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INTERNATIONAL RESEARCH JOURNAL OF ENGINEERING AND TECHNOLOGY (IRJET) E-ISSN: 2395-0056
VOLUME: 06 ISSUE: 05 | MAY 2019 WWW.IRJET.NET P-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2146
Design and Analysis of Axial Fan Rotor Parts
Dr. S. Sambath1, P. Santhosh2, D. Naveen kumar3, M. Jagadesh4
1Professor, Dept of Mechanical Engineering, R.M.K. Engineering College, Chennai, India
2,3,4UG Student, Dept of Mechanical Engineering, R.M.K. Engineering College, Chennai, India
------------------------------------------------------------------------***-------------------------------------------------------------------------
Abstract – An axial fan is a type of a compressor that
increases the pressure of the air, flowing through it.
The blades of the axial flow fans, force air to move
parallel to the shaft about which the blades rotate. Aim
of the present work is to design parts of axial fan rotor
and to determine stresses acting in various section of
blade, blade shaft of axial fan rotor by static analysis.
Stresses obtained through finite element analysis are
compared with the analytical calculation performed in
the handbook for the size of fan blade assembly. The
values of both the analytical and finite element method
are approximately the same; another objective is to
determine Stresses acting at various section of the
aerofoil blade. Thereby, performing a modal analysis
and to determine the Blade shaft assembly natural
frequency modes from the finite element method.
Then natural frequency modes are to be compared
with the excitation frequency at 1x.2x and 16x (blade
pass frequency). Design safe is checked based on the
obtained results.
I. INTRODUCTION
An axial fan is a type of a compressor that increases the
pressure of the air flowing through it. The blades of the
axial flow fans force air to move parallel to the shaft about
which the blades rotate. In other words, the flow is axially
in and axially out, linearly, hence their name. The design
priorities in an axial fan revolve around the design of the
propeller that creates the pressure difference and hence
the suction force that retains the flow across the fan. The
main components that need to be studied in the designing
of the propeller include the number of blades and the
design of each blade. Their applications include propellers
in aircraft, helicopters, hovercrafts, ships and hydrofoils.
They are also used in wind tunnels and cooling towers.
If the propeller is exercising propulsion, then
efficiency is the only parameter of interest and other
parameters like power required and flow rate are
considered of no interest. In case the propeller is used as a
fan, the parameters of interest include power, flow rate,
pressure rise and efficiency. An axial fan consists of much
fewer blades i.e., two to six, as compared to ducted fans.
Axial fans operate at high specific speed i.e., high flow rate
and low head and hence adding more blades will restrict
the high flow rate required for its operation. Due to fewer
blades, they are unable to impose their geometry on the
flow, making the rotor geometry and the inlet and
outlet velocity triangles meaningless. Also, the blades are
made very long with varying blade sections along the
radius.
A. Parameters Of Fans
The various parameters of fans are as follows
• Volume
• Differential pressure
• Temperature
• Density of the medium handled
B. Fan Law
• Flow α N.D3
• Pressure α N2.D2
• Power α N3.D5
Where,
N – Speed of fan
D – Diameter of fan
C. Fields Of Application
Axial-flow fans in thermal power stations are used as
fresh-air (forced-draft), induced draft and pulverize air
Fans (primary air Fans); in recent years they have also
become more widespread in a flue-gas de- sulphurizing
(FGD). Their use is not contingent on the fuel type
employed (coal, oil, gas, peat), although fuel type is
naturally a design determinant, specifically with induced
draft units. Regarding the installation of Fans downstream
of electrostatic precipitators, today’s flue gas
desulphurizing plants support various circuit
configurations and hence, different arrangement of induced
draft and FGD Fans. In recent years, axial fans operating as
“booster fans” on the wet-gas side downstream of the
scrubber have gained particular importance. With these
units, the choice of material, surface protection
considerations and sealing towards then conveyed-medium
circuitrequire particular attention.
D. Objective Of The Product
•To study the stresses acting on various sections of blade
INTERNATIONAL RESEARCH JOURNAL OF ENGINEERING AND TECHNOLOGY (IRJET) E-ISSN: 2395-0056
VOLUME: 06 ISSUE: 05 | MAY 2019 WWW.IRJET.NET P-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2147
and blade shaft
•To study the structural behavior of aero foil blade and
blade shaft at a rotational speed of 1000 RPM.
•Modal analysis of Blade.
II. PRINCIPLE OF AEROFOIL BLADE
Axial fan Impellers with Aero foil blades provide
uniform, high volume airflow with low power consumption
for optimum efficiency using the same aerodynamics that
create flight. Airfoil impellers have a round leading &
trailing edge, and profile cross section, that looks similar to
a teardrop. As air approaches the blade’s leading edge, the
stream splits and travels above and below the blade. Air is
deflected across the convex curve along the top of the
blade and along the concave curve on the bottom of the
blade, and flows downward over the trailing edge as it
leaves the blade.According to Bernoulli’s Principle, the
faster moving air across the top of the blade creates less
pressure than the slower moving air on the bottom of the
blade.
Figure 1 Aerofoil
This creates lift in an airplane wing or airflow in an
impeller. Aero foil impellers function just like a series of
small airplane wings attached to a hub, with one notable
exception. In axial fans, the airfoil’s twisted design ensures
that the incident angle between the airfoil and the airflow is
constant along the blade length, giving a uniform blade
loading for high efficiency, low noise fans.
A. Project Methodology
1. Identification of suitable blade and blade shaft
assembly
2. 3D modeling of Blade
3. Extraction of coordinates of aero foil profile
4. Importing coordinates in ANSYS
5. Complete modeling, meshing and trial run of blade
6. Blade shaft modeling, meshing and trial run in
ANSYS
7. Assembly of blade and blade shaft in ANSYS
8. Application of boundary conditions
9. Static analysis and post processing
10. Result evaluation and conclusion
III. MODELLING
A. Modeling Of Fan Blade.
Fan blade is created by 12 profiles of spline curves using
the keypoints as per the give calculations
Figure 2 Fan Blade
B. Modeling Of Blade Shaft
The given design of blade shaft has been first sketched in
NX software using sketch option and revolve command has
been used to model the blade shaft. Fillets and chamfers
were made at the required positions and at the center a
hole has been made as per the diagram
Figure 3 Modeling of Blade Shaft
C. Modeling Of Impeller Hub
using the ‘sketch’ option in the NX software and revolved
about an axis such that whole impeller hub has been
modelled. The required holes and bushes are made and
they are patterned to 16 numbers at an angle of 22.5
degrees.
Figure 4 Modeling of Impeller Hub
INTERNATIONAL RESEARCH JOURNAL OF ENGINEERING AND TECHNOLOGY (IRJET) E-ISSN: 2395-0056
VOLUME: 06 ISSUE: 05 | MAY 2019 WWW.IRJET.NET P-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2148
D. Final Assembly Of Axial Fan Rotor
Figure 5 Final Assembly of Axial Fan Rotor
The modelled blade has been made to assemble to the
impeller hub using ‘touch align’ and ‘Centre axis’ align
options. The same previous procedure was carried out for
patterning the blades. The blade is positioned at an angle of
52.1 degrees on the hub as per the given design.
IV. DESIGN AND ANALYSIS
A. FAN BLADE
Key points for each spline were found from NX model and
12 spline curves were imported in ANSYS software using
‘Read input from’ option.Then Lines were created using
key points and curves and splines were created using key
points. Areas were created by selecting the required
splines, lines and curves. From the areas created the
volume has been made by selecting the areas in sequential
order. The total number of volume created are 21. Fan
blade were sized as a uniform elements which is the first
step for meshing. Moderate number of elements were
created such that moderate meshing could be obtained.
Whole splines were sized by uniform numbers and lines
and arcs were also uniformly sized.
Figure 6 Meshing of Fan Blade
As per the elements created meshing of blade were done. A
moderate and uniform meshing were created as per the
requirement.
B. Blade Shaft
Figure 7 Blade Shaft
Blade shaft modelling process is similar to a modelling
of fan blade. Lines were created by join the nodes and areas
have been developed using the lines. Volume of shaft have
been created using the areas and the volume is being made
to create mesh. Blade shaft were sized as a uniform
elements which is the first step for meshing. Moderate
number of elements were created such that moderate
meshing could be obtained. As per the elements created
meshing of the blade shaft was done. A moderate and
uniform meshing was created as per the requirement. After
meshing had done the shaft has been rotated to get the
solid part and six holes in the shaft were marked as per the
requirement given in the design.
C. Assembly Of Blade And Blade Shaf
Figure 8 Assembly
V. STATIC ANALYSIS
A. Boundary Conditions Applied To Test Run The Blade
Constraints applied to the blade boss to arrest all the
degrees of freedom. Gravity applied along Z –direction
Real constants considered: (Aluminium)
INTERNATIONAL RESEARCH JOURNAL OF ENGINEERING AND TECHNOLOGY (IRJET) E-ISSN: 2395-0056
VOLUME: 06 ISSUE: 05 | MAY 2019 WWW.IRJET.NET P-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2149
Density 2.65 gm/cc
Young’s modulus: 0.69 e+05 N/mm2
Poission’s ratio: 0.3
Figure 9 Blade Von Mises stress
B. Boundary Conditions Applied To Test Run The Blade
Shaft
Constraints applied to the shaft edge to arrest all the
degrees of freedom. Gravity applied along Z –direction.
Real constants considered: (Steel)
Density 7.85 gm/cc
Young’s moduls: 2.1 e+05 N/mm2
Poission’s ratio: 0.3
Figure 10 Shaft Von Mises Stress
C. Boundary Conditions Applied To Run The Blade Shaft
Assembly
Constraints applied to the axial thrust bearing and radial
bearing to arrest the degrees of freedom. Gravity applied
along Z –direction. Balancing force at C.G (FBA)= 1495N
(along y direction)
Torsional force at C.G (FTA)= 1272.28N (along –z
direction).Reaction force at 281mm from blade edge=
1683.27N.
Real constants considered :
FOR MATERIAL 1 (BLADE)
Density 2.65 gm/cc
Young’s moduls : 0.69 e+05 N/mm2
Poission’s ratio : 0.3
FOR MATERIAL 2 (BLADE SHAFT)
Density 7.85 gm/cc
Young’s moduls : 2.1 e+05 N/mm2
Poission’s ratio : 0.3
Figure 11 Assembly Von Misses Stress
D. Deformed Shape Of Blade-Shaft Assembly
The figure shows the original shape of blade and blade
shaft assembly before applying boundary conditions and
the deformed shape of blade and blade shaft assembly
after applying the boundary conditions.
Figure 12 Deformed Assembly
VI. MODAL ANALYSIS
Modal analysis is the study of the dynamic
properties of structures under vibrational excitation.
The results can also be used to correlate with finite
element analysis normal mode solutions. In structural
engineering, modal analysis uses the overall mass and
stiffness of a structure to find the various periods at which
it will naturally resonate. These periods of vibration are
very important to note in earthquake engineering, as it is
imperative that a building's natural frequency does not
INTERNATIONAL RESEARCH JOURNAL OF ENGINEERING AND TECHNOLOGY (IRJET) E-ISSN: 2395-0056
VOLUME: 06 ISSUE: 05 | MAY 2019 WWW.IRJET.NET P-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2150
match the frequency of expected earthquakes in the region
in which the building is to be constructed. . Engineers tend
to learn from such examples (at least in the short term)
and more modern suspension bridges take account of the
potential influence of wind through the shape of the deck,
which might be designed in aerodynamic terms to pull the
deck down against the support of the structure rather than
allow it to lift.
A. Mode1 At 60 Hz Frequency
Figure 13 at Node 1
B. Mode 10 At 1025 Hz Frequency
Figure 14 at Node 10
VII. RESULTS
A. RESULTS FROM STATIC ANALYSIS
Table 1 von misses stress
From Static Analysis, Von Misses stress at blade and the
shaft are found and they lie under the safe zone. Also the
mass of blade is found as 10 kg and mass of blade shaft is
found as 7 kg in ANSYS which is very near exact given
Handbook values of BHEL. It is also found that stress
concentration is maximum in Blade Shaft at the places
where they are supported and are in contact with the
impeller hub and blade.
• Stresses acting on the Blade and the blade shaft were
determined using the Static analysis
• Stresses obtained through Finite element method is
compared with the Analytical calculation performed in the
handbook for this size of Fan blade assembly. The values of
both the analytical and finite element method are
approximately the same.
• Stress across the section of the aero foil blade decreases
from the section AA to MM.
• Stress variation across each section of the Aero foil Blade
were determined.
• In case of Blade, Stress is more at the section AA (blade
root), which is about 30 N/mm2 approximately
• Maximum Stress across the blade shaft is about 270
N/mm2 with the factor of safety 2.0.
• The maximum displacement of the Blade shaft assembly is
3 mm and it is located at the section MM (blade tip) of the
Blade.
Von Misses stress (N/mm2)
Section Handbook ANSYS
A-A 30.25 35.64
B-B 17.43 17.28
C-C 20.28 17.33
D-D 18.95 12.21
E-E 18.67 15.04
F-F 18.9 13.78
G-G 18.49 12.33
H-H 16.53 11.09
J-J 14.02 8.22
K-K 10.99 5.43
L-L 5.26 2.83
INTERNATIONAL RESEARCH JOURNAL OF ENGINEERING AND TECHNOLOGY (IRJET) E-ISSN: 2395-0056
VOLUME: 06 ISSUE: 05 | MAY 2019 WWW.IRJET.NET P-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2151
B. Comparison Of Stress
Von Mises stress Graph
The above graph shows the comparative results of Von
Mises stress as given by BHEL handbook and ANSYS
results at the blade
C. Results From Modal Analysis
Table 2: Mass participation
SI.NO freq(HZ)
Mass participation(kg)
X Y Z
1 60 4.42 1.81 0.00
2 76 2.62 6.20 0.00
3 121 0.07 0.03 0.00
4 169 3.64 1.06 0.00
5 324 0.21 0.68 0.01
6 393 0.49 0.93 0.00
7 541 2.05 3.28 0.00
8 646 0.78 0.00 0.01
9 721 0.40 0.17 0.03
10 1026 0.09 0.07 0.03
Table 3 Excitation Frequency Vs Natural Frequency
Excitation frequency Margin over natural
frequency
1X 17 252 %
2X 33 81 %
16X (blade pass) 267 21 %
• Blade shaft Assembly Natural frequency modes were
determined from the Finite Element Method.
• The Natural frequency modes were compared with the
Excitation Frequency at 1x, 2x and 16x (Blade pass
frequency) and they are found to be safe with the good
margin as shown in the Table
REFERENCES
[1] Beer, F.P and Johnson Jr. E.R, "Vector
Mechanics for Engineers, Dynamics & Statics", Third SI
Metric Edition, pp. 424-490, 2001.
[2] Ryder G.H, Strength of Materials, Macmillan
India Ltd., Third Edition, pp.85-113, 2002
[3] Rattan S.S., "Theory of Machines", Tata
McGraw-Hill Publishing Company Ltd., New Delhi,
1994.
[4] Rao J.S. and Dukkipati R.V., "Mechanism and
Machine Theory", Wiley-Eastern Limited, New Delhi,
pp.211-255, 1992.
[5] Spotts M.F., Shoup T.E "Design of Machine
Elements" Pearson Education, pp.302- 319, 2004.
[6] Frank L. Stasa - Applied Finite Element
Analysis for Engineers, CBS International Edition,
1985 SESHU
[7] Reddy J.N. - An Introduction to Finite Element
Method, McGraw Hill, International Edition, pp. 1-25,
60-82, 119-152, 1993
[8] Cook, Robert Devis etal, - Concepts and
Application of finite Element Analysis, Wiley John &
Sons, pp. 31-66, 190-245,1999
[9] www.bhelrpt.co.in
[10] https://en.wikipedia.org

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IRJET- Design and Analysis of Axial Fan Rotor Parts

  • 1. INTERNATIONAL RESEARCH JOURNAL OF ENGINEERING AND TECHNOLOGY (IRJET) E-ISSN: 2395-0056 VOLUME: 06 ISSUE: 05 | MAY 2019 WWW.IRJET.NET P-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2146 Design and Analysis of Axial Fan Rotor Parts Dr. S. Sambath1, P. Santhosh2, D. Naveen kumar3, M. Jagadesh4 1Professor, Dept of Mechanical Engineering, R.M.K. Engineering College, Chennai, India 2,3,4UG Student, Dept of Mechanical Engineering, R.M.K. Engineering College, Chennai, India ------------------------------------------------------------------------***------------------------------------------------------------------------- Abstract – An axial fan is a type of a compressor that increases the pressure of the air, flowing through it. The blades of the axial flow fans, force air to move parallel to the shaft about which the blades rotate. Aim of the present work is to design parts of axial fan rotor and to determine stresses acting in various section of blade, blade shaft of axial fan rotor by static analysis. Stresses obtained through finite element analysis are compared with the analytical calculation performed in the handbook for the size of fan blade assembly. The values of both the analytical and finite element method are approximately the same; another objective is to determine Stresses acting at various section of the aerofoil blade. Thereby, performing a modal analysis and to determine the Blade shaft assembly natural frequency modes from the finite element method. Then natural frequency modes are to be compared with the excitation frequency at 1x.2x and 16x (blade pass frequency). Design safe is checked based on the obtained results. I. INTRODUCTION An axial fan is a type of a compressor that increases the pressure of the air flowing through it. The blades of the axial flow fans force air to move parallel to the shaft about which the blades rotate. In other words, the flow is axially in and axially out, linearly, hence their name. The design priorities in an axial fan revolve around the design of the propeller that creates the pressure difference and hence the suction force that retains the flow across the fan. The main components that need to be studied in the designing of the propeller include the number of blades and the design of each blade. Their applications include propellers in aircraft, helicopters, hovercrafts, ships and hydrofoils. They are also used in wind tunnels and cooling towers. If the propeller is exercising propulsion, then efficiency is the only parameter of interest and other parameters like power required and flow rate are considered of no interest. In case the propeller is used as a fan, the parameters of interest include power, flow rate, pressure rise and efficiency. An axial fan consists of much fewer blades i.e., two to six, as compared to ducted fans. Axial fans operate at high specific speed i.e., high flow rate and low head and hence adding more blades will restrict the high flow rate required for its operation. Due to fewer blades, they are unable to impose their geometry on the flow, making the rotor geometry and the inlet and outlet velocity triangles meaningless. Also, the blades are made very long with varying blade sections along the radius. A. Parameters Of Fans The various parameters of fans are as follows • Volume • Differential pressure • Temperature • Density of the medium handled B. Fan Law • Flow α N.D3 • Pressure α N2.D2 • Power α N3.D5 Where, N – Speed of fan D – Diameter of fan C. Fields Of Application Axial-flow fans in thermal power stations are used as fresh-air (forced-draft), induced draft and pulverize air Fans (primary air Fans); in recent years they have also become more widespread in a flue-gas de- sulphurizing (FGD). Their use is not contingent on the fuel type employed (coal, oil, gas, peat), although fuel type is naturally a design determinant, specifically with induced draft units. Regarding the installation of Fans downstream of electrostatic precipitators, today’s flue gas desulphurizing plants support various circuit configurations and hence, different arrangement of induced draft and FGD Fans. In recent years, axial fans operating as “booster fans” on the wet-gas side downstream of the scrubber have gained particular importance. With these units, the choice of material, surface protection considerations and sealing towards then conveyed-medium circuitrequire particular attention. D. Objective Of The Product •To study the stresses acting on various sections of blade
  • 2. INTERNATIONAL RESEARCH JOURNAL OF ENGINEERING AND TECHNOLOGY (IRJET) E-ISSN: 2395-0056 VOLUME: 06 ISSUE: 05 | MAY 2019 WWW.IRJET.NET P-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2147 and blade shaft •To study the structural behavior of aero foil blade and blade shaft at a rotational speed of 1000 RPM. •Modal analysis of Blade. II. PRINCIPLE OF AEROFOIL BLADE Axial fan Impellers with Aero foil blades provide uniform, high volume airflow with low power consumption for optimum efficiency using the same aerodynamics that create flight. Airfoil impellers have a round leading & trailing edge, and profile cross section, that looks similar to a teardrop. As air approaches the blade’s leading edge, the stream splits and travels above and below the blade. Air is deflected across the convex curve along the top of the blade and along the concave curve on the bottom of the blade, and flows downward over the trailing edge as it leaves the blade.According to Bernoulli’s Principle, the faster moving air across the top of the blade creates less pressure than the slower moving air on the bottom of the blade. Figure 1 Aerofoil This creates lift in an airplane wing or airflow in an impeller. Aero foil impellers function just like a series of small airplane wings attached to a hub, with one notable exception. In axial fans, the airfoil’s twisted design ensures that the incident angle between the airfoil and the airflow is constant along the blade length, giving a uniform blade loading for high efficiency, low noise fans. A. Project Methodology 1. Identification of suitable blade and blade shaft assembly 2. 3D modeling of Blade 3. Extraction of coordinates of aero foil profile 4. Importing coordinates in ANSYS 5. Complete modeling, meshing and trial run of blade 6. Blade shaft modeling, meshing and trial run in ANSYS 7. Assembly of blade and blade shaft in ANSYS 8. Application of boundary conditions 9. Static analysis and post processing 10. Result evaluation and conclusion III. MODELLING A. Modeling Of Fan Blade. Fan blade is created by 12 profiles of spline curves using the keypoints as per the give calculations Figure 2 Fan Blade B. Modeling Of Blade Shaft The given design of blade shaft has been first sketched in NX software using sketch option and revolve command has been used to model the blade shaft. Fillets and chamfers were made at the required positions and at the center a hole has been made as per the diagram Figure 3 Modeling of Blade Shaft C. Modeling Of Impeller Hub using the ‘sketch’ option in the NX software and revolved about an axis such that whole impeller hub has been modelled. The required holes and bushes are made and they are patterned to 16 numbers at an angle of 22.5 degrees. Figure 4 Modeling of Impeller Hub
  • 3. INTERNATIONAL RESEARCH JOURNAL OF ENGINEERING AND TECHNOLOGY (IRJET) E-ISSN: 2395-0056 VOLUME: 06 ISSUE: 05 | MAY 2019 WWW.IRJET.NET P-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2148 D. Final Assembly Of Axial Fan Rotor Figure 5 Final Assembly of Axial Fan Rotor The modelled blade has been made to assemble to the impeller hub using ‘touch align’ and ‘Centre axis’ align options. The same previous procedure was carried out for patterning the blades. The blade is positioned at an angle of 52.1 degrees on the hub as per the given design. IV. DESIGN AND ANALYSIS A. FAN BLADE Key points for each spline were found from NX model and 12 spline curves were imported in ANSYS software using ‘Read input from’ option.Then Lines were created using key points and curves and splines were created using key points. Areas were created by selecting the required splines, lines and curves. From the areas created the volume has been made by selecting the areas in sequential order. The total number of volume created are 21. Fan blade were sized as a uniform elements which is the first step for meshing. Moderate number of elements were created such that moderate meshing could be obtained. Whole splines were sized by uniform numbers and lines and arcs were also uniformly sized. Figure 6 Meshing of Fan Blade As per the elements created meshing of blade were done. A moderate and uniform meshing were created as per the requirement. B. Blade Shaft Figure 7 Blade Shaft Blade shaft modelling process is similar to a modelling of fan blade. Lines were created by join the nodes and areas have been developed using the lines. Volume of shaft have been created using the areas and the volume is being made to create mesh. Blade shaft were sized as a uniform elements which is the first step for meshing. Moderate number of elements were created such that moderate meshing could be obtained. As per the elements created meshing of the blade shaft was done. A moderate and uniform meshing was created as per the requirement. After meshing had done the shaft has been rotated to get the solid part and six holes in the shaft were marked as per the requirement given in the design. C. Assembly Of Blade And Blade Shaf Figure 8 Assembly V. STATIC ANALYSIS A. Boundary Conditions Applied To Test Run The Blade Constraints applied to the blade boss to arrest all the degrees of freedom. Gravity applied along Z –direction Real constants considered: (Aluminium)
  • 4. INTERNATIONAL RESEARCH JOURNAL OF ENGINEERING AND TECHNOLOGY (IRJET) E-ISSN: 2395-0056 VOLUME: 06 ISSUE: 05 | MAY 2019 WWW.IRJET.NET P-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2149 Density 2.65 gm/cc Young’s modulus: 0.69 e+05 N/mm2 Poission’s ratio: 0.3 Figure 9 Blade Von Mises stress B. Boundary Conditions Applied To Test Run The Blade Shaft Constraints applied to the shaft edge to arrest all the degrees of freedom. Gravity applied along Z –direction. Real constants considered: (Steel) Density 7.85 gm/cc Young’s moduls: 2.1 e+05 N/mm2 Poission’s ratio: 0.3 Figure 10 Shaft Von Mises Stress C. Boundary Conditions Applied To Run The Blade Shaft Assembly Constraints applied to the axial thrust bearing and radial bearing to arrest the degrees of freedom. Gravity applied along Z –direction. Balancing force at C.G (FBA)= 1495N (along y direction) Torsional force at C.G (FTA)= 1272.28N (along –z direction).Reaction force at 281mm from blade edge= 1683.27N. Real constants considered : FOR MATERIAL 1 (BLADE) Density 2.65 gm/cc Young’s moduls : 0.69 e+05 N/mm2 Poission’s ratio : 0.3 FOR MATERIAL 2 (BLADE SHAFT) Density 7.85 gm/cc Young’s moduls : 2.1 e+05 N/mm2 Poission’s ratio : 0.3 Figure 11 Assembly Von Misses Stress D. Deformed Shape Of Blade-Shaft Assembly The figure shows the original shape of blade and blade shaft assembly before applying boundary conditions and the deformed shape of blade and blade shaft assembly after applying the boundary conditions. Figure 12 Deformed Assembly VI. MODAL ANALYSIS Modal analysis is the study of the dynamic properties of structures under vibrational excitation. The results can also be used to correlate with finite element analysis normal mode solutions. In structural engineering, modal analysis uses the overall mass and stiffness of a structure to find the various periods at which it will naturally resonate. These periods of vibration are very important to note in earthquake engineering, as it is imperative that a building's natural frequency does not
  • 5. INTERNATIONAL RESEARCH JOURNAL OF ENGINEERING AND TECHNOLOGY (IRJET) E-ISSN: 2395-0056 VOLUME: 06 ISSUE: 05 | MAY 2019 WWW.IRJET.NET P-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2150 match the frequency of expected earthquakes in the region in which the building is to be constructed. . Engineers tend to learn from such examples (at least in the short term) and more modern suspension bridges take account of the potential influence of wind through the shape of the deck, which might be designed in aerodynamic terms to pull the deck down against the support of the structure rather than allow it to lift. A. Mode1 At 60 Hz Frequency Figure 13 at Node 1 B. Mode 10 At 1025 Hz Frequency Figure 14 at Node 10 VII. RESULTS A. RESULTS FROM STATIC ANALYSIS Table 1 von misses stress From Static Analysis, Von Misses stress at blade and the shaft are found and they lie under the safe zone. Also the mass of blade is found as 10 kg and mass of blade shaft is found as 7 kg in ANSYS which is very near exact given Handbook values of BHEL. It is also found that stress concentration is maximum in Blade Shaft at the places where they are supported and are in contact with the impeller hub and blade. • Stresses acting on the Blade and the blade shaft were determined using the Static analysis • Stresses obtained through Finite element method is compared with the Analytical calculation performed in the handbook for this size of Fan blade assembly. The values of both the analytical and finite element method are approximately the same. • Stress across the section of the aero foil blade decreases from the section AA to MM. • Stress variation across each section of the Aero foil Blade were determined. • In case of Blade, Stress is more at the section AA (blade root), which is about 30 N/mm2 approximately • Maximum Stress across the blade shaft is about 270 N/mm2 with the factor of safety 2.0. • The maximum displacement of the Blade shaft assembly is 3 mm and it is located at the section MM (blade tip) of the Blade. Von Misses stress (N/mm2) Section Handbook ANSYS A-A 30.25 35.64 B-B 17.43 17.28 C-C 20.28 17.33 D-D 18.95 12.21 E-E 18.67 15.04 F-F 18.9 13.78 G-G 18.49 12.33 H-H 16.53 11.09 J-J 14.02 8.22 K-K 10.99 5.43 L-L 5.26 2.83
  • 6. INTERNATIONAL RESEARCH JOURNAL OF ENGINEERING AND TECHNOLOGY (IRJET) E-ISSN: 2395-0056 VOLUME: 06 ISSUE: 05 | MAY 2019 WWW.IRJET.NET P-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2151 B. Comparison Of Stress Von Mises stress Graph The above graph shows the comparative results of Von Mises stress as given by BHEL handbook and ANSYS results at the blade C. Results From Modal Analysis Table 2: Mass participation SI.NO freq(HZ) Mass participation(kg) X Y Z 1 60 4.42 1.81 0.00 2 76 2.62 6.20 0.00 3 121 0.07 0.03 0.00 4 169 3.64 1.06 0.00 5 324 0.21 0.68 0.01 6 393 0.49 0.93 0.00 7 541 2.05 3.28 0.00 8 646 0.78 0.00 0.01 9 721 0.40 0.17 0.03 10 1026 0.09 0.07 0.03 Table 3 Excitation Frequency Vs Natural Frequency Excitation frequency Margin over natural frequency 1X 17 252 % 2X 33 81 % 16X (blade pass) 267 21 % • Blade shaft Assembly Natural frequency modes were determined from the Finite Element Method. • The Natural frequency modes were compared with the Excitation Frequency at 1x, 2x and 16x (Blade pass frequency) and they are found to be safe with the good margin as shown in the Table REFERENCES [1] Beer, F.P and Johnson Jr. E.R, "Vector Mechanics for Engineers, Dynamics & Statics", Third SI Metric Edition, pp. 424-490, 2001. [2] Ryder G.H, Strength of Materials, Macmillan India Ltd., Third Edition, pp.85-113, 2002 [3] Rattan S.S., "Theory of Machines", Tata McGraw-Hill Publishing Company Ltd., New Delhi, 1994. [4] Rao J.S. and Dukkipati R.V., "Mechanism and Machine Theory", Wiley-Eastern Limited, New Delhi, pp.211-255, 1992. [5] Spotts M.F., Shoup T.E "Design of Machine Elements" Pearson Education, pp.302- 319, 2004. [6] Frank L. Stasa - Applied Finite Element Analysis for Engineers, CBS International Edition, 1985 SESHU [7] Reddy J.N. - An Introduction to Finite Element Method, McGraw Hill, International Edition, pp. 1-25, 60-82, 119-152, 1993 [8] Cook, Robert Devis etal, - Concepts and Application of finite Element Analysis, Wiley John & Sons, pp. 31-66, 190-245,1999 [9] www.bhelrpt.co.in [10] https://en.wikipedia.org