap to Membership of RICS - Pathways and Routes
Roadmap to Membership of RICS - Pathways and RoutesRoadmap to Membership of RICS - Pathways and Routes
Roadmap to Membership of RICS - Pathways and Routes
ย 
NFPA 5000 2024 standard .
NFPA 5000 2024 standard                                  .NFPA 5000 2024 standard                                  .
NFPA 5000 2024 standard .
ย 
Coefficient of Thermal Expansion and their Importance.pptx
Coefficient of Thermal Expansion and their Importance.pptxCoefficient of Thermal Expansion and their Importance.pptx
Coefficient of Thermal Expansion and their Importance.pptx
ย 
Call Now โ‰ฝ 9953056974 โ‰ผ๐Ÿ” Call Girls In New Ashok Nagar โ‰ผ๐Ÿ” Delhi door step de...
Call Now โ‰ฝ 9953056974 โ‰ผ๐Ÿ” Call Girls In New Ashok Nagar  โ‰ผ๐Ÿ” Delhi door step de...Call Now โ‰ฝ 9953056974 โ‰ผ๐Ÿ” Call Girls In New Ashok Nagar  โ‰ผ๐Ÿ” Delhi door step de...
Call Now โ‰ฝ 9953056974 โ‰ผ๐Ÿ” Call Girls In New Ashok Nagar โ‰ผ๐Ÿ” Delhi door step de...
ย 

IRJET - Research Review on Analysis of Load- Stress deflection Characteristics of Modified Diaphragm spring

  • 1. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 07 Issue: 02 | Feb 2020 www.irjet.net p-ISSN: 2395-0072 ยฉ 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 1854 Research Review on Analysis of Load- Stress Deflection Characteristics of Modified Diaphragm Spring P Umesh 1, Purushottam Kumar Sahu2 1BM College of Technology, RGPV, Bhopal Indore, Research Scholar, Dept. of Mechanical Engineering, BM College, MP, Indore 2First BM College of Technology, RGPV, Indore, Professor, Dept. of Mechanical Engineering, BM College, MP, Indore ---------------------------------------------------------------------***---------------------------------------------------------------------- Abstract - Diaphragm spring washers are elastic washers that have circular shapes. They are flexible axially and deflect like springs when they are compressed. Diaphragm spring washers provide preload between two fastened surfaces and are wont to prevent loose fastening, absorb shocks, and eliminate play and uniform load. Diaphragm spring washers are often employed when space is constrained, and moderate load is applied in the operation. In this paper, a systematic method is presented for designing and analyzing Diaphragm spring washers. In model Diaphragm spring washer, a slanted surface is first utilized to define the axial cross section. Solid model of diaphragm. The spring washer is then generated through rotating the slanted Surface with its central axis. The solid model of a Diaphragm springwasheristotally decidedby its four geometric parameters: the internal and external diameters, the thickness of the washer and its height. The design of a Diaphragm washer is systematized during this paper as optimizing its four geometric parameters. The analysis of a Diaphragm washer isconducted basedonitssolid model. Examples on designing and analyzing Diaphragm spring washers are presented in the paper to verify the effectiveness and demonstratetheprocedureoftheintroduced method. Key Words: Belleville Spring, FEA, CATIA, ANSYS, Load deflection curves, h/t ratio 1. INTRODUCTION The Belleville spring is usually loaded only at its edges by circumferentially uniform loads, axial indirectionandwitha sense such that they tend to reduce the cone angle. In most cases the edges are completely free to move. However, certain applications require that either the outer edge be restrained from radial expansion, as would be the case if the spring were inserted in a cylinder, or that the inner edge be restrained from radial contraction, as would be the case if a shaft were inserted through the spring. Some applications may require that both of these restrictions be imposed. 1.1Characteristics of Belleville Springs The simplest type of spring,aprismatictensionspecimen, exhibits a characteristic which is typical of structural members in the elastic range: a linear load deflection curve. Accordingly, the helical spring, the volute spring, the ring spring,andmostcommonspringshaveastraightrelationship between load and deflection. On the other hand, Belleville spring usual1y have a nonlinear relationship between load and deflection, and it is possible to design Belleville springs with many differently shaped load deflection curves. By varying the fundamental parameters, it is possible to obtain positive, zero, and even negative spring rates in given portions of the load deflection curve. The clutch provides a temporary connection betweenthe engine and the gearbox by transmitting engine torque and engine speed in addition to the comfortfunctionoftheclutch. One of the com- fort tasks is to damp the vibration while transmitting torque and speed towards the gearbox. The clutch compensates for vibrations through radial and axial springs. The friction force is obtained by a com-press Belleville spring to the discassembly.Absorptionofvibration is a key according to the characteristic of the engine of the vehicle, and the required torque is calculated. In this study, the load calculation of Belleville spring was done and optimized, and then the results were investigated. Studies on the Belleville spring are limited in the literature and only a few studies have been found about Belleville washer's FEA modeling. No studyhasbeendoneon the clutch Belleville spring regarding the behavior of stress and deflection compared to the Belleville spring, but the parameter optimization to obtain the required load and stress values. The performance of the Belleville spring under com- press load wascomparedbetweenthesimulationandexperimental results. He investigated Belleville spring stress and deflac- tion among experimental Method and FEA method. They reduced the deviation between the results by changing the element formation [1]. Friction clutch design was done with dual Belleville Springs and Friction Plates. They reduced the number of components required by using a Belleville spring as a friction plate [2]. The method was developed to predict the deformation behavior of the Belleville spring under axial load using minimum potential energy theory. The classical thin shell theory in a conical coordinate system was used to prepare Belleville Springs by strain energy and function. Their method brings more precise results between the pre- assumptions and the finite element method than the Almen and Lezlo equation [3]. Composite material was applied to Belleville springs instead of steel and the compositematerial provides similar load and deflection characteristics with steel. Belleville Spring has been shown to be of little interest as clutch elements, with no studies about the shape adaptation of Belleville Spring to be the target curve under stress con-
  • 2. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 07 Issue: 02 | Feb 2020 www.irjet.net p-ISSN: 2395-0072 ยฉ 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 1855 strained. The shape of the Belleville spring has been optimized in this study. Load and stress results were obtained by the finite element method. The design of the experiment was applied to the Latin hypercube sampling method. An evolutionist 1.2 Function of diaphragm spring The diaphragm spring can be a steel disc with a hole in the middle, and therefore the inner part of the disc is moved sequentially to form a variety of inductive (release-lever) fingers. The outer end of the slotted square measurement is given enlarged blunting holes, which distribute the concentrated stresses created during finger deflection, and in addition provide a way of finding rivets of the body part that pin rings. Controls. Landed, it is a shapely shape. As the pressure plate cowl tightens, it pivots on its pin rings, and the dead set exerts a force on the flat pressureplate,andalso the facings. The transmission input shaft passes through the pressure plate. Its parallel splines interact with the internal division of the central disc on the friction disc. With engine rotation, the force current will be transmitted from the regulator disc, through the friction disc, to the central hub and transmission. When the foot lever is depressed, the operation is transferred to the operation fork through the operation mechanism as well as an uncontrollable bearing. The release bearing moves forward and the diaphragm pushes the middle of the spring toward the regulator. The diaphragm on its pin ring stimulates pivots that maneuver incorrectly and act on a pressure-plate retention clip. The pressure plate disintegrates, and the drive is no longer transmitted. Releasing the paddle allows the diaphragm to reapply its clamping force and has a clutch interaction, and the drive is rebuilt. 1.3 Literature review Several researchers have performed stress anddeflection analysis of a Belleville spring. Monica Carfagni [1] performed stress and deflection analysis to formulate CAD method for checkout and design Of Belleville Springs. The method eliminates the need to resort to traditional trial and error techniques. In a matter of seconds, it examines fast and correctly and designs Belleville Springs, producing load conversion Attributes in graphic and table formats andcanproducea drawndrawing. Yes. Schraffmer [2] carried out stress and deflection analysis of a slotted Belleville spring to developananalytical relationship for Deflection and tension of a speckled conical spring. Anudeep and others [5] designed Belleville Spring washer using a mathematical approach. He built it using CATIA software. They Also analyzed finite elements Belleville Spring Washer was designed. Fixed Structural analysis was performed. Material The chosen was H-13 tool steel. Dubey and Bhope [6] demonstrated tensionand Deflection analysis of a disk spring using finite Element Method. Different combination Ratio of its outer diameter and internal Diameter, (rd) and its height for thickness (h / t) is considered to be investigated Major stresses on internal ()i) and external () o) with spring surface Deflection. FE results compared with existing analytical results. Seen it analytical values of principal stress Are greater than the FE value for the outer surface for all ratios of rd and h / t. But as h / t increases Deviation between analytical and FE values Also increases. This trend was also seen For deflection. Also the analytical equation Deflection may be prone to high error For higher loads due to the values of D / D and H / T. Swieskowski [11] developed an analytic Procedure for the design of Belleville washers for energy efficiency. They set the tension Reduction that is obtained by substituting a single Washer assembly by a nested arrangement. In addition they determined optimal stacking Belleville Spring Arrangement. Dharan and Bawan [4] demonstrated feasibility Study of replacing steel disc spring Composite material. Design equation for Steels was modified for composite materials. There were many prototype disc springs Built, tested. They were compared with equivalent steel springs. Result indicated that composite materials could replace Steel for making disc spring. Also, there was a lotofcollectivesavings. Atxaga and others [6] demonstrated failure Analysis of various disc springs Stainless Steel. Patangalto and others [9] Isotropic and composite analyzed disc springs. An application of the Ritz the method based on energy approach was discussed to predict deformation and load Features of such disc springs. Analyzed the effects of Ozaki and others [10] Friction limits on static and dynamic The behavior of the cone disk spring. They narrowed Element method for this analysis. Karkaya [9] examined the effectiveness of the overall Disc springs with different cross-sections and washers are usually round shaped discs that serve Increase the area of contact between the bolt head or nut and Buried parts. A washer bolt is usually used Need to distribute compression load on clamped part on a larger area than what the bolt head or nut can provide. Using a washer also prevents damage to the bearing Surface adjacent to fastener by tightening nut [12]. Washers are important components in fastening and assembly Operations. In addition to acting as a seat for bolts, nuts, screws and rivets, washers perform many other functions including Insulating, sealing, locking, spacing, improving appearance, Taking spring, aligning, distributing load. Washer Are indispensable for the functions of many machines or Importancefor devicesandtheiroperation[13].
  • 3. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 07 Issue: 02 | Feb 2020 www.irjet.net p-ISSN: 2395-0072 ยฉ 2020, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 1856 Spring washers are used to provide offset conditions. To introduce tension, or repetition action of bolted assembly Springs. Even if the duration of their deflection is limited because of their size and especially their height. A Some better performance can be expected pairing multiple washers together. Their stacking capacity, With their compatibility and versatility, spring makes Washers quite advantageous where used in confined places or where a stationary function is required [14]. 1.4. CONCLUSIONS Belleville spring washerโ€™s elastic washersandCircularshape their axial cross section is rectangular Shape. A solid model for designing a Belleville spring washer Need to be installed. For a Belleville Spring Washer model, A tidy rectangle is drawn first which is defined by four Design Parameter of Belleville Spring Washer: Interior And outer diameter, washer height and thickness. The inner and outer diameters are measured vertically Belleville spring washer'saxlewhile washer height with washer axis. Washer thickness the value of the short length oftheoblique rectangle. With him made rectangular, solid model of Belleville the spring washer can be installed by rotating the stand Rectangle with respect to the washer axis. Designinga Belleville Spring Washer is organized in this research Optimization of four design parameters for design Belleville spring washer to fulfill your desired performance Requirements.StandardBellevilleSpring Washers havebeen widely used for various applications due to their convenience to construct. However, the standard Belleville spring washers A disadvantage is the amount or weight of their contents. Belleville to reduce the amount or weight of material for spring Washers, fivedifferentsizemodifications (internal slots,) Outer slot, middlehole,mixedholeandinner slot, Mixed holes and external slots) are presented in this research. Belleville spring washerswithmodifiedshapes are analyzed and compared with their standardBellevillespring washer. Belleville spring washerwithmixedholes Andmuch less material is found in the outer slotthantheItโ€™sassociated standard Belleville spring washer. The maximum stress within a standard Belleville spring washer is Much more than itโ€™s associated Belleville spring washer with mixed holes and internal slots when they occur under the same input displacement. REFERENCES 1. D. Kornack and P. Rakic, โ€œCell Proliferation without Neurogenesis in Adult Primate Neocortex,โ€Science, vol. 294, Dec.2001, pp.2127-2130, doi:10.1126/science.1065467. 2. M. Young, the Technical Writerโ€™s Handbook. Mill Valley, CA: University Science, 1989. 3. R. Nicole, โ€œTitle of paper with only first word capitalized,โ€ J. Name Stand. Abbrev. In press. 4. Dharan CKH, Bavman JA. Composite disc springs, Composites Part A. 2007; (38): 2511โ€“2516p. 5. Anudeep B., Uppendra N., Suresh B., Design and Finite Element Analysis of H13 Tool Steel Belleville Spring Washer, Int J Mater Sci Eng, 2016;4(4):200โ€“ 207p. 6. Dubey HK, Bhope DV. StressandDeflectionAnalysis of Belleville Spring, IOSR J Mech Civil Eng. 2012; 2(5): 1โ€“6p. 7. Swieskowsi HP. Design Analysis of Belleville Washer Springs, Springfield Armory, Springfield, Mass. Research and Engineering, 1963. 8. Atxaga G, Pelayo A, Irisarri AM. Failure Analysis ofa set of Stainless steel disc spring, Eng Fail Anal. 2005; 13: 226โ€“ 234p. 9. Patangtalo W, Aimmanee S, Chutima S. A unified analysis of isotropic and composite Belleville springs, Thinโ€“Walled Struct. 2016; 109: 285โ€“295p. 10. Ozaki S, Tsuda K, Tominaga J. Analysis of Static and Dynamic behavior of Coned disk springs: effects of friction boundaries, Thinโ€“Walled Struct. 2012; 59: 132โ€“143p. 11. Swieskowsi HP. Design Analysis of Belleville Washer Springs, Springfield Armory, Springfield, Mass. Research and Engineering, 1963. 12. R.L. Norton, Machine Design, Fifth Edition. Upper Saddle River, NJ: Prentice Hall, 2013. 13. Precision Metal forming Association, Facts about Washers, Fourth Edition. The Washer Division, 27027 Chardon Road, Richmond Heights,OH,1992. 14. Associated Spring Corporation, Engineering Guide to Spring Design. Bristol, CT: Associated Spring Corporation, 1987.