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Sahil Naghate, Sandeep Patil / International Journal of Engineering Research and Applications
                    (IJERA)          ISSN: 2248-9622       www.ijera.com
                        Vol. 2, Issue4, July-August 2012, pp.1973-1979
        Modal Analysis of Engine Mounting Bracket Using FEA
                                 Sahil Naghate*, Sandeep Patil**
   *Department of Mechanical Engineering, Marathwada Institute of Technology, Aurangabad, Maharashtra,
                                                 India.
  ** Department of Mechanical Engineering, Marathwada Institute of Technology, Aurangabad, Maharashtra,
                                                 India.


Abstract
         The engine mounting plays an important            Automobile engine-chassis-body system may
role in reducing the noise, vibrations and                 undergo undesirable vibrations due to disturbances
harshness for improving vehicle ride comfort.              from the road and the engine. The vibrations induced
The first and the foremost function of an engine           by the road or the engine at idle are typically at the
mounting bracket is to properly balance the                frequencies below 30Hz. In order to control the idle
power pack (engine &transmission) on the vehicle           shake and the road-induced vibrations, the engine
chassis for good motion control as well as good            mount bracket should be stiff and highly damped. On
isolation.                                                 the other hand, for a small amplitude excitation over
                                                           the higher frequency range (30- 250Hz) from the
        Present work deals with FEA analysis of            engine, a compliant and lightly damped mount
engine mounting bracket. It includes the modeling          bracket is required for vibration isolation and
of the engine mounting brackets by changing the            acoustic comfort. So, the engine mount bracket must
material of component. Materials selected are              satisfy these two essential criteria
Aluminum alloy and magnesium alloy. Analysis
includes Static and Modal Analysis of engine                        In diesel engines the engine mounting is one
mounting bracket using Square Cross section. The           of the major problems. Due to the Un-throttled
study shows that this bracket will have a dramatic         condition, and higher compression ratio of the diesel
weight reduction compare to standard aluminum              engine, the speed irregularities particularly at low
alloy material and withstand high stress.                  Speed and Low load conditions and are significantly
                                                           higher than gasoline engines. Thus this results in
Keywords- Engine, Mounting, FEA, Modal                     vibration excitation. Due to vibration of engine the
Analysis.                                                  holes on the engine mounting Bracket get enlarged
                                                           which results in the failure of bracket. By optimizing
                                                           the thickness and shape of major mounting points
I. INTRODUCTION                                            made it possible to design a vehicle with optimized
          The need for light weight structural             weight and performance at initial designing stages
materials in automotive applications is increasing as      [1]. Studies shows that the brackets saved 38% mass
the pressure for improvement in emissions and fuel         (0.86 kg the expected and resultant benefit is
economy increases. The most effective way of               different for each application. Range of savings are
increasing automobile mileage while decreasing             20% to 38% in the authors’ experience to 0.53 kg)
emissions is to reduce vehicle weight.              The    [4]. Structural optimization is an effective tool to
magnitude of the production volumes has                    obtain an optimum design. Comparison in terms of
traditionally placed severe requirements on the            weight and component performance illustrates that
robustness of the processes used in manufacturing.         structural optimization techniques are effective to
The strong emphasis on the cost has demanded the           produce higher quality products at a lower cost [5].
component       manufacturers to improve             the   Dynamic analysis of vehicle components and systems
performance of their materials and to find the             is now an integral part of the engineering design
methods to deliver these materials at reduced cost.        process in the automotive industry [9]. The topology
There are a number of noise and vibration sources          based design is used in the conceptual design phase
that affect the vehicle body. The noise and vibration      and then, the shape optimization is subsequently
occur because the power that is delivered through          employed using initial optimal topology.
bumpy roads, the engine, and suspension result in the
resonance effect in a broad frequency band. The ride                The objective is to do a modal analysis of
and noise characteristics of a vehicle are significantly   the engine bracket to determine whether the current
affected by vibration transferred to the body through      design has a natural frequency which is lower than
the chassis mounting points from the engine and            the excitation frequency of the engine bracket, in
suspension. It is known that body attachment               which case the design will be considered safe. Once
stiffness is an important factor of idle noise and road    safety of the design is established, and then
noise for NVH performance improvement. The                 optimization will be done material Optimization: The

                                                                                                  1973 | P a g e
Sahil Naghate, Sandeep Patil / International Journal of Engineering Research and Applications
                    (IJERA)          ISSN: 2248-9622       www.ijera.com
                        Vol. 2, Issue4, July-August 2012, pp.1973-1979
design will be tested for different materials,           PRE PROCESSING:
Aluminum and magnesium alloy, and suitability of                  The pre-processing of the engine mounting
material will be tested.                                 bracket is down for the purpose of the dividing the
                                                         problem into nodes and elements, developing
II. METHODOLOGY                                          equation for an element, applying boundary
BASIC STEPS IN THE FEA                                   conditions, initial conditions and for applying loads.
        The basic steps involved in any finite           The information required for the pre-processing stage
element analysis consist of the following                of the bracket is as follows,
                                                          Material properties: The values of young’s
               PREPROCESSING PHASE                         modulus, poisons ratio, density, yield strength for
                                                           Aluminium and magnesium are taken from
                                                           material library of the FEA PACKAGE. At the
                                                           point only one material is selected at a time, which
                   SOLUTION PHASE                          is sufficient to show that a change of material is
                                                           made depending upon the analysis results.
                                                           Meshing: A solid element mesh is required to be
              POSTPROCESSING PHASE                         generated. The meshing of the mounting bracket is
                                                           done as hex mesh for steel, for Aluminium and for
                                                           magnesium also.
                 Fig.1. FEA process                       Loads: Specific values of load are implemented for
                                                           a typical mounting bracket. The load is taken as
                                                           1000N which is considerable as the distributed
STATIC STRUCTURAL ANALYSIS                                 weight of the engine is less than this value. Load is
         A static structural analysis is the analysis      applied at the three holes of the engine mounting
displacements, stresses, strains and forces on             bracket, which are connected to the engine
structure or a component due to load application. The      structure with the help of rigid elements such as nut
structures response and loads are assumed to vary          and bolts.
slowly with respect to time. There are various types      Constraints: The nodes around the bracket
of loading that can be applied in this analysis which      mounting holes have a rigid element connecting
are externally applied forces and pressures, and           them to the centre of the hole which has of its
temperatures. A static structural analysis can either      degree of freedom fixed. The element which is
be linear or non linear.                                   used to fix engine mounting bracket and body of
                                                           the vehicle is fixed and used as a rigid element.
MODAL ANALYSIS                                            The FE mesh together with the loads and
          Modal analysis determines the vibration
                                                           constraints is made in the meshing environment.
characteristics of a structure or a particular
                                                           The minimum and maximum are set, together with
component in the form of natural frequencies and
                                                           other mesh parameters such as element type and
mode shapes. From this analysis we can do more
                                                           material. The selected object is ready for further
detailed dynamic analysis such as transient dynamic
                                                           analysis.
analysis, harmonic analysis or spectrum analysis. The
natural frequencies and mode shapes are important in
                                                         POST PROCESSING:
the design of a structure for dynamic loading                      The acceptability of the design of the engine
conditions. In this analysis, only linear behavior is    mounting bracket needs to be considered from the
valid. Damping is not considered and applied loads
                                                         results of the analysis. The guidance for the
are ignored in modal analysis. A static structural
                                                         modification of the bracket need to be available if the
analysis is required first for performing pre stressed
                                                         design is not considered to be acceptable for the
modal analysis.
                                                         engine mounting bracket are as follows.
                                                         1) Model acceptance criteria: the maximum von-
          The analysis of many engineering and
                                                            Mises stress must be less than the material yield
automotive components is done with the help of
                                                            strength for the duration of the component. The
finite element techniques. These analysis are very
                                                            deflection is considered and the maximum Von-
helpful for approving or making some design changes
                                                            Mises stress must be less than the yield strength for
during the post processing stage. The design changes
                                                            abuse load case.
mainly depend on the product life cycle and helps        2) Design modification criteria: the modifications are
design engineers or the analysts to finales dimensions      made if the design is not acceptable, such as
and material of the components. This analysis of an
                                                            increasing fillet, increasing material thickness and
engine mounting bracket is done with the help of
                                                            altering material specifications. The output in the
FEA software.
                                                            form of the stress value is generated, when the
                                                            analysis has been completed. This output data in
                                                            the form of figures is then checked for determining

                                                                                                 1974 | P a g e
Sahil Naghate, Sandeep Patil / International Journal of Engineering Research and Applications
                    (IJERA)          ISSN: 2248-9622       www.ijera.com
                        Vol. 2, Issue4, July-August 2012, pp.1973-1979
   the relevant information and compared with the         Young’s modulus – 7.1e+10 N/m2
   acceptance criteria.                                   Poisson’s ratio – 0.33
3) Result interpretation: from the results of the         Density – 2770 Kg/m3
   analysis the engineer required to understand the       Yield strength in tension & compression – 2.8e+8
   failure criteria for the particular component.         N/m2
4) The Design Failure Criteria: maximum allowable
   deflection, maximum allowable stress is required to    Stress analysis:
   be known and documented. For this purpose the                   Stress analysis of the engine mounting
   values of the Von-Mises stress is considered. There    bracket is carried out by fixing the bracket at the
   is also a requirement for recognizing the effect of    large size end which is fixed to the vehicle body.
   the analysis on the engine mounting bracket due to     Then the load is applied at the other end of the
   load applied.                                          bracket for the purpose of static structural analysis.

ALUMINUM:
         Aluminum has only about one third the
density of steel and the most commercial Aluminum
alloys posses substantially higher specific strength
than steel. A vehicle weight reduction would not only
result in higher oil savings, but also gives a
significant reduction in emission. For these reasons
there is preference to use more Aluminum and
replace steel in automotive applications.
 But there are several obstacles in implementation of
Aluminum in automotive industry. Some of these are,
    The forming limits of Aluminium are
      significantly lower than the steel. There are
      several chances of Aluminium to tearing at
                                                                               Fig 2: Meshed Model
      bends. This limits the shapes that can be
      fabricated and slows die design, die tryout and
      applications.
                                                                    Von-Mises stresses can be derived from the
    Spring back problem is more in thicker sheets        static analysis of structure. As shown in figure 3 the
      of Aluminium and it is hard to keep                 von mises stresses plots are taken. As seen from these
      dimensional tolerances.                             plots of stress we can see that maximum stress of the
    Traditional vehicle body manufacturing               value 26.758 MPa is found out at the bracket which is
      technology implementing stamped sheet steel         fixing the bracket and the vehicle structure. This is
      component cannot be sufficiently improved to        due to the load concentration at the fixed point.
      meet future vehicle requirements because of the
      higher weight of the steel and the high cost and
      more time required for stamping tool
      development.

         The analysis of the engine mounting bracket
is done with the help of FEA PACKAGE software. In
this process first the material selection done from the
engineering data sheet of the FEA PACKAGE
software. Then the meshing of the component is done
from the MESH function of the software. The
importance of the meshing in the whole process of
analysis is very important from the point of result          Fig.3 Von-mises stress plot     Fig 4: Deformation of
implementation. The element used in the meshing is                                                  Bracket
solid 186 which are 20 node brick, hexagonal in
shape and very good for the deformation problems.                  Above figure 4, shows the deformation of
The size and shape of the meshing is the factor which     the engine mounting bracket, when the load is
specifies the method of solution of FE problem in the     applied at the side of bracket which is towards the
any FEA software. By the process of refining, which       engine connection. As seen from the deformation plot
is nothing but the changing the size of the mesh          deformation is more at the end of the bracket due to
accurate result can carry out.                            the maximum load application is at this side of the
Aluminum Alloy                                            bracket. The deformation of this part is 1.6258 mm,
        Aluminum alloy under consideration has            which can be seen from the above result. The
following material properties:                            deformation plot shows the variation in values from

                                                                                                 1975 | P a g e
Sahil Naghate, Sandeep Patil / International Journal of Engineering Research and Applications
                    (IJERA)          ISSN: 2248-9622       www.ijera.com
                        Vol. 2, Issue4, July-August 2012, pp.1973-1979
fixed side to the engine side of bracket. It is            conclude that the maximum value deformation is
minimum at the fixed side and highest on the engine        taking place at the bottom side of the bracket
side.                                                      connected to the engine. The frequency of vibration
                                                           for this particular mode is 322.78 Hz.
MODAL ANALYSIS:
         The modal analysis of the engine mounting
bracket is carried out for determining natural
frequencies and shapes of the natural vibration
modes. These frequencies are the outputs given by
the analysis of the engine mounting bracket.




                                                            Fig 9: Fifth mode of vibration    Fig 10: Sixth mode of
                                                                                                    vibration

                                                                     As seen from the above figure 9 the values
                                                           of deformation increasing minimum to maximum
                                                           from the end which is connected to the vehicle
                                                           structure to the end of engine. The maximum value of
 Fig 5: First mode of vibration    Fig 6: Second mode of   deformation is seen at the ends of engine. The
                                          vibration        frequency of vibration for this particular mode is
                                                           462.57 Hz. From the above plot (figure 10) of the
         From the above plot (figure 6) of the total       total deformation of the engine mounting bracket we
deformation of the engine mounting bracket we can          can conclude that the maximum value deformation is
conclude that the maximum value deformation is             taking place at the bottom side of the bracket
taking place at the side of the bracket connected to       connected to the engine. The frequency of vibration
the engine. This is due to the fact that vibrations are    for this particular mode of vibration is 630.5 Hz.
going to act on this part of the bracket. The
deformation for the other side which is fixed to the       ALTERNATIVE MATERIAL “MAGNESIUM
body of the vehicle is almost zero for some part of it.    ALLOY”
The frequency of vibration for this particular mode of              Magnesium is the lightest of all metals used
the bracket is 142.78 Hz.                                  as the basis for constructional alloys. It is this
                                                           property due to which automobile manufactures has
                                                           to replace denser materials, not only steels, cast irons
                                                           and copper base alloys but even Aluminum alloys by
                                                           magnesium base alloys. The requirement to reduce
                                                           the weight of car components as a result in part of the
                                                           introduction of legislation limiting emission has
                                                           triggered renewed interest in magnesium. A wider
                                                           use of magnesium base alloys necessitates several
                                                           parallel programs. These can be classified as alloy
                                                           development, process development improvement and
 Fig 7: Third mode of             Fig 8: Fourth mode       design considerations. The requirement to reduce the
 vibration                        of vibration             weight of car components as a result in part of the
                                                           introductions of legislation limiting emission has
          The third mode of vibration of the engine        triggered renewed interest in magnesium.
mounting bracket is seen in the plot (figure 7) for
modal analysis. The part towards the engine of the                   The advantages of magnesium alloys are
vehicle is not deformed too much, but from this point      listed as follows, lowest density of all metallic
to the side of the bracket which is fixed to the vehicle   constructional materials. It posses high specific
structure is varying with deformation. The higher          strength, good cast ability, which suitable for high
value of deformation is at the upper corner of the         pressure die casting good welding properties, higher
bracket. The side towards the vehicle structure is         corrosion resistance. Also compared with polymeric
largely deformed as seen from the figure. The              materials it posses better mechanical properties,
frequency of vibration for this particular mode is         better electrical and thermal conductivity and it is
213.26 Hz.                                                 recyclable. The requirement to reduce the weight of
          From the above plot (figure 8) of the total      car components as a result in part of the introduction
deformation of the engine mounting bracket we can          of legislation limiting emission has triggered renewed


                                                                                                   1976 | P a g e
Sahil Naghate, Sandeep Patil / International Journal of Engineering Research and Applications
                    (IJERA)          ISSN: 2248-9622       www.ijera.com
                        Vol. 2, Issue4, July-August 2012, pp.1973-1979
interest in magnesium. The application of die cast         the other side after some definite intervals. The
magnesium for automobile components produced in            frequency of vibration for this particular mode of the
large quantities is the one method for reducing            bracket is 75.261 Hz.
vehicle weight. But these components must be cost
competitive with material and processes in current
manufacturing and gives high qualities to ensure
adequate mechanical properties. One of the reasons
for the limited use of magnesium has been some poor
properties exacerbated by a lack of development
work. It is not possible to use conventional alloying
techniques to improve some of the properties, e.g.
elastic constants. The solubility of alloying elements
in magnesium is limited, restricting the possibility of    Fig 13: First mode of vibration    Fig 14:Second mode of
improving the mechanical properties and chemical                                                     vibration
behavior. The crystal structure of magnesium is
hexagonal which limited its inherent ductility.                    From the plot (figure 14) of the total
                                                           deformation of the engine mounting bracket we can
Magnesium Alloy                                            conclude that the maximum value deformation is
Magnesium alloy under consideration has following          taking place at the side of the bracket connected to
material properties                                        the engine. This is due to the fact that vibration is
         Young’s modulus – 4.5e+10 N/m2                    going to act on this part of the bracket. The
         Poisson’s ratio – 0.35                            deformation for the other side which is fixed to the
         Density – 1800 Kg/m3                              body of the vehicle is almost zero for some part of it.
         Yield strength in tension and compression –       The deformation goes on increasing from the fixed
         1.93e+8 N/m2                                      end towards the side of the engine. The frequency of
                                                           vibration for this particular mode of the bracket is
Stress Analysis                                            140.6 Hz.
          As shown in the figure 11) lot of the total
deformation of the engine mounting bracket we can
conclude that the maximum value deformation is
taking place at the bracket connected to the engine.
This is the fact that maximum load and vibrations are
going to act on this part of the bracket. The highest
value deformation takes place on this side which is
having value of 2.5696 mm. the deformation for the
other side which is fixed to the body of the vehicle, is
almost zero for some part of it. The deformation goes
                                                                Fig 15: Third mode of          Fig16: Fourth mode of
on increasing from the fixed end towards the side of
                                                                      vibration                      vibration
the engine.
                                                                     The third mode of vibration of the engine
                                                           mounting bracket is seen in the plot (fig 15) for
                                                           modal analysis. The part towards the engine of the
                                                           vehicle is not deformed too much, but from this point
                                                           to the side of the bracket which is fixed to the vehicle
                                                           structure is varying with deformation. The higher
                                                           value of deformation is at the upper corner of the
                                                           bracket. The side towards the vehicle structure is
                                                           largely deformed as seen from the figure above. The
                                                           frequency of vibration for this particular mode is
   Fig 11: Total deformation         Fig 12: Stress
                                      distribution
                                                           210.62 Hz.
                                                                     From the above plot (figure 16) of the total
MODAL ANALYSIS:                                            deformation of the engine mounting bracket we can
         It can be seen from the below plot of the         conclude that the maximum value deformation is
deformation of the engine mounting bracket the             taking place at the bottom side of the bracket
deformation is maximum at the end part which is            connected to the engine. The frequency of vibration
connected to the engine of the vehicle. The maximum        for this particular mode is 318.52 Hz. As seen from
value of the deformation is less at the end which is       the figure 17 the values of deformation increasing
connected to the vehicle, which can be said at a fixed     minimum to maximum from the end which is
one. The deformation increases from the fixed end to       connected to the vehicle structure to the end of


                                                                                                   1977 | P a g e
Sahil Naghate, Sandeep Patil / International Journal of Engineering Research and Applications
                    (IJERA)          ISSN: 2248-9622       www.ijera.com
                        Vol. 2, Issue4, July-August 2012, pp.1973-1979
engine. The maximum value of deformation is seen at         Table-3: Frequency comparison for Aluminum and
the of engine. The frequency of vibration for this                         magnesium Alloy’s
particular mode is 455.91 Hz. The need for low
weight materials in the vehicle is driving automobile
manufacturers to look to new material for use in their
products. Some studies suggest that 4.5 to 6% fuel
efficiency can be gained for every10% reduction in
vehicle weight. The typical magnesium alloy cast
part, is lighter compare to Aluminum or steel part.
Comparison between steel, Aluminum’s and
magnesium can be done for the material of the engine
mounting bracket as follows,

RESULTS AND DISCUSSION

STRESS ANALYSIS:
                                                          Graph: Magnesium Alloy        Graph: Aluminum Alloy

                      Aluminum        Magnesium
                      alloy           alloy                       From above graphs we can conclude that the
  Von-Mises           26.758 Mpa      26.483 Mpa         convergence of a frequency for magnesium material
  stress(max)                                            is good. The first excitation frequency value for
  Total               1.6258 mm       2.5696 mm          magnesium is higher than that of excitation frequency
  deformation                                            range of engine.
  (max)
                                                         CONCLUSION
 Table 2: Stress Analysis for Engine Mounting Bracket              The finite element analysis tool has been
                                                         used to analyze the engine mounting bracket using
    It can be seen from the above results that the       CAE Package. This work is a contribution to the
value of the stress on the Aluminum bracket is not       development of new material for engine mounting
varying too much than the stress value of magnesium      bracket. The results obtained for the static structural
bracket for the same load. This is because of the fact   and modal analysis have shown that the magnesium
that the area and force for both brackets are same.      is better than aluminum. From the results it can be
The values of the total deformation are varying in       seen that the magnesium bracket is safe for the
some large values. This is due to difference in the      required application.
density of the materials.                                          The main advantage of the magnesium
                                                         engine mounting bracket is its light weight. It will
MODAL ANALYSIS                                           help in decreasing the weight of the power train
         The values of frequencies are nearly same       assembly, which can increase fuel efficiency.
for gray cast iron, Aluminum and magnesium               Magnesium is recyclable; therefore it is an eco
bracket. The first excitation frequency value for        friendly material. The magnesium bracket can be
magnesium is higher than that of excitation frequency    manufactured with less amount of time and it posses
range of engine (1-150 HZ).                              longer life compared to an aluminium bracket. The
                                                         magnesium bracket is less susceptible to corrosion;
    Frequency         Aluminum      Magnesium            therefore they are better for the application of
                      alloy in      Alloy in Hz          bracket. The main problem of using magnesium
                      Hz                                 instead of aluminum is its higher cost; but recent
    First             76.121        75.108               studies have shown that the difference between costs
    Frequency                                            of aluminium and magnesium is decreasing. Also if
                                                         the use of magnesium in industries increases, its
    Second            142.78        140.6
                                                         manufacturing cost will be definitely reduced.
    Frequency
    Third             213.26        210.62
                                                                  Thus it can be concluded that magnesium
    Frequency
                                                         can be preferred over aluminum as a material for an
    Fourth            322.78        318.52
                                                         engine mounting bracket. Research in the direction of
    Frequency
                                                         implementing magnesium engine mounting bracket
    Fifth             462.57        455.91               instead of aluminum bracket has also proved that
    Frequency                                            magnesium brackets are better in various operating
    Sixth             630.5         622.94               conditions.
    Frequency


                                                                                                1978 | P a g e
Sahil Naghate, Sandeep Patil / International Journal of Engineering Research and Applications
                    (IJERA)          ISSN: 2248-9622       www.ijera.com
                        Vol. 2, Issue4, July-August 2012, pp.1973-1979
REFERENCES                                          [6]    Guizhi Sun, Minxiang Wei, Jinju Shao and
                                                           Man Pei, Automotive Powertrain Modeling
 [1]   Kichang Kim and Inho Choi, Design                   and Simulation Based on AMESim, SAE
       Optimization Analysis, SAE TECHNICAL,               TECHNICAL,PAPER SERIES, 2007-01-
       2003-01-1604                                        3464.
 [2]   Doo-Ho Lee, Jeon, Woo Chang, Chan-Mook       [7]    Doo-Ho Lee, Woo-Seok Hwang, Chan-
       Kim, Optimal Shape Design of an Air-                Mook Kim, Noise Sensitivity Analysis of an
       Conditioner Compressor Mounting Bracket             Engine Mount System using the Transfer
       in a Passenger Car, SAE TECHNICAL                   Function       Synthesis     Method,      SAE
       PAPER SERIES, 2003-01-1667                          TECHNICAL,PAPER SERIES, 2001-01-
 [3]   Hong Suk Chang, A Study on the Analysis             1532.
       Method for Mounting Brackets, SAE            [8]    K.S. Raghavan, T. Howard, J. Buttles, TX
       TECHNICAL,PAPER SERIES, 2006-01-                    N. Law, Weight Reduction of Structural
       1480                                                Vibration Isolation Hydro-Mount Bracket
 [4]   Michael Champrenault and Clayton A.                 through Design Analysis and Use of
       Maas, Jack Cunningham, Magnesium                    Advanced High Strength Steels, SAE
       Powertrain    Mount     Brackets:    New            TECHNICAL,PAPER SERIES, 09M-0168.
       Application of Material Being usedin this    [9]    R SINGH, Dynamic design of automotive
       Sub-System for VehicleMass Reduction,               systems: Engine mounts and structural
       SAE TECHNICALPAPER SERIES, 2007-                    joints, , Vol. 25, Part 3, June 2000, pp. 319-
       01-1031                                             330
 [5]   Xiao-Yong Pan and Doni Zonni,Tuopu           [10]   H. Muhammad, Muhardi, W. Kuntjoro and
       Group,Guo-Zhong Chai, Yan-Qing Zhao                 B.E. Sritjahjono, In- flight thrust
       and Cui-Cui Jiang, Structural Optimization          determination by load measurement on the
       for   Engine Mount        Bracket,   SAE            engin mounting system, ICAS 2000
       TECHNICAL,PAPER SERIES, 2007-01-                    CONGRESS,2000.
       2419.




                                                                                         1979 | P a g e

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  • 1. Sahil Naghate, Sandeep Patil / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 2, Issue4, July-August 2012, pp.1973-1979 Modal Analysis of Engine Mounting Bracket Using FEA Sahil Naghate*, Sandeep Patil** *Department of Mechanical Engineering, Marathwada Institute of Technology, Aurangabad, Maharashtra, India. ** Department of Mechanical Engineering, Marathwada Institute of Technology, Aurangabad, Maharashtra, India. Abstract The engine mounting plays an important Automobile engine-chassis-body system may role in reducing the noise, vibrations and undergo undesirable vibrations due to disturbances harshness for improving vehicle ride comfort. from the road and the engine. The vibrations induced The first and the foremost function of an engine by the road or the engine at idle are typically at the mounting bracket is to properly balance the frequencies below 30Hz. In order to control the idle power pack (engine &transmission) on the vehicle shake and the road-induced vibrations, the engine chassis for good motion control as well as good mount bracket should be stiff and highly damped. On isolation. the other hand, for a small amplitude excitation over the higher frequency range (30- 250Hz) from the Present work deals with FEA analysis of engine, a compliant and lightly damped mount engine mounting bracket. It includes the modeling bracket is required for vibration isolation and of the engine mounting brackets by changing the acoustic comfort. So, the engine mount bracket must material of component. Materials selected are satisfy these two essential criteria Aluminum alloy and magnesium alloy. Analysis includes Static and Modal Analysis of engine In diesel engines the engine mounting is one mounting bracket using Square Cross section. The of the major problems. Due to the Un-throttled study shows that this bracket will have a dramatic condition, and higher compression ratio of the diesel weight reduction compare to standard aluminum engine, the speed irregularities particularly at low alloy material and withstand high stress. Speed and Low load conditions and are significantly higher than gasoline engines. Thus this results in Keywords- Engine, Mounting, FEA, Modal vibration excitation. Due to vibration of engine the Analysis. holes on the engine mounting Bracket get enlarged which results in the failure of bracket. By optimizing the thickness and shape of major mounting points I. INTRODUCTION made it possible to design a vehicle with optimized The need for light weight structural weight and performance at initial designing stages materials in automotive applications is increasing as [1]. Studies shows that the brackets saved 38% mass the pressure for improvement in emissions and fuel (0.86 kg the expected and resultant benefit is economy increases. The most effective way of different for each application. Range of savings are increasing automobile mileage while decreasing 20% to 38% in the authors’ experience to 0.53 kg) emissions is to reduce vehicle weight. The [4]. Structural optimization is an effective tool to magnitude of the production volumes has obtain an optimum design. Comparison in terms of traditionally placed severe requirements on the weight and component performance illustrates that robustness of the processes used in manufacturing. structural optimization techniques are effective to The strong emphasis on the cost has demanded the produce higher quality products at a lower cost [5]. component manufacturers to improve the Dynamic analysis of vehicle components and systems performance of their materials and to find the is now an integral part of the engineering design methods to deliver these materials at reduced cost. process in the automotive industry [9]. The topology There are a number of noise and vibration sources based design is used in the conceptual design phase that affect the vehicle body. The noise and vibration and then, the shape optimization is subsequently occur because the power that is delivered through employed using initial optimal topology. bumpy roads, the engine, and suspension result in the resonance effect in a broad frequency band. The ride The objective is to do a modal analysis of and noise characteristics of a vehicle are significantly the engine bracket to determine whether the current affected by vibration transferred to the body through design has a natural frequency which is lower than the chassis mounting points from the engine and the excitation frequency of the engine bracket, in suspension. It is known that body attachment which case the design will be considered safe. Once stiffness is an important factor of idle noise and road safety of the design is established, and then noise for NVH performance improvement. The optimization will be done material Optimization: The 1973 | P a g e
  • 2. Sahil Naghate, Sandeep Patil / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 2, Issue4, July-August 2012, pp.1973-1979 design will be tested for different materials, PRE PROCESSING: Aluminum and magnesium alloy, and suitability of The pre-processing of the engine mounting material will be tested. bracket is down for the purpose of the dividing the problem into nodes and elements, developing II. METHODOLOGY equation for an element, applying boundary BASIC STEPS IN THE FEA conditions, initial conditions and for applying loads. The basic steps involved in any finite The information required for the pre-processing stage element analysis consist of the following of the bracket is as follows,  Material properties: The values of young’s PREPROCESSING PHASE modulus, poisons ratio, density, yield strength for Aluminium and magnesium are taken from material library of the FEA PACKAGE. At the point only one material is selected at a time, which SOLUTION PHASE is sufficient to show that a change of material is made depending upon the analysis results. Meshing: A solid element mesh is required to be POSTPROCESSING PHASE generated. The meshing of the mounting bracket is done as hex mesh for steel, for Aluminium and for magnesium also. Fig.1. FEA process  Loads: Specific values of load are implemented for a typical mounting bracket. The load is taken as 1000N which is considerable as the distributed STATIC STRUCTURAL ANALYSIS weight of the engine is less than this value. Load is A static structural analysis is the analysis applied at the three holes of the engine mounting displacements, stresses, strains and forces on bracket, which are connected to the engine structure or a component due to load application. The structure with the help of rigid elements such as nut structures response and loads are assumed to vary and bolts. slowly with respect to time. There are various types  Constraints: The nodes around the bracket of loading that can be applied in this analysis which mounting holes have a rigid element connecting are externally applied forces and pressures, and them to the centre of the hole which has of its temperatures. A static structural analysis can either degree of freedom fixed. The element which is be linear or non linear. used to fix engine mounting bracket and body of the vehicle is fixed and used as a rigid element. MODAL ANALYSIS  The FE mesh together with the loads and Modal analysis determines the vibration constraints is made in the meshing environment. characteristics of a structure or a particular The minimum and maximum are set, together with component in the form of natural frequencies and other mesh parameters such as element type and mode shapes. From this analysis we can do more material. The selected object is ready for further detailed dynamic analysis such as transient dynamic analysis. analysis, harmonic analysis or spectrum analysis. The natural frequencies and mode shapes are important in POST PROCESSING: the design of a structure for dynamic loading The acceptability of the design of the engine conditions. In this analysis, only linear behavior is mounting bracket needs to be considered from the valid. Damping is not considered and applied loads results of the analysis. The guidance for the are ignored in modal analysis. A static structural modification of the bracket need to be available if the analysis is required first for performing pre stressed design is not considered to be acceptable for the modal analysis. engine mounting bracket are as follows. 1) Model acceptance criteria: the maximum von- The analysis of many engineering and Mises stress must be less than the material yield automotive components is done with the help of strength for the duration of the component. The finite element techniques. These analysis are very deflection is considered and the maximum Von- helpful for approving or making some design changes Mises stress must be less than the yield strength for during the post processing stage. The design changes abuse load case. mainly depend on the product life cycle and helps 2) Design modification criteria: the modifications are design engineers or the analysts to finales dimensions made if the design is not acceptable, such as and material of the components. This analysis of an increasing fillet, increasing material thickness and engine mounting bracket is done with the help of altering material specifications. The output in the FEA software. form of the stress value is generated, when the analysis has been completed. This output data in the form of figures is then checked for determining 1974 | P a g e
  • 3. Sahil Naghate, Sandeep Patil / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 2, Issue4, July-August 2012, pp.1973-1979 the relevant information and compared with the Young’s modulus – 7.1e+10 N/m2 acceptance criteria. Poisson’s ratio – 0.33 3) Result interpretation: from the results of the Density – 2770 Kg/m3 analysis the engineer required to understand the Yield strength in tension & compression – 2.8e+8 failure criteria for the particular component. N/m2 4) The Design Failure Criteria: maximum allowable deflection, maximum allowable stress is required to Stress analysis: be known and documented. For this purpose the Stress analysis of the engine mounting values of the Von-Mises stress is considered. There bracket is carried out by fixing the bracket at the is also a requirement for recognizing the effect of large size end which is fixed to the vehicle body. the analysis on the engine mounting bracket due to Then the load is applied at the other end of the load applied. bracket for the purpose of static structural analysis. ALUMINUM: Aluminum has only about one third the density of steel and the most commercial Aluminum alloys posses substantially higher specific strength than steel. A vehicle weight reduction would not only result in higher oil savings, but also gives a significant reduction in emission. For these reasons there is preference to use more Aluminum and replace steel in automotive applications. But there are several obstacles in implementation of Aluminum in automotive industry. Some of these are,  The forming limits of Aluminium are significantly lower than the steel. There are several chances of Aluminium to tearing at Fig 2: Meshed Model bends. This limits the shapes that can be fabricated and slows die design, die tryout and applications. Von-Mises stresses can be derived from the  Spring back problem is more in thicker sheets static analysis of structure. As shown in figure 3 the of Aluminium and it is hard to keep von mises stresses plots are taken. As seen from these dimensional tolerances. plots of stress we can see that maximum stress of the  Traditional vehicle body manufacturing value 26.758 MPa is found out at the bracket which is technology implementing stamped sheet steel fixing the bracket and the vehicle structure. This is component cannot be sufficiently improved to due to the load concentration at the fixed point. meet future vehicle requirements because of the higher weight of the steel and the high cost and more time required for stamping tool development. The analysis of the engine mounting bracket is done with the help of FEA PACKAGE software. In this process first the material selection done from the engineering data sheet of the FEA PACKAGE software. Then the meshing of the component is done from the MESH function of the software. The importance of the meshing in the whole process of analysis is very important from the point of result Fig.3 Von-mises stress plot Fig 4: Deformation of implementation. The element used in the meshing is Bracket solid 186 which are 20 node brick, hexagonal in shape and very good for the deformation problems. Above figure 4, shows the deformation of The size and shape of the meshing is the factor which the engine mounting bracket, when the load is specifies the method of solution of FE problem in the applied at the side of bracket which is towards the any FEA software. By the process of refining, which engine connection. As seen from the deformation plot is nothing but the changing the size of the mesh deformation is more at the end of the bracket due to accurate result can carry out. the maximum load application is at this side of the Aluminum Alloy bracket. The deformation of this part is 1.6258 mm, Aluminum alloy under consideration has which can be seen from the above result. The following material properties: deformation plot shows the variation in values from 1975 | P a g e
  • 4. Sahil Naghate, Sandeep Patil / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 2, Issue4, July-August 2012, pp.1973-1979 fixed side to the engine side of bracket. It is conclude that the maximum value deformation is minimum at the fixed side and highest on the engine taking place at the bottom side of the bracket side. connected to the engine. The frequency of vibration for this particular mode is 322.78 Hz. MODAL ANALYSIS: The modal analysis of the engine mounting bracket is carried out for determining natural frequencies and shapes of the natural vibration modes. These frequencies are the outputs given by the analysis of the engine mounting bracket. Fig 9: Fifth mode of vibration Fig 10: Sixth mode of vibration As seen from the above figure 9 the values of deformation increasing minimum to maximum from the end which is connected to the vehicle structure to the end of engine. The maximum value of Fig 5: First mode of vibration Fig 6: Second mode of deformation is seen at the ends of engine. The vibration frequency of vibration for this particular mode is 462.57 Hz. From the above plot (figure 10) of the From the above plot (figure 6) of the total total deformation of the engine mounting bracket we deformation of the engine mounting bracket we can can conclude that the maximum value deformation is conclude that the maximum value deformation is taking place at the bottom side of the bracket taking place at the side of the bracket connected to connected to the engine. The frequency of vibration the engine. This is due to the fact that vibrations are for this particular mode of vibration is 630.5 Hz. going to act on this part of the bracket. The deformation for the other side which is fixed to the ALTERNATIVE MATERIAL “MAGNESIUM body of the vehicle is almost zero for some part of it. ALLOY” The frequency of vibration for this particular mode of Magnesium is the lightest of all metals used the bracket is 142.78 Hz. as the basis for constructional alloys. It is this property due to which automobile manufactures has to replace denser materials, not only steels, cast irons and copper base alloys but even Aluminum alloys by magnesium base alloys. The requirement to reduce the weight of car components as a result in part of the introduction of legislation limiting emission has triggered renewed interest in magnesium. A wider use of magnesium base alloys necessitates several parallel programs. These can be classified as alloy development, process development improvement and Fig 7: Third mode of Fig 8: Fourth mode design considerations. The requirement to reduce the vibration of vibration weight of car components as a result in part of the introductions of legislation limiting emission has The third mode of vibration of the engine triggered renewed interest in magnesium. mounting bracket is seen in the plot (figure 7) for modal analysis. The part towards the engine of the The advantages of magnesium alloys are vehicle is not deformed too much, but from this point listed as follows, lowest density of all metallic to the side of the bracket which is fixed to the vehicle constructional materials. It posses high specific structure is varying with deformation. The higher strength, good cast ability, which suitable for high value of deformation is at the upper corner of the pressure die casting good welding properties, higher bracket. The side towards the vehicle structure is corrosion resistance. Also compared with polymeric largely deformed as seen from the figure. The materials it posses better mechanical properties, frequency of vibration for this particular mode is better electrical and thermal conductivity and it is 213.26 Hz. recyclable. The requirement to reduce the weight of From the above plot (figure 8) of the total car components as a result in part of the introduction deformation of the engine mounting bracket we can of legislation limiting emission has triggered renewed 1976 | P a g e
  • 5. Sahil Naghate, Sandeep Patil / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 2, Issue4, July-August 2012, pp.1973-1979 interest in magnesium. The application of die cast the other side after some definite intervals. The magnesium for automobile components produced in frequency of vibration for this particular mode of the large quantities is the one method for reducing bracket is 75.261 Hz. vehicle weight. But these components must be cost competitive with material and processes in current manufacturing and gives high qualities to ensure adequate mechanical properties. One of the reasons for the limited use of magnesium has been some poor properties exacerbated by a lack of development work. It is not possible to use conventional alloying techniques to improve some of the properties, e.g. elastic constants. The solubility of alloying elements in magnesium is limited, restricting the possibility of Fig 13: First mode of vibration Fig 14:Second mode of improving the mechanical properties and chemical vibration behavior. The crystal structure of magnesium is hexagonal which limited its inherent ductility. From the plot (figure 14) of the total deformation of the engine mounting bracket we can Magnesium Alloy conclude that the maximum value deformation is Magnesium alloy under consideration has following taking place at the side of the bracket connected to material properties the engine. This is due to the fact that vibration is Young’s modulus – 4.5e+10 N/m2 going to act on this part of the bracket. The Poisson’s ratio – 0.35 deformation for the other side which is fixed to the Density – 1800 Kg/m3 body of the vehicle is almost zero for some part of it. Yield strength in tension and compression – The deformation goes on increasing from the fixed 1.93e+8 N/m2 end towards the side of the engine. The frequency of vibration for this particular mode of the bracket is Stress Analysis 140.6 Hz. As shown in the figure 11) lot of the total deformation of the engine mounting bracket we can conclude that the maximum value deformation is taking place at the bracket connected to the engine. This is the fact that maximum load and vibrations are going to act on this part of the bracket. The highest value deformation takes place on this side which is having value of 2.5696 mm. the deformation for the other side which is fixed to the body of the vehicle, is almost zero for some part of it. The deformation goes Fig 15: Third mode of Fig16: Fourth mode of on increasing from the fixed end towards the side of vibration vibration the engine. The third mode of vibration of the engine mounting bracket is seen in the plot (fig 15) for modal analysis. The part towards the engine of the vehicle is not deformed too much, but from this point to the side of the bracket which is fixed to the vehicle structure is varying with deformation. The higher value of deformation is at the upper corner of the bracket. The side towards the vehicle structure is largely deformed as seen from the figure above. The frequency of vibration for this particular mode is Fig 11: Total deformation Fig 12: Stress distribution 210.62 Hz. From the above plot (figure 16) of the total MODAL ANALYSIS: deformation of the engine mounting bracket we can It can be seen from the below plot of the conclude that the maximum value deformation is deformation of the engine mounting bracket the taking place at the bottom side of the bracket deformation is maximum at the end part which is connected to the engine. The frequency of vibration connected to the engine of the vehicle. The maximum for this particular mode is 318.52 Hz. As seen from value of the deformation is less at the end which is the figure 17 the values of deformation increasing connected to the vehicle, which can be said at a fixed minimum to maximum from the end which is one. The deformation increases from the fixed end to connected to the vehicle structure to the end of 1977 | P a g e
  • 6. Sahil Naghate, Sandeep Patil / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 2, Issue4, July-August 2012, pp.1973-1979 engine. The maximum value of deformation is seen at Table-3: Frequency comparison for Aluminum and the of engine. The frequency of vibration for this magnesium Alloy’s particular mode is 455.91 Hz. The need for low weight materials in the vehicle is driving automobile manufacturers to look to new material for use in their products. Some studies suggest that 4.5 to 6% fuel efficiency can be gained for every10% reduction in vehicle weight. The typical magnesium alloy cast part, is lighter compare to Aluminum or steel part. Comparison between steel, Aluminum’s and magnesium can be done for the material of the engine mounting bracket as follows, RESULTS AND DISCUSSION STRESS ANALYSIS: Graph: Magnesium Alloy Graph: Aluminum Alloy Aluminum Magnesium alloy alloy From above graphs we can conclude that the Von-Mises 26.758 Mpa 26.483 Mpa convergence of a frequency for magnesium material stress(max) is good. The first excitation frequency value for Total 1.6258 mm 2.5696 mm magnesium is higher than that of excitation frequency deformation range of engine. (max) CONCLUSION Table 2: Stress Analysis for Engine Mounting Bracket The finite element analysis tool has been used to analyze the engine mounting bracket using It can be seen from the above results that the CAE Package. This work is a contribution to the value of the stress on the Aluminum bracket is not development of new material for engine mounting varying too much than the stress value of magnesium bracket. The results obtained for the static structural bracket for the same load. This is because of the fact and modal analysis have shown that the magnesium that the area and force for both brackets are same. is better than aluminum. From the results it can be The values of the total deformation are varying in seen that the magnesium bracket is safe for the some large values. This is due to difference in the required application. density of the materials. The main advantage of the magnesium engine mounting bracket is its light weight. It will MODAL ANALYSIS help in decreasing the weight of the power train The values of frequencies are nearly same assembly, which can increase fuel efficiency. for gray cast iron, Aluminum and magnesium Magnesium is recyclable; therefore it is an eco bracket. The first excitation frequency value for friendly material. The magnesium bracket can be magnesium is higher than that of excitation frequency manufactured with less amount of time and it posses range of engine (1-150 HZ). longer life compared to an aluminium bracket. The magnesium bracket is less susceptible to corrosion; Frequency Aluminum Magnesium therefore they are better for the application of alloy in Alloy in Hz bracket. The main problem of using magnesium Hz instead of aluminum is its higher cost; but recent First 76.121 75.108 studies have shown that the difference between costs Frequency of aluminium and magnesium is decreasing. Also if the use of magnesium in industries increases, its Second 142.78 140.6 manufacturing cost will be definitely reduced. Frequency Third 213.26 210.62 Thus it can be concluded that magnesium Frequency can be preferred over aluminum as a material for an Fourth 322.78 318.52 engine mounting bracket. Research in the direction of Frequency implementing magnesium engine mounting bracket Fifth 462.57 455.91 instead of aluminum bracket has also proved that Frequency magnesium brackets are better in various operating Sixth 630.5 622.94 conditions. Frequency 1978 | P a g e
  • 7. Sahil Naghate, Sandeep Patil / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 2, Issue4, July-August 2012, pp.1973-1979 REFERENCES [6] Guizhi Sun, Minxiang Wei, Jinju Shao and Man Pei, Automotive Powertrain Modeling [1] Kichang Kim and Inho Choi, Design and Simulation Based on AMESim, SAE Optimization Analysis, SAE TECHNICAL, TECHNICAL,PAPER SERIES, 2007-01- 2003-01-1604 3464. [2] Doo-Ho Lee, Jeon, Woo Chang, Chan-Mook [7] Doo-Ho Lee, Woo-Seok Hwang, Chan- Kim, Optimal Shape Design of an Air- Mook Kim, Noise Sensitivity Analysis of an Conditioner Compressor Mounting Bracket Engine Mount System using the Transfer in a Passenger Car, SAE TECHNICAL Function Synthesis Method, SAE PAPER SERIES, 2003-01-1667 TECHNICAL,PAPER SERIES, 2001-01- [3] Hong Suk Chang, A Study on the Analysis 1532. Method for Mounting Brackets, SAE [8] K.S. Raghavan, T. Howard, J. Buttles, TX TECHNICAL,PAPER SERIES, 2006-01- N. Law, Weight Reduction of Structural 1480 Vibration Isolation Hydro-Mount Bracket [4] Michael Champrenault and Clayton A. through Design Analysis and Use of Maas, Jack Cunningham, Magnesium Advanced High Strength Steels, SAE Powertrain Mount Brackets: New TECHNICAL,PAPER SERIES, 09M-0168. Application of Material Being usedin this [9] R SINGH, Dynamic design of automotive Sub-System for VehicleMass Reduction, systems: Engine mounts and structural SAE TECHNICALPAPER SERIES, 2007- joints, , Vol. 25, Part 3, June 2000, pp. 319- 01-1031 330 [5] Xiao-Yong Pan and Doni Zonni,Tuopu [10] H. Muhammad, Muhardi, W. Kuntjoro and Group,Guo-Zhong Chai, Yan-Qing Zhao B.E. Sritjahjono, In- flight thrust and Cui-Cui Jiang, Structural Optimization determination by load measurement on the for Engine Mount Bracket, SAE engin mounting system, ICAS 2000 TECHNICAL,PAPER SERIES, 2007-01- CONGRESS,2000. 2419. 1979 | P a g e