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山东科技大学学士学位论文
附录
IndiaInternational Journal of Emerging
Trends & Technology in Computer Science
(IJETTCS)
Web Site: Email:
editor@, editorijettcs@
V
olume 2, Issue 2, March
–
April 2013ISSN 2278-6856
Analysis and validation of Eicher 11.10
chassis
frame using
Ansys
. Tushar M. Patel 1 ,
Dr. M. G
. Bhatt 2 and Harshad K. Patel
3
1 Research Scholar, Mewar University,
Gangrar, Rajasthan, India.
2 Associate
Professor, SSEC, Bhavnagar, Gujarat, India
3 ME Scholar, LDRP-ITR, Gandhinagar,
Gujarat,
Abstract:
Truck
chassis is the structural backbone of any vehicle.
The main function of the
truck chassis
is to support the components and payload placed
upon it. The chassis frame
has to
withstand the stresses developed as well as
deformation occurs in it and that should
be within a limit.
This paper presents the study of the
stress developed in chassis and
deformation of chassis frame of EICHER
11.10.
The stress and
deformation has been
calculated for the
chassis frame and the FE analysis has been done
for the validation on the
chassis frame
model. The model of the chassis has been developed
in solid works 2009 and
static
structural analysis has been done in ANSYS
workbench.
Keywords
: FEA,
Truck Chassis, Structural Analysis, Ladder Frame
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山东科技大学学士学位论文
1.
INTRODUCTION
Automobile
chassis usually refers to the lower body of the
vehicle including the tires,
engine,
frame, driveline and suspension. Out of these, the
frame provides necessary support
to the
vehicle components placed on it. Also the frame
should be strong enough to
withstand
shock, twist, vibrations and other stresses. The
chassis frame consists of side
members
attached with a series of cross members.
Along with the strength, an
important
consideration in the chassis
design is to increase the stiffness (bending and
torsion)
characteristics. Adequate
torsional stiffness is required to have good
handling characteristics.
Normally the
chassis are designed on the basis of strength and
stiffness. In the conventional
design
procedure the design is based on the strength and
emphasis is then given to increase
the
stiffness of the chassis, with very little
consideration to the weight of the chassis. One
such design procedure involves the
adding of structural cross member to the existing
chassis
to increase its torsional
stiffness. As a result weight of the chassis
increases. This increase in
weight
reduces the fuel efficiency and increases the cost
due to extra material. The design of
the chassis with adequate stiffness and
strength is necessary.
2
、
LITERATURE
REVIEW
Many researchers had conducted analysis
on chassis of various heavy vehicles. The
dynamic characteristics of truck
chassis such as the natural frequency and mode
shape were
determined using finite
element method. Experimental modal analysis was
carried out to
validate the FE models
[2].
Vijay Patel et al.
performed the static structural analysis of the
truck chassis. Structural systems of
the chassis can be easily analyzed using the
finite
element techniques. So a proper
finite element model of the chassis has been
developed.
The chassis was modeled in
PRO-E. FEA was done on the modeled chassis using
the
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山东科技大学学士学位论文
ANSYS Workbench. The highest stress
produce was 106.08 MPa by FE analysis. The
calculated maximum shear stress was
95.43 Mpa. The result of FE analysis was 10%
bigger
than the result of analytical
calculation. The maximum displacement of numerical
simulation result was 3.0294 mm. The
result of numerical simulation was 5.92 % bigger
than the result of analytical
calculation which is 2.85 mm. The difference was
caused by
simplification of model and
uncertainties of numerical calculation [3]. Abd
Rahman et al.
investigated stress
analysis on a heavy-duty truck chassis using
finite element method.
Finite element
result had shown that the critical point of stress
occurs at opening of chassis
which was
in contact to the bolt. Thus it was important to
reduce stress magnitude at the
specific
location. Previous FEA agree with the maximum
deflection of simple beam loaded
by
uniformly distributed force [4]. Ebrahimi et al.
constructed a hay trailer model and its
components analysis was carried out
[5]. Sane et al. performed stress analysis on a
light
commercial vehicle chassis using
iterative procedure for reduction of stress level
at critical
locations [6]. Koszalka et
al.
accomplished stress
analysis on a frame of semi low loader
using FEM. Two versions of frame design
were analyzed, focusing on the part of beam
where the highest stresses were located
[7].
3
、
FINITE ELEMENT
ANALYSIS
3.1
、
Basic Concept
of FEM
The finite element method (FEM)
is a computational technique used to obtain
approximate
solutions of boundary value
problems in engineering. Simply stated, a boundary
value
problem is a mathematical problem
in which one or more dependent variables must
satisfy a
differential equation
everywhere within a known domain of independent
variables and
satisfy specific
conditions on the boundary of the domain.
An unsophisticated description of the
FE method is that it involves cutting a structure
into
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山东科技大学学士学位论文
several elements (pieces of structure),
describing the behavior of each element in a
simple
way, then reconnecting elements
at nodes as if nodes were pins or drops of glue
that hold
elements together (Figure 1).
This process results in a set of simultaneous
algebraic
equations. In stress analysis
these equation are equilibrium equations of the
nodes. There
may be several hundred or
several thousand such equations, which mean that
computer
implementation is mandatory.
Figure 1:
Discretization of model [4]
3.2
、
A General
Procedure for FEA
。
There are three main steps, namely:
preprocessing, solution and post processing. In
preprocessing (model definition)
includes: define the geometric domain of the
problem, the
element type(s) to be
used, the material properties of the elements, the
geometric properties
of the elements
(length, area, and the like), the element
connectivity (mesh the model), the
physical constraints (boundary
conditions) and the loadings.
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山东科技大学学士学位论文
In
solution includes: the governing algebraic
equations in matrix form and computes the
unknown values of the primary field
variable(s) are assembled. The computed results
are
then used by back substitution to
determine additional, derived variables, such as
reaction
forces, element stresses and
heat flow. Actually the features in this step such
as matrix
manipulation, numerical
integration and equation solving are carried out
automatically by
commercial software.
In post processing, the analysis and
evaluation of the result is conducted in this
step.
Examples of operations that can
be accomplished include sort element stresses in
order of
magnitude, check equilibrium,
calculate factors of safety, plot deformed
structural shape,
animate dynamic model
behavior and produce color-coded temperature
plots. The large
software has a
preprocessor
and postprocessor to
accompany the analysis portion and the both
processor can
communicate with the
other large programs. Specific procedures of pre
and post are
different dependent upon
the program
。
4
、
MODELING OF
EXISTING CHASSIS
FRAME
.The model of existing chassis as per
the dimension is created in solid works 2009 as
shown on Figure model is then saved in
IGES format which can be directly
imported into ANSYS workbench. Figure 3
shows the imported model in ANSYS
workbench.
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山东科技大学学士学位论文
.
Figure 2: CAD model of chassis in solid
works 2009
Figure 3: Geometry of chassis frame in
Ansys
4.1.
Material of Model
For the
frame geometry of chassis generally steel and its
alloys are used. For the frame
models,
variety of materials, composite materials and
different kind of alloys can be used.
In the present study, ST 52 is used and
its properties are as given below.
Table 1: Material properties of chassis
[1]
Material
ST
52
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山东科技大学学士学位论文
Modulus of Elasticity E
2 x 105 N/mm2
Possion Ratio
0.3
Tensil
e Strength
520 N/mm2
Yield Strength
360 N/mm2
4.2.
Connection Type
The connection type
between the side bars, bracket and cross bar can
be welded, riveted or
it can be bolted.
Normally riveted joint is
used so here the riveted connection is defined in
modeling as shown in Figure 4.2
Figure 4:
Connection type of chassis frame
4.3
Meshing of Chassis Frame
The meshing is
done on the model with 85466 No. Of nodes and
38369 No. of Tetrahedral
elements.
Figures 5 and 6 show tetrahedral element and
meshing of model
。
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山东科技大学学士学位论文
Figure 5: Ten node
tetrahedral element
Figure 6: Meshing of chassis frame
4.4. Loading Condition of Chassis Frame
The truck chassis model is loaded by
static forces from the truck body and load. For
this
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山东科技大学学士学位论文
model, the maximum loaded weight of
truck and body is 10,000 kg. The load is assumed
as
a uniform distributed obtained from
the maximum loaded weight divided by the total
length
of chassis frame. Detail loading
of model is shown in Figure 7 and 8. The magnitude
of
force on the upper side of chassis
is 117720 N which is carried by two side bars so
load on
one side bar is 58860 N.
Figure 7: Load
on first side bar of chassis frame
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山东科技大学学士学位论文
Figure 8: Load on second
side bar of chassis frame
5
、
RESULT OF
ANALYSIS
Figure 9: Flow chart for validation
The analysis done on the chassis model
gives the maximum generated shear stress value
100.13 KN (figure 11). Based on static
safety factor theory, the magnitude of safety
factor
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山东科技大学学士学位论文
for
this structure is 1.43 [4].
The formula of design stress is defined
by [1]
Design Stress = Yield
Stress/Factor of Safety
J. P. Vidosic
recommends some value of safety factor for various
condition of loading and
material of
structures.
The value of
1.5 to 2 for well known materials under reasonably
environmental condition, subjected to
loads and stresses that can be determined readily.
Based on this result, it is necessary
to reduce the stress magnitude of critical point
in order
to get the satisfy SF value of
truck chassis. The truck chassis can be modified
to increase the
value of SF especially
at critical point area. The permissible value of
shear stress for
material ST 52 is
350/3 = 116.66 Mpa (considering factor of safety
is 3 for design) [8].
The generated
shear stresses are less than the permissible value
so the design is safe. The
shear stress
and deformation are as shown in Figure 11 and 12.
Figure 10: V
on
misses stress on chassis frame
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山东科技大学学士学位论文
Figure 11: Shear stress in
chassis frame
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山东科技大学学士学位论文
Figure 12: Deformation of chassis frame
6
、
CONCLUSION
The generated shear stresses are less
than the permissible value so the design is safe.
The
analysis gives maximum shear stress
and total deformation which are in desired limit
as
shown in table 2.
Table
2: Comparision of analysis and calculated results
This percentage variation
is caused by simplification of model and
uncertainties of
numerical calculation.
References
[1] PSG Design
Data Book for Standard Data-M/s Kalaikathir
Achchagam,
Coimbatore2004
[2]Izzuddin bin Zaman @ bujang. Study
of dynamic behaviour of truck chassis. University
technology Malaysia. December 2005
[3] Vijaykumar V. Patel,
“Structural analysis of a adder chassis frame,”
World Journal of
Science and echnology
2012, 2(4):05-08
[4]
A. Rahman, R., Tamin, M. N., Kurdi, O.,
2008,“Stress Analysis of Heavy Duty Truck
Chassis using inite Element Method,”
Journal Mechanical, No 26 76
-85
[5] Ebrahimi, E., Borghei,
A., Almasi, M., Rabani, R
.,2010,
“Design, Fabrication,
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