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Deulgaonkar. 2019. Int. J. Vehicle Structures & Systems, 11(1), 69 -73
International Journal of
Vehicle Structures & Systems
Available online at www.maftree.org/eja
ISSN: 0975-3060 (Print), 0975-3540 (Online)
doi: 10.4273/ijvss.11.1.13
© 2019. MechAero Foundation for Technical Research & Education Excellence
69
Finite Element Analysis of Chassis Integrated Structure for Tractor Trolley in
Agricultural Applications
Vikas Radhakrishna Deulgaonkar
MarathwadaMitraMandal’s College of Engg., Karvenagar, Maharashtra, India
Email: vikasdeulgaonkar@gmail.com.
ABSTRACT:
This paper deals with the design evaluation of chassis integrated structure intended to carry tractor trolleys. This
structure is either bolted along with tractor trailer chassis or attached to the trolley using special attachments. Such
structure is located in between the trolley chassis and tractor trolley. The role of this structure is to provide a support to
the trolley during transportation in agricultural terrains. This structure transmits and upholds the load variations
during tractor travel in agricultural terrains. Present work deals with design evaluation of one such structure. In this
work, the structure under consideration is designed to house and support one axle semi-trailer trolley. Locations of
attachment of the structure to the chassis or trolley depend upon the weight and size restrictions mentioned in Indian
Standards. Major design considerations for the structure include height of the semi-trailer trolley, nature of load or
cargo placed inside the trolley, restrictions on axle load and tractor geometry parameters as departure angle & ground
clearance. In order to evaluate structure characteristics of stress and deflection computer simulation is carried for the
road-load conditions. Road profiles for structure simulation and analysis include typical Indian agricultural terrains
comprising of black cotton soil and soil lumps.
KEYWORDS:
Semi-trailer; Tractor; Levelled base; Finite element analysis
CITATION:
V.R. Deulgaonkar. 2019. Finite Element Analysis of Chassis Integrated Structure for Tractor Trolley in Agricultural
Applications, Int. J. Vehicle Structures & Systems, 11(1), 69-73. doi:10.4273/ijvss.11.1.13.
1. Introduction
Transportation is of paramount importance in a country’s
overall progress and growth. It is transportation which
satisfies different requirements of a nation as raw
material supplies, finished or final products delivery,
supplying aids in areas suffered from natural calamities.
Air, water and land are the traditional modes of
transport. Road or non-guided ground transport is the
most reliable and efficient medium as compared with air
and water modes due to its less dependency on the
surrounding environments. In a nation like India, where
agriculture is the occupation of 75% of population,
transportation is of great significance in agricultural
sector and hence in development of economy. In old age
agricultural activities like farm cultivation, supplies of
farm requirements and deliveries of final crops to
markets or industries were carried out with the help of
animal-drawn vehicles prominently called bullock-carts.
Land transport is the major mode of transport for all
agricultural and allied activities. With the advancements
in automobile sector, tractors have replaced traditional
farm cultivation equipment.
Tractors with specific attachments play a major role
in cultivation as well as in allied transport activities
apparently in farm transports. Tractor is a versatile
vehicle that satisfies needs of farmers ranging from farm
cultivation to delivery of the harvest or final crop to
market or industry as achieved with the help of specific
attachments. Its contribution has increased agricultural
productivity with reduction in numerous bottle-necks of
farmers on all major transportation fronts. For vehicles
employed in agricultural activities, the force needed to
start, accelerate, turn or stop a vehicle depends on the
frictional resistance between the tire and agricultural
terrain and also on the soil quality. These forces are
governed by co-efficient of friction generated due to tire-
road interaction. However in hilly or sloppy terrains the
tire-road contact is governed by angle of repose in
addition to friction co-efficient. To adapt the varying soil
nature in different regions the tires of tractor are
provided with a wider base.
During travel on untarred village roads, the stability
of combination of agricultural tractor fitted with semi-
trailer depends on wheels and is further affected by load
distribution on the semitrailer, height of load placed on
the semi-trailer, shape and length of drawbar and semi-
trailer dimensions. For agricultural operation and allied
transportation activities, tractors need different design
stipulations or sometimes a new design. Stability of
tractors in agricultural terrains and on untarred roads is
affected by strength and deformation characteristics of
the road type and road profile, overall height of the
combination of trailer and the transport commodity
placed in the semi-trailer. For transport semi-trailers in
which tipping action is mandatory, the stability of the
tractor is predominantly governed by the tipping angles.
Indian standards limit tipping angle for tractors between
Deulgaonkar. 2019. Int. J. Vehicle Structures & Systems, 11(2), 69-73
70
42 to 50 degrees [1-2]. Tractor stability is influenced by
levelled bases and road surfaces. For road surface with
large unevenness, the tire-road co-efficient of friction
(i.e. ratio of traction force to load) cannot be guaranteed
and there is possibility of slip (less friction) or total
vehicle immobilization (high friction).
In order to satisfy the need of providing wireless
communications, monotonous data collection, video
coverage of experimentation site and other similar
applications concept of unmanned vehicle mobile
instrumentation platform were developed. Unmanned
vehicle systems facilitate less or no human intervention
while entering into dangerous environments. Unmanned
vehicles are employed in hazardous environments to
collect experimental data and even in war-head
conditions. Study of levelled bases was further extended
by Deulgaonkar [3]. In which they designed and
developed a hydraulically levelled platform for 8ď‚´8
Tatra vehicles. Such platforms are utilized to provide a
levelled base to the shelters that provide a closed
environment to the sophisticated equipment, defence
cargo and intelligent tracking systems used in war-head
situations. The evaluation of the designed levelled base
is done through finite element analysis and experimental
strain measurement process. Experimental strain
measurement is carried for variable speed and load
conditions. This work is further extended by
Deulgaonkar [4]. In which they developed a concept of
gross section modulus for calculation of the stress and
deflection values in the levelled base for different load
conditions during vehicle operation with the aid of
classical calculation method. They further devised a
theoretical process for the evaluation of stress by using
elementary shear force and bending moment diagrams.
Theoretical calculations of section properties as
centroidal distance, moment of inertia, co-ordinates of
centroid of combination of constituents of levelled base
are presented by Deulgaonkar et al [5].
Strain measurement for different vehicle speeds i.e.
dynamic vehicle situations of an imitable platform is
discussed by Deulgaonkar et al [6]. They proposed and
validated a platform configuration for defence and
commercial vehicles that led to significant improvements
in stability and overall performance of shelter mounted
vehicles. Height of the shelter is a major design attribute
contributing to the overall magnitude of bending
moment acting on the levelled bases. During
transportation on rough roads and in cross country
terrains varying magnitude of bending moment affects
the lateral stability of the vehicle especially during
turning. Levelled bases provide a significant amount of
stability to the vehicle during such situations. Major
design considerations for platform development are
overall height and width of the vehicle, approach and
departure angles [7-8].
2. Levelled base in agricultural transport
Indian Standard 9821 describes the terms needed for
farm transportation. Agricultural trailer is rectangular
boxed structure made of structural steel with one side
open to place the agricultural produce and commodities
necessary for production inputs. Trailers are classified
broadly into four different types; balanced trailer, fixed
platform trailer, semi-trailer and tipping platform trailer.
Trailer dimensions include ground clearance, wheel base
and wheel track. Loads of the trailers are described
through axle load, gross load, payload and unladen mass.
Dimensions of the balanced trailer are shown in Fig. 1.
The semitrailer platform mounted on chassis includes
two outer longitudinal members which are in a plane
parallel to vehicle chassis and variable number of lateral
or cross members are attached to form a ladder frame.
This combination is directly integrated with the vehicle
chassis using suitable number of U-bolts. Number of
through U-bolts depends upon the clamping force
needed to keep in the tact the semi-trailer and chassis
assembly. Analysis of channel or C-sections for bending
strength, load carrying capacity, manufacturability and
ease of attachment of components makes it suitable for
use in composition of the structure constituents [22].
Fig. 1: Dimensions of balanced trailer
Dimensions of the channel section are selected from
Indian Standard (IS) 808. Outer longitudinal member
dimensions are rated as 125ď‚´75ď‚´5mm and those of
lateral members are chosen as 150ď‚´100ď‚´8mm. To
withstand the unevenness of vertical load arising during
vehicle travel in agricultural and village road terrains,
the lateral member dimensions are modified. A taper is
provided on lower flange of cross member from outer
longitudinal member to chassis. Theoretical design steps
for the platform subjected to intense load as decision
regarding material suitability, cross-section suitability
for the individual components, evaluation of section
properties of all components of the platform, calculation
of gross section modulus of combined sections,
elementary shear force and bending moment evaluation
of static load on the platform, evaluation of static and
dynamic stress values are discussed by Deulgaonkar et al
[9]. The design constraints and their limiting dimensions
are enlisted in Table 1. The magnitude of load to be
applied on the finite element model of the platform-
trolley combination is decided with the aid of Indian
Standard for agricultural tractor-trailer (IS: 8213-2000)
third revision.
The limiting dimensions of the platform trolley as
per IS 8213-2000 are 5000ď‚´2500 mm2
for 5 tonne load
carrying capacity of the agricultural tractor, with an
average load of 0.004 N/mm2
. Experimental and finite
element analysis outcomes of a steel prototype with
Deulgaonkar. 2019. Int. J. Vehicle Structures & Systems, 11(2), 69-73
71
dimensions 1500ď‚´1000mm2
are discussed by
Deulgaonkar et al [10], same dimensions of prototype
are employed to avoid the experimentation phase.
Further the average proportionate load for the reduced
dimensions of prototype is 6000N based on the same
0.004 N/mm2
load carrying capacity.
Table 1: Design constraints and limiting dimensions
Parameter Dimension Remark
Trailer width Upto 2500mm --
Trailer length Upto 5000mm Trailer capacity 5 tonnes
Trailer length Upto 6700mm
Trailer capacity more than
5 tonnes
Trailer height
(Tires inflated)
1500mm
Distance between ground
and lowest portion of the
trailer
Trailer height
(Tires inflated)
2200mm
Distance between ground
and topmost portion of the
trailer
Front overhang 800mm Balanced trailer
Ground clearance 300mm --
Tipping angle 42ď‚° to 50ď‚° Tipping type trailer
Wheel track 1500 to 1700mm --
3. Computer aided modelling of trailer
Computer simulation of the trailer and integrated
platform is carried to understand and estimate the
behavior of the platform-trolley combination under load.
As platform-trolley is presumed to be a welded structure
and expected to behave as a single entity when subjected
to actual load situations, it needs to be modelled as one
single entity. Dimensional considerations of the
platform-trolley combination decide the type of
computer modelling technique to be employed. The
computer aided model, dimensional and other details of
the platform-trolley combination are shown in Fig. 2.
Dimensional details of the platform-trolley combination
are depicted in Fig. 3.
Fig. 2: Details of chassis mounted platform and trolley
Present platform-trolley combination is a structure
whose length is dominant over the individual member
thickness and therefore surface modelling technique is
employed for preparation of computer model of the
platform-trolley combination. The software employed
for simulation is CATIA V5 R19 considering its surface
modelling capabilities. With the limiting dimensions and
design constraints mentioned in Table 1, a prototype of
the platform-trolley combination is made. This computer
model is further verified for interconnection between
platform surfaces and coincidence of edges at corners.
This model is saved in IGES (Initial Graphics Exchange
Specifications) format in order to export the same in
analysis software environment for finite element
modelling.
Fig. 3: Dimensional details of prototype of platform-trolley
combination
In next phase of research, finite element analysis of
the platform-trolley combination is carried. To simulate
the practical or actual load situations to which the
platform-trolley combination is subjected, concise
understanding of the loading environment through which
the platform-trolley combination has to undergo is the
fundamental prerequisite [11-14]. Other vital
considerations for platform-trolley simulation are
material and its physical properties, attachment of
platform trolley-combination to vehicle chassis which
decides the constraints and further boundary conditions
for finite element analysis. Every finite element analysis
process possesses three fundamental steps viz. pre-
processing or modelling, analysis and post-processing.
During pre-processing phase of platform-trolley
combination, geometry of combination along with loads,
constraints and mechanical properties are formulated.
This includes surface model of the preparation of the
platform-trolley combination, meshing of the same and
application of loads and constraints. Present platform-
trolley combination is structural welded and bolted steel
structure. Element selection being crucial step during
finite element analysis is given important concern.
Present structure is a combination length-width
dimensions in which length is dominant over individual
thickness that corresponds to plane stress situation in
finite element terms. Shell element which resembles
plane stress situation is selected for meshing [15]. A
quad-tri element shape combination is used while
meshing complex regions. Major elements for meshing
comprise of quadrilateral shape. Steel material properties
as Young’s Modulus: 210GPa, Poisson’s ratio as 0.3 and
density of 7850kg/m3
are assigned to the elements [18].
Node to node and element to element connectivity
are ensured for proper load transfer in all regions of the
platform-trolley combination. Meshed platform-trolley
model is further verified for possible meshing errors
such as aspect ratio, warpage, skewness interior angle,
and taper before proceeding for application of boundary
Deulgaonkar. 2019. Int. J. Vehicle Structures & Systems, 11(2), 69-73
72
conditions. The meshed model is shown in Fig. 4. A
uniformly distributed load of 6000N on the prototype
combination is applied and nodes on the bottom surface
of chassis flange are applied constraints. All the degrees
of freedom of the bottom nodes are arrested based on the
presumption that chassis is rigid [19]. Intense loads in
downward direction are applied over the nodes of
platform trolley-combination. The meshed model of the
structure along with these boundary conditions is shown
in Fig. 5.
Fig. 4: Meshed model of platform-trolley combination
Fig. 5: Loads and boundary conditions applied to platform-trolley
The second step in the finite element analysis
procedure is to solve (analysis) phase. In this stage
matrix (stiffness, force & displacement) equations are
generated for the applied set of boundary conditions i.e.
for loads and constraints at each element and these are
further assembled for the entire elements of the platform-
trolley combination. These equations are solved for
deflection and are utilized to evaluate stress, strain and
reaction values at critical locations. This process is done
with the aid of solver and all the calculations are done at
the background of computer [21]. Final post-processing
step that includes interpretation of results is very crucial
to determine the critically stressed locations on the
platform-trolley combination structure. From the stress
and displacement plots shown in Fig. 6 and Fig.7, the
critical stress areas are identified. Although load is
uniformly distributed over the entire trolley surface
intact with platform, major stress portions include mid,
front and rear at the centroidal locations. Present results
are converged at the element dimension of 20mm [20].
Convergence of displacement results is observed at
20mm which is observed after carrying analysis for
element dimensions ranging from 5mm to 15mm in steps
of 5mm each.
Fig. 6: Stress plot for platform-trolley combination
Fig. 7: Displacement plot for platform-trolley combination
4. Conclusions
The commencement of simulation work of the platform-
trolley design evaluation includes consideration for
factors as agricultural terrain and untarred road profiles,
unevenness in load arising from tire-road interaction
during agricultural and related transport operations,
effect of heap (commodity) height placed in the trolley
and magnitude of bending moment generated about the
centre of gravity of the tractor-trolley combination in
addition to design parameters that include overall height,
bump clearance, cornering effect, ground clearance etc.
From the stress pattern observed, it is inferred that there
is uniform distribution of load over the entire surface of
the trolley which is attributed to the design of supporting
platform along with trolley.
Maximum magnitude of Von-Mises stress is
observed at the mid portion of the trolley-platform
combination and its magnitude is 10.325MPa. This
magnitude is very low when extrapolated with the true
scale loading of 5 tonnes. Maximum displacement is
observed in front and rear overhang portions of the
structure. This is attributed to the locations of cross-
members on the platform beneath trolley. The magnitude
observed is 0.15mm at both front and rear portions. The
stress and deflection at other locations are well within
Deulgaonkar. 2019. Int. J. Vehicle Structures & Systems, 11(2), 69-73
73
limits of the material yield strength. With the aid of these
finite element analysis results, the behaviour of trolley-
platform combination is devised and understood. As the
same combination is used for agricultural transportation
it is obvious that such trolleys are always overloaded.
Present research provides a levelled base for the
agricultural produce to be transported with extravagant
load carrying capacity and to withstand rough usage.
REFERENCES:
[1] V.R. Deulgaonkar and A.G. Matani. 2014. Development
and validation of chassis mounted platform design for
heavy vehicles, Int. J. Vehicle Structures & Systems,
6(3), 51-57. http://dx.doi.org/10.4273/ijvss.6.3.02.
[2] V.R. Deulgaonkar, A.G. Matani and S.P. Kallurkar.
2015. Design evaluation of chassis mounted platform for
off-road wheeled heavy vehicles, Int. J. Vehicle
Structures & Systems, 7(3), 55-59.
http://dx.doi.org/10.4273/ijvss.7.3.03.
[3] V.R. Deulgaonkar. 2016. Vibration measurement and
spectral analysis of chassis frame mounted structure for
off-road wheeled heavy vehicles, Int. J. Vehicle
Structures & Systems, 8(1), 22-27.
http://dx.doi.org/10.4273/ijvss.8.1.05.
[4] V.R. Deulgaonkar. 2016. Gradient load evaluation of
chassis frame mounted specialised structure designed for
heavy off-road vehicles, Int. J. Vehicle Structures &
Systems, 8(2), 86-90. http://dx.doi.org/10.4273/ijvss.
8.2.05
[5] V.R. Deulgaonkar, S.P. Kallurkar and A.G. Matani.
2012. Mathematical analysis of section properties of a
platform integrated with vehicle chassis, Int. J. Scientific
and Research Publications, 2(1), 87-90.
[6] V.R. Deulgaonkar and A.G. Matani. 2013. Experimental
investigation of inimitable platform on heavy vehicle
chassis, Int. J. Automobile Engg. Research & Develop.,
3, 7-12.
[7] V.R. Deulgaonkar and A.G. Matani. 2013. Strain
characteristics in a unique platform integrated with truck
chassis under intense load, Int. J. Mech. and Production
Engg. Research and Develop., 3, 83-88.
[8] V.R. Deulgaonkar and A.G. Matani. 2014. Design,
manufacturing and design validation of chassis mounted
specialized structure for 8x8 all-terrain vehicles, Int.
Conf. Advances in Design and Manuf., NIT Trichy.
[9] V.R. Deulgaonkar, S.P Kallurkar, A.G. Mataniand D.K.
Chavan. 2012. Noise and vibrations mechanics: Review
and diagnostics, Int. J. Applied Engg. Research,7(1), 71-
78.
[10] V.R. Deulgaonkar, A.G. Matani and S.P. Kallurkar.
2015. Stress analysis of chassis mounted structure for
heavy 0vehicles, Int. Conf. Advances in Mech. Engg. Vol.
1 Thermal Sci., 1-5.
[11] A.G. Matani and V.R. Deulgaonkar. 2013. Mechanics of
strain propagation in members of a platform structure
devised for intense load, Int. J. Mech. Engg., 2(4), 29-34.
[12] A.G. Matani, V.R. Deulgaonkar and S.P. Kallurkar.
2013. An investigation of structural integrity of chassis
mounted platform subjected to concentrated load during
braking, Int. J. Mech. Engg. and Tech., 4(1), 115-122.
[13] V.R. Deulgaonkar, A.G. Matani and S.P.
Kallurkar.2012. Advanced mathematical analysis of
chassis integrated platform designed for unconventional
loading by using simple technique for static load, Int. J.
Engg. and Innovative Tech., 1(3), 26-28.
[14] V.R. Deulgaonkar, A.G. Matani and S.P.
Kallurkar.2011. Review and diagnostics of noise and
vibrations in automobiles, Int. J. Modern Engg.
Research, 1(2), 242-246.
[15] V.R. Deulgaonkar. 2010. Finite element analysis of
vehicle mounted hydraulically levelled platform, Int. J.
Manuf. Sci. and Engg., 1(2), 25-33.
[16] S.P. Kallurkar, A.G. Matani and V.R. Deulgaonkar.
2011. Noise and vibration in automobiles: Review and
diagnostics, Int. J. Mech. and Production Engg. Research
and Develop. 1(2), 76-88.
[17] V.R. Deulgaonkar, A.G. Matani and S.P. Kallurkar.
2015. Experimental strain measurement of chassis
mounted structure, Proc. XVII Int. Conf. Advances in
Mech. Engg., IIT Delhi.
[18] V.R. Deulgaonkar and A.G. Matani. 2015. Development
of chassis mounted structure: Finite element approach,
Indian National Conf. Applied Mechanics, IIT Delhi.
[19] V.R. Deulgaonkar, S.P. Kallurkar and A.G. Matani.
2013. An investigation and mathematical analysis of
chassis mounted platform subjected to concentrated load
during gradient travel, Int. Conf. Advances in Mech.
Engg., College of Engg., Pune.
[20] V.R. Deulgaonkar and A.G. Matani. 2016. Strength
estimation of chassis integrated structure for intense load
by analytical method, IEE Int. Conf. Engg. and Tech.,
Karpagam College of Engg., Tamilnadu.
[21] V.R. Deulgaonkar. 2016. Finite element analysis of
chassis integrated structure for transport utility vehicles,
Proc. VIth
Int. Conf. Production and Industrial Engg.,
NIT Jalandhar, India.
[22] V.R. Deulgaonkar. 2018. Finite element analysis and
experimental simulation of chassis mounted platform for
off-road wheeled combat and transport utility vehicles,
Int. J. Vehicle Structures and Systems, 10(1), 66-72.
http://dx.doi.org/10.4273/ijvss.10.1.14.

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Finite element analysis of chassis integrated structure for tractor trolley in agricultural applications ijvss 2019

  • 1. Deulgaonkar. 2019. Int. J. Vehicle Structures & Systems, 11(1), 69 -73 International Journal of Vehicle Structures & Systems Available online at www.maftree.org/eja ISSN: 0975-3060 (Print), 0975-3540 (Online) doi: 10.4273/ijvss.11.1.13 © 2019. MechAero Foundation for Technical Research & Education Excellence 69 Finite Element Analysis of Chassis Integrated Structure for Tractor Trolley in Agricultural Applications Vikas Radhakrishna Deulgaonkar MarathwadaMitraMandal’s College of Engg., Karvenagar, Maharashtra, India Email: vikasdeulgaonkar@gmail.com. ABSTRACT: This paper deals with the design evaluation of chassis integrated structure intended to carry tractor trolleys. This structure is either bolted along with tractor trailer chassis or attached to the trolley using special attachments. Such structure is located in between the trolley chassis and tractor trolley. The role of this structure is to provide a support to the trolley during transportation in agricultural terrains. This structure transmits and upholds the load variations during tractor travel in agricultural terrains. Present work deals with design evaluation of one such structure. In this work, the structure under consideration is designed to house and support one axle semi-trailer trolley. Locations of attachment of the structure to the chassis or trolley depend upon the weight and size restrictions mentioned in Indian Standards. Major design considerations for the structure include height of the semi-trailer trolley, nature of load or cargo placed inside the trolley, restrictions on axle load and tractor geometry parameters as departure angle & ground clearance. In order to evaluate structure characteristics of stress and deflection computer simulation is carried for the road-load conditions. Road profiles for structure simulation and analysis include typical Indian agricultural terrains comprising of black cotton soil and soil lumps. KEYWORDS: Semi-trailer; Tractor; Levelled base; Finite element analysis CITATION: V.R. Deulgaonkar. 2019. Finite Element Analysis of Chassis Integrated Structure for Tractor Trolley in Agricultural Applications, Int. J. Vehicle Structures & Systems, 11(1), 69-73. doi:10.4273/ijvss.11.1.13. 1. Introduction Transportation is of paramount importance in a country’s overall progress and growth. It is transportation which satisfies different requirements of a nation as raw material supplies, finished or final products delivery, supplying aids in areas suffered from natural calamities. Air, water and land are the traditional modes of transport. Road or non-guided ground transport is the most reliable and efficient medium as compared with air and water modes due to its less dependency on the surrounding environments. In a nation like India, where agriculture is the occupation of 75% of population, transportation is of great significance in agricultural sector and hence in development of economy. In old age agricultural activities like farm cultivation, supplies of farm requirements and deliveries of final crops to markets or industries were carried out with the help of animal-drawn vehicles prominently called bullock-carts. Land transport is the major mode of transport for all agricultural and allied activities. With the advancements in automobile sector, tractors have replaced traditional farm cultivation equipment. Tractors with specific attachments play a major role in cultivation as well as in allied transport activities apparently in farm transports. Tractor is a versatile vehicle that satisfies needs of farmers ranging from farm cultivation to delivery of the harvest or final crop to market or industry as achieved with the help of specific attachments. Its contribution has increased agricultural productivity with reduction in numerous bottle-necks of farmers on all major transportation fronts. For vehicles employed in agricultural activities, the force needed to start, accelerate, turn or stop a vehicle depends on the frictional resistance between the tire and agricultural terrain and also on the soil quality. These forces are governed by co-efficient of friction generated due to tire- road interaction. However in hilly or sloppy terrains the tire-road contact is governed by angle of repose in addition to friction co-efficient. To adapt the varying soil nature in different regions the tires of tractor are provided with a wider base. During travel on untarred village roads, the stability of combination of agricultural tractor fitted with semi- trailer depends on wheels and is further affected by load distribution on the semitrailer, height of load placed on the semi-trailer, shape and length of drawbar and semi- trailer dimensions. For agricultural operation and allied transportation activities, tractors need different design stipulations or sometimes a new design. Stability of tractors in agricultural terrains and on untarred roads is affected by strength and deformation characteristics of the road type and road profile, overall height of the combination of trailer and the transport commodity placed in the semi-trailer. For transport semi-trailers in which tipping action is mandatory, the stability of the tractor is predominantly governed by the tipping angles. Indian standards limit tipping angle for tractors between
  • 2. Deulgaonkar. 2019. Int. J. Vehicle Structures & Systems, 11(2), 69-73 70 42 to 50 degrees [1-2]. Tractor stability is influenced by levelled bases and road surfaces. For road surface with large unevenness, the tire-road co-efficient of friction (i.e. ratio of traction force to load) cannot be guaranteed and there is possibility of slip (less friction) or total vehicle immobilization (high friction). In order to satisfy the need of providing wireless communications, monotonous data collection, video coverage of experimentation site and other similar applications concept of unmanned vehicle mobile instrumentation platform were developed. Unmanned vehicle systems facilitate less or no human intervention while entering into dangerous environments. Unmanned vehicles are employed in hazardous environments to collect experimental data and even in war-head conditions. Study of levelled bases was further extended by Deulgaonkar [3]. In which they designed and developed a hydraulically levelled platform for 8ď‚´8 Tatra vehicles. Such platforms are utilized to provide a levelled base to the shelters that provide a closed environment to the sophisticated equipment, defence cargo and intelligent tracking systems used in war-head situations. The evaluation of the designed levelled base is done through finite element analysis and experimental strain measurement process. Experimental strain measurement is carried for variable speed and load conditions. This work is further extended by Deulgaonkar [4]. In which they developed a concept of gross section modulus for calculation of the stress and deflection values in the levelled base for different load conditions during vehicle operation with the aid of classical calculation method. They further devised a theoretical process for the evaluation of stress by using elementary shear force and bending moment diagrams. Theoretical calculations of section properties as centroidal distance, moment of inertia, co-ordinates of centroid of combination of constituents of levelled base are presented by Deulgaonkar et al [5]. Strain measurement for different vehicle speeds i.e. dynamic vehicle situations of an imitable platform is discussed by Deulgaonkar et al [6]. They proposed and validated a platform configuration for defence and commercial vehicles that led to significant improvements in stability and overall performance of shelter mounted vehicles. Height of the shelter is a major design attribute contributing to the overall magnitude of bending moment acting on the levelled bases. During transportation on rough roads and in cross country terrains varying magnitude of bending moment affects the lateral stability of the vehicle especially during turning. Levelled bases provide a significant amount of stability to the vehicle during such situations. Major design considerations for platform development are overall height and width of the vehicle, approach and departure angles [7-8]. 2. Levelled base in agricultural transport Indian Standard 9821 describes the terms needed for farm transportation. Agricultural trailer is rectangular boxed structure made of structural steel with one side open to place the agricultural produce and commodities necessary for production inputs. Trailers are classified broadly into four different types; balanced trailer, fixed platform trailer, semi-trailer and tipping platform trailer. Trailer dimensions include ground clearance, wheel base and wheel track. Loads of the trailers are described through axle load, gross load, payload and unladen mass. Dimensions of the balanced trailer are shown in Fig. 1. The semitrailer platform mounted on chassis includes two outer longitudinal members which are in a plane parallel to vehicle chassis and variable number of lateral or cross members are attached to form a ladder frame. This combination is directly integrated with the vehicle chassis using suitable number of U-bolts. Number of through U-bolts depends upon the clamping force needed to keep in the tact the semi-trailer and chassis assembly. Analysis of channel or C-sections for bending strength, load carrying capacity, manufacturability and ease of attachment of components makes it suitable for use in composition of the structure constituents [22]. Fig. 1: Dimensions of balanced trailer Dimensions of the channel section are selected from Indian Standard (IS) 808. Outer longitudinal member dimensions are rated as 125ď‚´75ď‚´5mm and those of lateral members are chosen as 150ď‚´100ď‚´8mm. To withstand the unevenness of vertical load arising during vehicle travel in agricultural and village road terrains, the lateral member dimensions are modified. A taper is provided on lower flange of cross member from outer longitudinal member to chassis. Theoretical design steps for the platform subjected to intense load as decision regarding material suitability, cross-section suitability for the individual components, evaluation of section properties of all components of the platform, calculation of gross section modulus of combined sections, elementary shear force and bending moment evaluation of static load on the platform, evaluation of static and dynamic stress values are discussed by Deulgaonkar et al [9]. The design constraints and their limiting dimensions are enlisted in Table 1. The magnitude of load to be applied on the finite element model of the platform- trolley combination is decided with the aid of Indian Standard for agricultural tractor-trailer (IS: 8213-2000) third revision. The limiting dimensions of the platform trolley as per IS 8213-2000 are 5000ď‚´2500 mm2 for 5 tonne load carrying capacity of the agricultural tractor, with an average load of 0.004 N/mm2 . Experimental and finite element analysis outcomes of a steel prototype with
  • 3. Deulgaonkar. 2019. Int. J. Vehicle Structures & Systems, 11(2), 69-73 71 dimensions 1500ď‚´1000mm2 are discussed by Deulgaonkar et al [10], same dimensions of prototype are employed to avoid the experimentation phase. Further the average proportionate load for the reduced dimensions of prototype is 6000N based on the same 0.004 N/mm2 load carrying capacity. Table 1: Design constraints and limiting dimensions Parameter Dimension Remark Trailer width Upto 2500mm -- Trailer length Upto 5000mm Trailer capacity 5 tonnes Trailer length Upto 6700mm Trailer capacity more than 5 tonnes Trailer height (Tires inflated) 1500mm Distance between ground and lowest portion of the trailer Trailer height (Tires inflated) 2200mm Distance between ground and topmost portion of the trailer Front overhang 800mm Balanced trailer Ground clearance 300mm -- Tipping angle 42ď‚° to 50ď‚° Tipping type trailer Wheel track 1500 to 1700mm -- 3. Computer aided modelling of trailer Computer simulation of the trailer and integrated platform is carried to understand and estimate the behavior of the platform-trolley combination under load. As platform-trolley is presumed to be a welded structure and expected to behave as a single entity when subjected to actual load situations, it needs to be modelled as one single entity. Dimensional considerations of the platform-trolley combination decide the type of computer modelling technique to be employed. The computer aided model, dimensional and other details of the platform-trolley combination are shown in Fig. 2. Dimensional details of the platform-trolley combination are depicted in Fig. 3. Fig. 2: Details of chassis mounted platform and trolley Present platform-trolley combination is a structure whose length is dominant over the individual member thickness and therefore surface modelling technique is employed for preparation of computer model of the platform-trolley combination. The software employed for simulation is CATIA V5 R19 considering its surface modelling capabilities. With the limiting dimensions and design constraints mentioned in Table 1, a prototype of the platform-trolley combination is made. This computer model is further verified for interconnection between platform surfaces and coincidence of edges at corners. This model is saved in IGES (Initial Graphics Exchange Specifications) format in order to export the same in analysis software environment for finite element modelling. Fig. 3: Dimensional details of prototype of platform-trolley combination In next phase of research, finite element analysis of the platform-trolley combination is carried. To simulate the practical or actual load situations to which the platform-trolley combination is subjected, concise understanding of the loading environment through which the platform-trolley combination has to undergo is the fundamental prerequisite [11-14]. Other vital considerations for platform-trolley simulation are material and its physical properties, attachment of platform trolley-combination to vehicle chassis which decides the constraints and further boundary conditions for finite element analysis. Every finite element analysis process possesses three fundamental steps viz. pre- processing or modelling, analysis and post-processing. During pre-processing phase of platform-trolley combination, geometry of combination along with loads, constraints and mechanical properties are formulated. This includes surface model of the preparation of the platform-trolley combination, meshing of the same and application of loads and constraints. Present platform- trolley combination is structural welded and bolted steel structure. Element selection being crucial step during finite element analysis is given important concern. Present structure is a combination length-width dimensions in which length is dominant over individual thickness that corresponds to plane stress situation in finite element terms. Shell element which resembles plane stress situation is selected for meshing [15]. A quad-tri element shape combination is used while meshing complex regions. Major elements for meshing comprise of quadrilateral shape. Steel material properties as Young’s Modulus: 210GPa, Poisson’s ratio as 0.3 and density of 7850kg/m3 are assigned to the elements [18]. Node to node and element to element connectivity are ensured for proper load transfer in all regions of the platform-trolley combination. Meshed platform-trolley model is further verified for possible meshing errors such as aspect ratio, warpage, skewness interior angle, and taper before proceeding for application of boundary
  • 4. Deulgaonkar. 2019. Int. J. Vehicle Structures & Systems, 11(2), 69-73 72 conditions. The meshed model is shown in Fig. 4. A uniformly distributed load of 6000N on the prototype combination is applied and nodes on the bottom surface of chassis flange are applied constraints. All the degrees of freedom of the bottom nodes are arrested based on the presumption that chassis is rigid [19]. Intense loads in downward direction are applied over the nodes of platform trolley-combination. The meshed model of the structure along with these boundary conditions is shown in Fig. 5. Fig. 4: Meshed model of platform-trolley combination Fig. 5: Loads and boundary conditions applied to platform-trolley The second step in the finite element analysis procedure is to solve (analysis) phase. In this stage matrix (stiffness, force & displacement) equations are generated for the applied set of boundary conditions i.e. for loads and constraints at each element and these are further assembled for the entire elements of the platform- trolley combination. These equations are solved for deflection and are utilized to evaluate stress, strain and reaction values at critical locations. This process is done with the aid of solver and all the calculations are done at the background of computer [21]. Final post-processing step that includes interpretation of results is very crucial to determine the critically stressed locations on the platform-trolley combination structure. From the stress and displacement plots shown in Fig. 6 and Fig.7, the critical stress areas are identified. Although load is uniformly distributed over the entire trolley surface intact with platform, major stress portions include mid, front and rear at the centroidal locations. Present results are converged at the element dimension of 20mm [20]. Convergence of displacement results is observed at 20mm which is observed after carrying analysis for element dimensions ranging from 5mm to 15mm in steps of 5mm each. Fig. 6: Stress plot for platform-trolley combination Fig. 7: Displacement plot for platform-trolley combination 4. Conclusions The commencement of simulation work of the platform- trolley design evaluation includes consideration for factors as agricultural terrain and untarred road profiles, unevenness in load arising from tire-road interaction during agricultural and related transport operations, effect of heap (commodity) height placed in the trolley and magnitude of bending moment generated about the centre of gravity of the tractor-trolley combination in addition to design parameters that include overall height, bump clearance, cornering effect, ground clearance etc. From the stress pattern observed, it is inferred that there is uniform distribution of load over the entire surface of the trolley which is attributed to the design of supporting platform along with trolley. Maximum magnitude of Von-Mises stress is observed at the mid portion of the trolley-platform combination and its magnitude is 10.325MPa. This magnitude is very low when extrapolated with the true scale loading of 5 tonnes. Maximum displacement is observed in front and rear overhang portions of the structure. This is attributed to the locations of cross- members on the platform beneath trolley. The magnitude observed is 0.15mm at both front and rear portions. The stress and deflection at other locations are well within
  • 5. Deulgaonkar. 2019. Int. J. Vehicle Structures & Systems, 11(2), 69-73 73 limits of the material yield strength. With the aid of these finite element analysis results, the behaviour of trolley- platform combination is devised and understood. As the same combination is used for agricultural transportation it is obvious that such trolleys are always overloaded. Present research provides a levelled base for the agricultural produce to be transported with extravagant load carrying capacity and to withstand rough usage. REFERENCES: [1] V.R. Deulgaonkar and A.G. Matani. 2014. Development and validation of chassis mounted platform design for heavy vehicles, Int. J. Vehicle Structures & Systems, 6(3), 51-57. http://dx.doi.org/10.4273/ijvss.6.3.02. [2] V.R. Deulgaonkar, A.G. Matani and S.P. Kallurkar. 2015. Design evaluation of chassis mounted platform for off-road wheeled heavy vehicles, Int. J. Vehicle Structures & Systems, 7(3), 55-59. http://dx.doi.org/10.4273/ijvss.7.3.03. [3] V.R. 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