SlideShare a Scribd company logo
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
_______________________________________________________________________________________
Volume: 05 Issue: 01 | Jan-2016, Available @ http://www.ijret.org 293
VIBRATION ANALYSIS OF CI ENGINE USING FFT ANALYZER
Namdev A. Patil1
, Laukik P. Raut2
1
Student, M. Tech CAD/CAM, G. H. Raisoni College of Engineering, Nagpur, India
namdevpatil007@gmail.com
2
Assistant Professor, G. H. Raisoni College of Engineering, Nagpur, India
rautlaukik@gmail.com
Abstract
In automobile industry, the vibrations generated in the IC engine affects the performance of the vehicle and quality of comfort
while riding the vehicle. The factors which are affected under continuous vibration of IC engine are drivability, stability and
comfort. All these factors are reducing while there is an increase in vibrations produced by the engine. Reciprocating as well as
rotating parts of the engine are producing vibrations continuously in the internal combustion engine. The inertial forces are
produced by these reciprocating and rotating parts. These inertial forces are changing with compression and combustion
characteristics inside the engine. The vibrations produced by the engine can be minimized by reducing those unbalanced forces
generated during its functioning, otherwise anti vibration mounts are placed in between engine and its base. Many researchers
have performed experimentations to see reasons behind the vibration generations also to reduce vibrations at interface between
engine and its base. In this paper a thorough collection of data related to engine vibrations is made to provide a platform for
future work. It encompasses various work carried on engine rigid body modeling. The paper is framed as engine rigid body
modeling, engine vibrations in detail and at last some experimental work performed on a single cylinder diesel engine to measure
vibrations using FFT spectrum analyzer.
Keywords: Internal Combustion Engine, Engine Rigid Body, Vibration , FFT Analyzer.
--------------------------------------------------------------------***----------------------------------------------------------------------
INTRODUCTION
The internal combustion engine design, itself is a complex
task as it includes multiple parts of various sizes assembled
together. The internal combustion engine is required to be
designed carefully so that the unbalanced forces generated
by the engine parts are reduced. If the design is not optimum
it will generate more vibrations and are transmitted to
supporting structure. It affects driver stability, drivability
and comfort. Taking into account the consumer aspirations
and surrounding considerations vibration reduction is at
most important phenomenon. Four major causes for overall
vibration behavior of IC engine are variation in gas pressure
in each cycle, impact forces due to reciprocating parts,
unbalanced rotating and reciprocating parts and mount
structural characteristics. During working of engine speed,
load on the engine is varying depending upon need. Due to
which fuel supply and combustion characteristics also
changes. Major components of an IC engine are
continuously having relative motion in between them. The
inertial forces changes with respect to compression and
combustion variation inside the cylinder. It is definite that
inertial forces give rise to unbalanced forces and they are
fluctuating with speed of the engine, fuel supplied and
combustion characteristics of the fuel. Hence for fulfilling
consumer satisfaction and calculate the vibration output and
its minimization, a mathematically accurate design model
along with its simulation is at most required.
IC engine produces mainly two types of vibrations i.e.
longitudinal and torsional vibrations. In which reciprocating
behavior of the engine results some torsional vibration
continuously. In compression stroke when piston moves
towards top dead centre the cylinder pressure increases. As
then ignition and combustion of the fuel occurs pressure
again increases and then pressure reduce with piston
movement towards bottom dead centre. The pressure
generated due to combustion of fuel exerts tangential force
on the piston that does required work and crankshaft speed
increases. So the crankshaft speed is increases in
combustion stroke where as decreases during compression
stroke respectively. This changing speed of the crankshaft
gives rise to torsional vibrations for crankshaft. Thus the
change in combustion pressure during downward motion
and changing inertial motion during upward motion of the
piston gives rise to unbalanced forces on the engine block.
These are considered to be responsible for generating the
longitudinal vibrations and these are measured in three
perpendicular directions. These above discussed main two
types of the vibrations can be minimized by reducing
unbalanced forces also by putting mounts.
Thus to measure and minimize the engine vibrations a
dynamic approach is needed. To discuss various methods
used and the assumptions used a collection is done on
engine as a rigid body, and its vibrations. The discussion
followed by an experimental analysis. The experimentation
is conducted on a single cylinder diesel engine.
1. ENGINE AS A RIGID BODY
In the internal combustion engine there are various parts
such as piston, engine block, connecting rod, engine head,
crankshaft, cam shaft, flywheel, valves, pulleys etc. Among
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
_______________________________________________________________________________________
Volume: 05 Issue: 01 | Jan-2016, Available @ http://www.ijret.org 294
all these parts few parts are taken as vibration generating
parts by the research scholars and industry experts. There
are four major components which generate vibrations by
producing unbalanced forces during cycle are piston,
crankshaft, engine block and connecting rod. As these
components are interconnected with each other, produced
unbalancing forces are passed to the engine parts such as
building block of engine and to the contacting structure.
Many researchers developed and studied various
mathematical rigid body models to calculate the unbalanced
forces during engine cycle, by making use of multibody
modeling. Hoffman and Dowling [1] performed thorough
experimentation on the diesel engine with six cylinders to
calculate vibrational force components in three orthogonal
directions at three engine mounts. Hoffman and Dowling [2]
evolved seven DOF model for engine vibrations with low
frequency, which assumes two way coupling. Finally they
have compared results of this with model having one way
coupling assumption. Hoffman and Dowling [3] managed to
get a model with 7 DOF which is conserving energy also it
is giving features of overall IC engine vibration output.
Deana M. Winton and Dowling [4] performed an
experiment with 6 cylinder diesel engine to measure
vibrations of engine building block with its rigid body
analysis. Zeng-Dong Ma and Perkins [5] found the motion
equations used for important parts of the IC engine by using
method of recursive formulation. They prepared computer
program by using C language and FORTRAN sub routines
to derive the equations of motion automatically. Tsuneo T.
and Tetsuya S. [6] gave a vibration reduction method during
idling condition of a heavy duty truck engine. They have
developed FEA model of full engine vibrations. T.
Ramachandran et al. [7] used ant colony optimization
method for the minimization of the internal combustion
engine forces and displacements. They considered a four
cylinder IC engine as a rigid body. Mathematical model is
developed and forces and displacements are minimized by
optimizing the crank angles.
The internal combustion engine looks simple but it is highly
complicated machine containing hundreds of components
which have to perform its functions satisfactorily to produce
required power output. In such a complicated machine while
it is running components have relative motion with respect
to each other producing internal vibrations. The collective
effects of these relative motions are also responsible for
external vibrations of the internal combustion engine as a
whole. Here by using the concept of rigid body modeling the
internal vibrations can be excluded and focus will be on
external vibrations only. The experimentation included in
this paper to obtain vibrations of a single cylinder diesel
engine and its results can be compared with vibrations
obtained by using dynamic analysis of engine as a rigid
body.
2. ENGINE VIBRATION
IC engine composed of various parts produces vibratory
forces which are as a result of the uneven forces as of the
engine components throughout the operation. Engine
produces longitudinal as well as torsional vibrations at the
engine supports. Engine loads and changing combustion
pressures produces torsion vibration at crankshaft of engine.
Longitudinal vibrations at the engine block are produced
with reciprocating as well as rotating sub parts of the engine.
Chung Ha et al. [8] developed a simplified method to get
vibration amplitudes generated by a four cylinder engine
which is supported on a viscoelastic mounts, by modeling
engine components as rigid body connected to rubber
mounts. Snyman et al. [9] provided method of reduction of
engine vibration in a 4 cylinder mounted IC engine. They
developed a mathematical model by taking lead angles and
balancing masses as propose independent variables and the
intended function is vibrating forces transmit to the mounts
at engine base. The method used to lessen the intended
function. Zhang Juhong and Han Jun [10] found change in
engine design for a totally new engine which could lessen
noise with low frequency and the vibration lower than the
presented production also optimizing its noise as well as
vibration characteristics. P. Charles et al [11] studied a fault
detection technique for an internal combustion diesel engine
depending on torsional vibration of crank shaft inside the
engine. In this paper scholars make use of encoder signal to
check speed of a shaft and produced the instantaneous
angular speed (IAS) waveform. They supervised a 16
cylinder diesel engine by using IAS and FFT (Fast Fourier
Transform). They found that FFT improves signal
processing to get the IAS signals. Fredrik Otsman et. al. [12]
have given method of reducing torsional vibration during
running of a common railway diesel engine of reciprocating
type. They found that no uniform torque would be the
reason behind greater than before torsional vibration and
stresses developed inside various parts of the IC engine.
They finally concluded that this active cylinder scheme
reduces the torsional vibrations. Rajendran and Narasimhan
[13] have focused on combined torsional as well as
vibrations with no bending mainly in the single cylinder
engine crankshaft. They have developed finite element
models and concluded that the introduction of inertial
coupling affects the free vibrations characteristics. Under
such circumstances they have concluded that in modeling of
crankshaft, the pure torsional system may have considerable
errors. H. Ashrafioun et al. [14] have looked on response in
terms of frequency for a engine of aircraft to measure
exciting forces. The transmitted forces minimization was
critical as far as location, orientation and type of mount is
concerned. They have also considered most of the
applicable Vibration Isolation Systems. Conti and Bretl [15]
have created a totally renovated method for getting the
investigative model of rigid body on its supportive mounts
and a way for data acquisition system. Using external
impact excitation in a vibration analysis test through mounts
they found mass of a engine rigid body yielding properties
and mounts stiffness properties from data extracted during
experimentation. They have evaluated location of centre of
gravity, mass moment, principle axes of inertia as well as
triaxial stiffness for mounts with mass of complete system.
Nader Vahadati and L. Ken Laudrebaugh Saunders [16]
have tested a machine with high frequency performance
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
_______________________________________________________________________________________
Volume: 05 Issue: 01 | Jan-2016, Available @ http://www.ijret.org 295
using rubber mounts. They have presented a mathematical
comprehensive model of a test machine having large
frequency. They have compared outputs of both
mathematical model and simulation at the frequency of 5000
Hz. Accordingly they implemented changes in design of
fixtures, mass and mounts as well. They found that the
designed fixture should be of minimum weight.
By looking into the different methods of vibration analysis
of above discussed research scholars, a vigorous and
accurate mathematical model and with simulation is
required to cover gap between vibration modeling and its
isolation from its base. The internal combustion engine itself
is a complicated design containing many components; at
most care is required in developing such multibody
modeling and simulation.
3. EXPERIMENTATION
In the experimentation the longitudinal vibration
acceleration signatures are measured in three orthogonal
directions X, Y and Z directions respectively on a single
cylinder Kirloskar diesel engine by using FFT spectrum
analyzer setup. In the experimentation while taking readings
an acceleration transducer having piezoelectric sensor is
used, this is placed at three different locations to get
signatures in X, Y and Z directions. All vibrations measured
are for 100% diesel fuel that is without blending with any
kind of biodiesel. While taking readings diesel engine is run
idle for 2 minutes without load and then readings are taken.
As the test rig is attached to the engine other observations
are also taken and enlisted in the table.
Parameters focused in the experimentation are as follows:-
 Mainly Rotating and Reciprocating members produces
Unbalanced Inertial Forces, Torsion are responsible for
vibration generation.
 Independent parameters used in the experimentation
are as follows:
• Load on the engine.
 Output parameter measured is Vibration Acceleration
Signatures.
 Also some other measurements on test rig are :-
• Speed of the engine.
• Fuel Rate.
• Air flow rate inside the engine.
• Temperature of Exhaust gas.
The loading on the engine is done by using Eddy current
Dynamometer. The load is increased in the steps zero, five,
ten percent and so on up to thirty percent. Due to engine
operating constraints the load is not increased above thirty
percents.
Figure 1. Schematic Line Diagram of Experimental Setup
Equipments used in the experimentation are enlisted below
:-
1. Single Cylinder Diesel Engine
2. OR3X Analyzer
3. PC with NV Gate Software installation
4. Ethernet link
5. Transducer: Piezoelectric Accelerometer
6. Tachometer
Engine Specifications Details are as follows:-
1. Kirloskar Single Vertical Cylinder Diesel Engine
Power = 18 BHP (7.4 KW)
Loading = Eddy Current Dynamometer.
Maximum Torque = 32 Nm
Stroke = 116 mm
Compression Ratio = 17.5:1
Engine speed rpm = 1500
Bore = 102 mm
Specific Fuel Consumption = 0.251 kg/ Kw-hr.
2. FFT Analyzer Specifications:
OR3X Analyzer
OROS 3 Series / NV Gate software
3. Accelerometer with Piezoelectric Sensor
4. Digital Tachometer
RMS Acceleration = Square root (summation of square of
amplitudes divided by no. of observations).
Table 1. Observation Table
Measurement
No.
Load%.
TorqueN-m.
SpeedRPM.
FuelRate
Kg/Hr.
AirRate
m^3/Hr.
Exhaust
Temp.In0
C.
1 0 0 1550 0.78 46 256
2 5 1.6 1541 0.78 37 286
3 10 3.2 1535 0.84 66 307
4 15 4.8 1530 0.96 122 338
5 20 6.4 1523 1.14 130 365
6 25 8.0 1515 1.38 137 410
7 30 9.6 1490 1.50 150 489
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
_______________________________________________________________________________________
Volume: 05 Issue: 01 | Jan-2016, Available @ http://www.ijret.org 296
Vibration acceleration signatures are obtained and root mean
square acceleration values are measured.
Longitudinal Vibrations in Y Direction:
Figure 2. Time vs Acceleration measurement 1 in Y
direction
Figure 3. Frequency vs Acceleration Measurement 1 in Y
direction
Figure 4. Time vs Acceleration Measurement 2 in Y
direction
Figure 5. Frequency vs Acceleration Measurement 2 in Y
direction
By taking the signatures of acceleration, vibration behavior
in Y direction is observed. Observations for vibrations in Y
direction are:
• The vibrations amplitude ranging from 50- 130 m/s2
.
• Peak value of acceleration = 130m/s2
.
• RMS Acceleration amplitudes are 61.5, 48.8, 46, 44.5,
42.4, 42m/s2
.
• Highest acceleration amplitudes are at 1500 Hz, 2700Hz,
3300Hz, 3200 Hz, 2600 Hz, 15 Hz, and 700 Hz with
increasing loads.
• Amplitude of vibration are directly varying with respect
to load.
• As the speed of engine decreases, amplitude of vibration
decreases.
• As Fuel rate increases there is decrease in vibration
amplitudes.
Longitudinal vibrations in X direction:
Figure 6. Time vs Acceleration Measurement 1 In X
direction
Figure 7. Frequency vs Acceleration Measurement 1 in X
direction
Figure 8. Time vs Acceleration Measurement 2 in X
direction
Figure 9. Frequency vs Acceleration Measurement 2 in X
direction
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
_______________________________________________________________________________________
Volume: 05 Issue: 01 | Jan-2016, Available @ http://www.ijret.org 297
By taking the signatures of acceleration, vibration behavior
in X direction is observed. Observations for vibrations in X
direction are:
• The vibrations amplitude ranging from 30 - 110 m/s2
.
• Peak value of acceleration = 110m/s2
.
• RMS Accelerations are 69.3, 74.9, 78.4, 82.73, 83,
83.43, 83.43m/s2
.
• Highest acceleration amplitudes are at 4300 Hz, 4800Hz,
3300Hz, 4900 Hz, 200 Hz, 2100 Hz, and 700 Hz with
increasing loads.
• Here also increasing load gives increase in vibration
amplitudes.
• In this case engine speed decreases then amplitude of
vibration increases.
• Vibrations of the engine increases in Z direction as the
Fuel Rate is increasing.
Longitudinal vibrations in Z direction:
Figure 10. Time vs Acceleration Measurement 1 In Z
direction
Figure 11. Frequency vs Acceleration Measurement 1 in Z
direction
Figure 12. Time vs Acceleration Measurement 2 In Z
direction
Figure 13. Frequency vs Acceleration Measurement 2 in Z
direction
By taking the signatures of acceleration, vibration behavior
in Z direction is observed. Observations for vibrations in Z
direction are:
• The vibrations amplitude ranging from 30- 105 m/s2.
• Peak value of acceleration = 105m/s2.
• RMS Accelerations are 67.17, 74.95, 75.66, 76.36,
77.78, 77.8, 78 m/s2.
• Highest acceleration amplitudes are at 200 Hz, 4250Hz,
3700Hz, 2600 Hz, 5000 Hz, 2100 Hz, 3500 Hz
frequencies with increasing loads from 0 to 30 percents.
• Load on engine increased then amplitude of vibration
also increased.
• Speed of engine and amplitude of vibration are changing
with indirect proportionality.
• As Fuel rate and the amplitude of vibration again
directly proportional to each other.
CONCLUSION
In the vibration analysis of internal combustion (IC) engine
the non detrimental technique like FFT spectrum analysis
method is very fruitful. By making use of engine multibody
rigid modeling a mathematical model generation becomes
achievable as well as simplified. There may be number of
such models can be developed by making use of different
initial conditions while considering engine as a rigid body.
Now the observations of conducted experimentation are:-
• Magnitude of Vibration depends upon selection of axis
of engine for acquisition of signatures. In above the
vibrations are greater in Y direction as compared with X
and Z direction.
• Magnitude of vibration depends upon engine speed. As
the speed of engine decreases the vibration acceleration
amplitude also decreases in Y direction but increases in
X and Z direction.
• Vibration Amplitudes also depends upon load on engine.
As load on engine increases vibration acceleration
amplitude also decreases in Y direction but increases in
X and Z direction.
• With increase in load on engine the fuel rate increases,
vibrations in Y direction decreases but increases in X
and Z direction.
In future time, a robust and accurate mathematical model
with its prior simulation is required further more to bridge
the gaps in vibration analysis of such a complicated power
unit like the internal combustion engine.
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
_______________________________________________________________________________________
Volume: 05 Issue: 01 | Jan-2016, Available @ http://www.ijret.org 298
REFERENCES
[1] D. M. W. Hoffman, D. R. Dowling, ‘Limitations of rigid
body descriptions for heavy-duty diesel engine vibration’,
ASME Journal of Engineering for Gas Turbine and power
121: 197-204, 1999.
[2] D. M. W. Hoffman, D. R. Dowling,’ Fully coupled
internal combustion engine dynamics and vibration– part II:
Model-Experiment comparison’, ASME Journal of
Engineering for Gas Turbine and power 123: 685-692, 2001.
[3] D. M. W. Hoffman, D. R. Dowling, ‘fully coupled
internal combustion engine dynamics and vibration– part I:
Model development’, ASME Journal of Engineering for Gas
Turbine and power 123: 677-684, 2001.
[4] Deana M. Winton, David R. Dowling, ‘Modal content of
Heavy-duty diesel engine block vibration’ SAE
Paper#971948,1997.
[5] Zheng-Dong Ma, Noel C. Perkins, ‘An efficient
multibody dynamics model for internal combustion engine
systems’, Multibody System Dynamics 10: 363-391,2003.
[6] Tsuneo Tanaka, Mitsuo Iwahara, Tetsuya Sakai, ‘The
optimization of engine vibration reduction by simulation
analysis.’ SAE#962203, 1996.
[7] T. Ramachandran, K. P. Padmanaban and J.
Vinayagamoorthy, ‘Ant Colony Optimization for the
Minimization of Internal Combustion Engine Forces and
Displacements’, Emerging Trends in Science/10.1007/978-
81-322-1007-8_2, Springer India 2012.
[8] Chung-Ha Suh, Clifford G. Smith, ‘Dynamic simulation
of engine mount system’ ‘SAE Paper#971940.
[9] J. A. Snyman, P. S. Heyns, P. J. Vermeulen, ‘Vibration
isolation of a mounted engine through optimization.’ Mech.
Mach. Theory 30 (1): 109-118.
[10] Zhang Juhong, Han Jun, ‘CAE process to simulate and
optimize engine noise and vibration’ Mechanical Systems
and signal processing 20: 1400-1409, 2006.
[11] P. Charles, Jyothi Sinha, F. Gu, L. Lidstone, A. D. Ball,
‘Detecting the crank shaft torsional vibration of diesel
engines for combustion related diagnosis’ J. of sound and
vibration 321: 1171-1185, 2009.
[12] Fredrik Ostman, Hanna T. Toivonen, ‘Active vibration
control of reciprocating engines’ Control Engineering
Practice16:78-88, 2008.
[13] S. Rajendran, M. V. Narasimhan, ‘ Effect of inertia
variation due to reciprocating parts and connecting rod on
coupled free vibration of crank shaft’ ASME Journal of
Engineering for Gas Turbine and power 119 : 257-263.
[14] Ashrafiuon, H., and Natraj, C, ‘Dynamic Analysis of
Engine-Mount Systems’, ASME J. Vibr. Acoust, 114: 79–
83.
[15] P. Conti, J. Bretl, ‘Mount stiffness and inertia
properties from modal test data’, ASME Journal of
Vibrations and Acoustics, Stress and Reliability in Design
111: 134-141.
[16] Nader Vahdati, L. Ken Lauderbaugh Saunders, High
frequency testing of rubber mounts, ISA Transactions 41:
145–154, 2002.

More Related Content

PPTX
dokumen.tips_materi -rem-tromol-ppt.pptx
PPTX
Friction clutches, brakes and dynamometer
PPTX
Module 2 instantenous center method
PDF
6161103 4.6 moment of a couple
PPTX
I c engine
PPTX
frequency measuring instruments
PPTX
Construction and Working of Centrifugal Pump.pptx
PPTX
Friction
dokumen.tips_materi -rem-tromol-ppt.pptx
Friction clutches, brakes and dynamometer
Module 2 instantenous center method
6161103 4.6 moment of a couple
I c engine
frequency measuring instruments
Construction and Working of Centrifugal Pump.pptx
Friction

Similar to Vibration analysis of ci engine using fft analyzer (20)

PDF
The study on effect of torque on piston lateral motion
PDF
The study on effect of torque on piston lateral motion
PDF
I046015457
PDF
IRJET-An Overview of Blockchain Technology
PDF
Modeling of Wankle Engine and Steady State Thermal Analysis on Cylinder
PDF
IRJET- Analysis for Optimum Design of Automotive Flywheel
PDF
Gs3311771183
PDF
Modeling and Stress Analysis Of Crankshaft Using FEM Package ANSYS
PDF
FEA OF A CRANKSHAFT IN CRANK-PIN WEB FILLET REGION FOR IMPROVING FATIGUE LIFE
PDF
International Journal of Engineering and Science Invention (IJESI)
PDF
DESIGN, OPTIMIZATION AND FINITE ELEMENT ANALYSIS OF CRANKSHAFT
PDF
Design, Analysis & Balancing of 5 Cylinder Engine Crankshaft
PDF
Design and Manufacturing of Dual Mass Flywheel :A Review
PDF
IRJET- Design, Analysis and Performance Testing of a Diesel Engine as a Porta...
PDF
Investigation and Optimization of two cylinder crankshaft by FE Analysis
PDF
Design Optimization of a Geneva Mechanism for Internal Combustion Engine Appl...
PDF
IRJET- Rotor Dynamic Analysis of Driving Shaft of Dry Screw Vacuum Pump
PDF
Improvement of Braking Efficiency in Vehicle by using Fusion Braking System
PDF
A Review Design of Effective Braking and Efficient Transmission System
PDF
K031202058062
The study on effect of torque on piston lateral motion
The study on effect of torque on piston lateral motion
I046015457
IRJET-An Overview of Blockchain Technology
Modeling of Wankle Engine and Steady State Thermal Analysis on Cylinder
IRJET- Analysis for Optimum Design of Automotive Flywheel
Gs3311771183
Modeling and Stress Analysis Of Crankshaft Using FEM Package ANSYS
FEA OF A CRANKSHAFT IN CRANK-PIN WEB FILLET REGION FOR IMPROVING FATIGUE LIFE
International Journal of Engineering and Science Invention (IJESI)
DESIGN, OPTIMIZATION AND FINITE ELEMENT ANALYSIS OF CRANKSHAFT
Design, Analysis & Balancing of 5 Cylinder Engine Crankshaft
Design and Manufacturing of Dual Mass Flywheel :A Review
IRJET- Design, Analysis and Performance Testing of a Diesel Engine as a Porta...
Investigation and Optimization of two cylinder crankshaft by FE Analysis
Design Optimization of a Geneva Mechanism for Internal Combustion Engine Appl...
IRJET- Rotor Dynamic Analysis of Driving Shaft of Dry Screw Vacuum Pump
Improvement of Braking Efficiency in Vehicle by using Fusion Braking System
A Review Design of Effective Braking and Efficient Transmission System
K031202058062
Ad

More from eSAT Journals (20)

PDF
Mechanical properties of hybrid fiber reinforced concrete for pavements
PDF
Material management in construction – a case study
PDF
Managing drought short term strategies in semi arid regions a case study
PDF
Life cycle cost analysis of overlay for an urban road in bangalore
PDF
Laboratory studies of dense bituminous mixes ii with reclaimed asphalt materials
PDF
Laboratory investigation of expansive soil stabilized with natural inorganic ...
PDF
Influence of reinforcement on the behavior of hollow concrete block masonry p...
PDF
Influence of compaction energy on soil stabilized with chemical stabilizer
PDF
Geographical information system (gis) for water resources management
PDF
Forest type mapping of bidar forest division, karnataka using geoinformatics ...
PDF
Factors influencing compressive strength of geopolymer concrete
PDF
Experimental investigation on circular hollow steel columns in filled with li...
PDF
Experimental behavior of circular hsscfrc filled steel tubular columns under ...
PDF
Evaluation of punching shear in flat slabs
PDF
Evaluation of performance of intake tower dam for recent earthquake in india
PDF
Evaluation of operational efficiency of urban road network using travel time ...
PDF
Estimation of surface runoff in nallur amanikere watershed using scs cn method
PDF
Estimation of morphometric parameters and runoff using rs & gis techniques
PDF
Effect of variation of plastic hinge length on the results of non linear anal...
PDF
Effect of use of recycled materials on indirect tensile strength of asphalt c...
Mechanical properties of hybrid fiber reinforced concrete for pavements
Material management in construction – a case study
Managing drought short term strategies in semi arid regions a case study
Life cycle cost analysis of overlay for an urban road in bangalore
Laboratory studies of dense bituminous mixes ii with reclaimed asphalt materials
Laboratory investigation of expansive soil stabilized with natural inorganic ...
Influence of reinforcement on the behavior of hollow concrete block masonry p...
Influence of compaction energy on soil stabilized with chemical stabilizer
Geographical information system (gis) for water resources management
Forest type mapping of bidar forest division, karnataka using geoinformatics ...
Factors influencing compressive strength of geopolymer concrete
Experimental investigation on circular hollow steel columns in filled with li...
Experimental behavior of circular hsscfrc filled steel tubular columns under ...
Evaluation of punching shear in flat slabs
Evaluation of performance of intake tower dam for recent earthquake in india
Evaluation of operational efficiency of urban road network using travel time ...
Estimation of surface runoff in nallur amanikere watershed using scs cn method
Estimation of morphometric parameters and runoff using rs & gis techniques
Effect of variation of plastic hinge length on the results of non linear anal...
Effect of use of recycled materials on indirect tensile strength of asphalt c...
Ad

Recently uploaded (20)

PDF
Unit I ESSENTIAL OF DIGITAL MARKETING.pdf
PDF
737-MAX_SRG.pdf student reference guides
PPT
INTRODUCTION -Data Warehousing and Mining-M.Tech- VTU.ppt
PDF
Abrasive, erosive and cavitation wear.pdf
PPTX
Current and future trends in Computer Vision.pptx
PPTX
Software Engineering and software moduleing
PDF
A SYSTEMATIC REVIEW OF APPLICATIONS IN FRAUD DETECTION
PPTX
Safety Seminar civil to be ensured for safe working.
PPTX
AUTOMOTIVE ENGINE MANAGEMENT (MECHATRONICS).pptx
PPTX
6ME3A-Unit-II-Sensors and Actuators_Handouts.pptx
PPT
Total quality management ppt for engineering students
PDF
distributed database system" (DDBS) is often used to refer to both the distri...
PDF
August 2025 - Top 10 Read Articles in Network Security & Its Applications
PPTX
Sorting and Hashing in Data Structures with Algorithms, Techniques, Implement...
PDF
SMART SIGNAL TIMING FOR URBAN INTERSECTIONS USING REAL-TIME VEHICLE DETECTI...
PDF
Accra-Kumasi Expressway - Prefeasibility Report Volume 1 of 7.11.2018.pdf
PDF
BIO-INSPIRED HORMONAL MODULATION AND ADAPTIVE ORCHESTRATION IN S-AI-GPT
PPTX
Fundamentals of safety and accident prevention -final (1).pptx
PDF
Categorization of Factors Affecting Classification Algorithms Selection
PDF
Human-AI Collaboration: Balancing Agentic AI and Autonomy in Hybrid Systems
Unit I ESSENTIAL OF DIGITAL MARKETING.pdf
737-MAX_SRG.pdf student reference guides
INTRODUCTION -Data Warehousing and Mining-M.Tech- VTU.ppt
Abrasive, erosive and cavitation wear.pdf
Current and future trends in Computer Vision.pptx
Software Engineering and software moduleing
A SYSTEMATIC REVIEW OF APPLICATIONS IN FRAUD DETECTION
Safety Seminar civil to be ensured for safe working.
AUTOMOTIVE ENGINE MANAGEMENT (MECHATRONICS).pptx
6ME3A-Unit-II-Sensors and Actuators_Handouts.pptx
Total quality management ppt for engineering students
distributed database system" (DDBS) is often used to refer to both the distri...
August 2025 - Top 10 Read Articles in Network Security & Its Applications
Sorting and Hashing in Data Structures with Algorithms, Techniques, Implement...
SMART SIGNAL TIMING FOR URBAN INTERSECTIONS USING REAL-TIME VEHICLE DETECTI...
Accra-Kumasi Expressway - Prefeasibility Report Volume 1 of 7.11.2018.pdf
BIO-INSPIRED HORMONAL MODULATION AND ADAPTIVE ORCHESTRATION IN S-AI-GPT
Fundamentals of safety and accident prevention -final (1).pptx
Categorization of Factors Affecting Classification Algorithms Selection
Human-AI Collaboration: Balancing Agentic AI and Autonomy in Hybrid Systems

Vibration analysis of ci engine using fft analyzer

  • 1. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 _______________________________________________________________________________________ Volume: 05 Issue: 01 | Jan-2016, Available @ http://www.ijret.org 293 VIBRATION ANALYSIS OF CI ENGINE USING FFT ANALYZER Namdev A. Patil1 , Laukik P. Raut2 1 Student, M. Tech CAD/CAM, G. H. Raisoni College of Engineering, Nagpur, India namdevpatil007@gmail.com 2 Assistant Professor, G. H. Raisoni College of Engineering, Nagpur, India rautlaukik@gmail.com Abstract In automobile industry, the vibrations generated in the IC engine affects the performance of the vehicle and quality of comfort while riding the vehicle. The factors which are affected under continuous vibration of IC engine are drivability, stability and comfort. All these factors are reducing while there is an increase in vibrations produced by the engine. Reciprocating as well as rotating parts of the engine are producing vibrations continuously in the internal combustion engine. The inertial forces are produced by these reciprocating and rotating parts. These inertial forces are changing with compression and combustion characteristics inside the engine. The vibrations produced by the engine can be minimized by reducing those unbalanced forces generated during its functioning, otherwise anti vibration mounts are placed in between engine and its base. Many researchers have performed experimentations to see reasons behind the vibration generations also to reduce vibrations at interface between engine and its base. In this paper a thorough collection of data related to engine vibrations is made to provide a platform for future work. It encompasses various work carried on engine rigid body modeling. The paper is framed as engine rigid body modeling, engine vibrations in detail and at last some experimental work performed on a single cylinder diesel engine to measure vibrations using FFT spectrum analyzer. Keywords: Internal Combustion Engine, Engine Rigid Body, Vibration , FFT Analyzer. --------------------------------------------------------------------***---------------------------------------------------------------------- INTRODUCTION The internal combustion engine design, itself is a complex task as it includes multiple parts of various sizes assembled together. The internal combustion engine is required to be designed carefully so that the unbalanced forces generated by the engine parts are reduced. If the design is not optimum it will generate more vibrations and are transmitted to supporting structure. It affects driver stability, drivability and comfort. Taking into account the consumer aspirations and surrounding considerations vibration reduction is at most important phenomenon. Four major causes for overall vibration behavior of IC engine are variation in gas pressure in each cycle, impact forces due to reciprocating parts, unbalanced rotating and reciprocating parts and mount structural characteristics. During working of engine speed, load on the engine is varying depending upon need. Due to which fuel supply and combustion characteristics also changes. Major components of an IC engine are continuously having relative motion in between them. The inertial forces changes with respect to compression and combustion variation inside the cylinder. It is definite that inertial forces give rise to unbalanced forces and they are fluctuating with speed of the engine, fuel supplied and combustion characteristics of the fuel. Hence for fulfilling consumer satisfaction and calculate the vibration output and its minimization, a mathematically accurate design model along with its simulation is at most required. IC engine produces mainly two types of vibrations i.e. longitudinal and torsional vibrations. In which reciprocating behavior of the engine results some torsional vibration continuously. In compression stroke when piston moves towards top dead centre the cylinder pressure increases. As then ignition and combustion of the fuel occurs pressure again increases and then pressure reduce with piston movement towards bottom dead centre. The pressure generated due to combustion of fuel exerts tangential force on the piston that does required work and crankshaft speed increases. So the crankshaft speed is increases in combustion stroke where as decreases during compression stroke respectively. This changing speed of the crankshaft gives rise to torsional vibrations for crankshaft. Thus the change in combustion pressure during downward motion and changing inertial motion during upward motion of the piston gives rise to unbalanced forces on the engine block. These are considered to be responsible for generating the longitudinal vibrations and these are measured in three perpendicular directions. These above discussed main two types of the vibrations can be minimized by reducing unbalanced forces also by putting mounts. Thus to measure and minimize the engine vibrations a dynamic approach is needed. To discuss various methods used and the assumptions used a collection is done on engine as a rigid body, and its vibrations. The discussion followed by an experimental analysis. The experimentation is conducted on a single cylinder diesel engine. 1. ENGINE AS A RIGID BODY In the internal combustion engine there are various parts such as piston, engine block, connecting rod, engine head, crankshaft, cam shaft, flywheel, valves, pulleys etc. Among
  • 2. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 _______________________________________________________________________________________ Volume: 05 Issue: 01 | Jan-2016, Available @ http://www.ijret.org 294 all these parts few parts are taken as vibration generating parts by the research scholars and industry experts. There are four major components which generate vibrations by producing unbalanced forces during cycle are piston, crankshaft, engine block and connecting rod. As these components are interconnected with each other, produced unbalancing forces are passed to the engine parts such as building block of engine and to the contacting structure. Many researchers developed and studied various mathematical rigid body models to calculate the unbalanced forces during engine cycle, by making use of multibody modeling. Hoffman and Dowling [1] performed thorough experimentation on the diesel engine with six cylinders to calculate vibrational force components in three orthogonal directions at three engine mounts. Hoffman and Dowling [2] evolved seven DOF model for engine vibrations with low frequency, which assumes two way coupling. Finally they have compared results of this with model having one way coupling assumption. Hoffman and Dowling [3] managed to get a model with 7 DOF which is conserving energy also it is giving features of overall IC engine vibration output. Deana M. Winton and Dowling [4] performed an experiment with 6 cylinder diesel engine to measure vibrations of engine building block with its rigid body analysis. Zeng-Dong Ma and Perkins [5] found the motion equations used for important parts of the IC engine by using method of recursive formulation. They prepared computer program by using C language and FORTRAN sub routines to derive the equations of motion automatically. Tsuneo T. and Tetsuya S. [6] gave a vibration reduction method during idling condition of a heavy duty truck engine. They have developed FEA model of full engine vibrations. T. Ramachandran et al. [7] used ant colony optimization method for the minimization of the internal combustion engine forces and displacements. They considered a four cylinder IC engine as a rigid body. Mathematical model is developed and forces and displacements are minimized by optimizing the crank angles. The internal combustion engine looks simple but it is highly complicated machine containing hundreds of components which have to perform its functions satisfactorily to produce required power output. In such a complicated machine while it is running components have relative motion with respect to each other producing internal vibrations. The collective effects of these relative motions are also responsible for external vibrations of the internal combustion engine as a whole. Here by using the concept of rigid body modeling the internal vibrations can be excluded and focus will be on external vibrations only. The experimentation included in this paper to obtain vibrations of a single cylinder diesel engine and its results can be compared with vibrations obtained by using dynamic analysis of engine as a rigid body. 2. ENGINE VIBRATION IC engine composed of various parts produces vibratory forces which are as a result of the uneven forces as of the engine components throughout the operation. Engine produces longitudinal as well as torsional vibrations at the engine supports. Engine loads and changing combustion pressures produces torsion vibration at crankshaft of engine. Longitudinal vibrations at the engine block are produced with reciprocating as well as rotating sub parts of the engine. Chung Ha et al. [8] developed a simplified method to get vibration amplitudes generated by a four cylinder engine which is supported on a viscoelastic mounts, by modeling engine components as rigid body connected to rubber mounts. Snyman et al. [9] provided method of reduction of engine vibration in a 4 cylinder mounted IC engine. They developed a mathematical model by taking lead angles and balancing masses as propose independent variables and the intended function is vibrating forces transmit to the mounts at engine base. The method used to lessen the intended function. Zhang Juhong and Han Jun [10] found change in engine design for a totally new engine which could lessen noise with low frequency and the vibration lower than the presented production also optimizing its noise as well as vibration characteristics. P. Charles et al [11] studied a fault detection technique for an internal combustion diesel engine depending on torsional vibration of crank shaft inside the engine. In this paper scholars make use of encoder signal to check speed of a shaft and produced the instantaneous angular speed (IAS) waveform. They supervised a 16 cylinder diesel engine by using IAS and FFT (Fast Fourier Transform). They found that FFT improves signal processing to get the IAS signals. Fredrik Otsman et. al. [12] have given method of reducing torsional vibration during running of a common railway diesel engine of reciprocating type. They found that no uniform torque would be the reason behind greater than before torsional vibration and stresses developed inside various parts of the IC engine. They finally concluded that this active cylinder scheme reduces the torsional vibrations. Rajendran and Narasimhan [13] have focused on combined torsional as well as vibrations with no bending mainly in the single cylinder engine crankshaft. They have developed finite element models and concluded that the introduction of inertial coupling affects the free vibrations characteristics. Under such circumstances they have concluded that in modeling of crankshaft, the pure torsional system may have considerable errors. H. Ashrafioun et al. [14] have looked on response in terms of frequency for a engine of aircraft to measure exciting forces. The transmitted forces minimization was critical as far as location, orientation and type of mount is concerned. They have also considered most of the applicable Vibration Isolation Systems. Conti and Bretl [15] have created a totally renovated method for getting the investigative model of rigid body on its supportive mounts and a way for data acquisition system. Using external impact excitation in a vibration analysis test through mounts they found mass of a engine rigid body yielding properties and mounts stiffness properties from data extracted during experimentation. They have evaluated location of centre of gravity, mass moment, principle axes of inertia as well as triaxial stiffness for mounts with mass of complete system. Nader Vahadati and L. Ken Laudrebaugh Saunders [16] have tested a machine with high frequency performance
  • 3. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 _______________________________________________________________________________________ Volume: 05 Issue: 01 | Jan-2016, Available @ http://www.ijret.org 295 using rubber mounts. They have presented a mathematical comprehensive model of a test machine having large frequency. They have compared outputs of both mathematical model and simulation at the frequency of 5000 Hz. Accordingly they implemented changes in design of fixtures, mass and mounts as well. They found that the designed fixture should be of minimum weight. By looking into the different methods of vibration analysis of above discussed research scholars, a vigorous and accurate mathematical model and with simulation is required to cover gap between vibration modeling and its isolation from its base. The internal combustion engine itself is a complicated design containing many components; at most care is required in developing such multibody modeling and simulation. 3. EXPERIMENTATION In the experimentation the longitudinal vibration acceleration signatures are measured in three orthogonal directions X, Y and Z directions respectively on a single cylinder Kirloskar diesel engine by using FFT spectrum analyzer setup. In the experimentation while taking readings an acceleration transducer having piezoelectric sensor is used, this is placed at three different locations to get signatures in X, Y and Z directions. All vibrations measured are for 100% diesel fuel that is without blending with any kind of biodiesel. While taking readings diesel engine is run idle for 2 minutes without load and then readings are taken. As the test rig is attached to the engine other observations are also taken and enlisted in the table. Parameters focused in the experimentation are as follows:-  Mainly Rotating and Reciprocating members produces Unbalanced Inertial Forces, Torsion are responsible for vibration generation.  Independent parameters used in the experimentation are as follows: • Load on the engine.  Output parameter measured is Vibration Acceleration Signatures.  Also some other measurements on test rig are :- • Speed of the engine. • Fuel Rate. • Air flow rate inside the engine. • Temperature of Exhaust gas. The loading on the engine is done by using Eddy current Dynamometer. The load is increased in the steps zero, five, ten percent and so on up to thirty percent. Due to engine operating constraints the load is not increased above thirty percents. Figure 1. Schematic Line Diagram of Experimental Setup Equipments used in the experimentation are enlisted below :- 1. Single Cylinder Diesel Engine 2. OR3X Analyzer 3. PC with NV Gate Software installation 4. Ethernet link 5. Transducer: Piezoelectric Accelerometer 6. Tachometer Engine Specifications Details are as follows:- 1. Kirloskar Single Vertical Cylinder Diesel Engine Power = 18 BHP (7.4 KW) Loading = Eddy Current Dynamometer. Maximum Torque = 32 Nm Stroke = 116 mm Compression Ratio = 17.5:1 Engine speed rpm = 1500 Bore = 102 mm Specific Fuel Consumption = 0.251 kg/ Kw-hr. 2. FFT Analyzer Specifications: OR3X Analyzer OROS 3 Series / NV Gate software 3. Accelerometer with Piezoelectric Sensor 4. Digital Tachometer RMS Acceleration = Square root (summation of square of amplitudes divided by no. of observations). Table 1. Observation Table Measurement No. Load%. TorqueN-m. SpeedRPM. FuelRate Kg/Hr. AirRate m^3/Hr. Exhaust Temp.In0 C. 1 0 0 1550 0.78 46 256 2 5 1.6 1541 0.78 37 286 3 10 3.2 1535 0.84 66 307 4 15 4.8 1530 0.96 122 338 5 20 6.4 1523 1.14 130 365 6 25 8.0 1515 1.38 137 410 7 30 9.6 1490 1.50 150 489
  • 4. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 _______________________________________________________________________________________ Volume: 05 Issue: 01 | Jan-2016, Available @ http://www.ijret.org 296 Vibration acceleration signatures are obtained and root mean square acceleration values are measured. Longitudinal Vibrations in Y Direction: Figure 2. Time vs Acceleration measurement 1 in Y direction Figure 3. Frequency vs Acceleration Measurement 1 in Y direction Figure 4. Time vs Acceleration Measurement 2 in Y direction Figure 5. Frequency vs Acceleration Measurement 2 in Y direction By taking the signatures of acceleration, vibration behavior in Y direction is observed. Observations for vibrations in Y direction are: • The vibrations amplitude ranging from 50- 130 m/s2 . • Peak value of acceleration = 130m/s2 . • RMS Acceleration amplitudes are 61.5, 48.8, 46, 44.5, 42.4, 42m/s2 . • Highest acceleration amplitudes are at 1500 Hz, 2700Hz, 3300Hz, 3200 Hz, 2600 Hz, 15 Hz, and 700 Hz with increasing loads. • Amplitude of vibration are directly varying with respect to load. • As the speed of engine decreases, amplitude of vibration decreases. • As Fuel rate increases there is decrease in vibration amplitudes. Longitudinal vibrations in X direction: Figure 6. Time vs Acceleration Measurement 1 In X direction Figure 7. Frequency vs Acceleration Measurement 1 in X direction Figure 8. Time vs Acceleration Measurement 2 in X direction Figure 9. Frequency vs Acceleration Measurement 2 in X direction
  • 5. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 _______________________________________________________________________________________ Volume: 05 Issue: 01 | Jan-2016, Available @ http://www.ijret.org 297 By taking the signatures of acceleration, vibration behavior in X direction is observed. Observations for vibrations in X direction are: • The vibrations amplitude ranging from 30 - 110 m/s2 . • Peak value of acceleration = 110m/s2 . • RMS Accelerations are 69.3, 74.9, 78.4, 82.73, 83, 83.43, 83.43m/s2 . • Highest acceleration amplitudes are at 4300 Hz, 4800Hz, 3300Hz, 4900 Hz, 200 Hz, 2100 Hz, and 700 Hz with increasing loads. • Here also increasing load gives increase in vibration amplitudes. • In this case engine speed decreases then amplitude of vibration increases. • Vibrations of the engine increases in Z direction as the Fuel Rate is increasing. Longitudinal vibrations in Z direction: Figure 10. Time vs Acceleration Measurement 1 In Z direction Figure 11. Frequency vs Acceleration Measurement 1 in Z direction Figure 12. Time vs Acceleration Measurement 2 In Z direction Figure 13. Frequency vs Acceleration Measurement 2 in Z direction By taking the signatures of acceleration, vibration behavior in Z direction is observed. Observations for vibrations in Z direction are: • The vibrations amplitude ranging from 30- 105 m/s2. • Peak value of acceleration = 105m/s2. • RMS Accelerations are 67.17, 74.95, 75.66, 76.36, 77.78, 77.8, 78 m/s2. • Highest acceleration amplitudes are at 200 Hz, 4250Hz, 3700Hz, 2600 Hz, 5000 Hz, 2100 Hz, 3500 Hz frequencies with increasing loads from 0 to 30 percents. • Load on engine increased then amplitude of vibration also increased. • Speed of engine and amplitude of vibration are changing with indirect proportionality. • As Fuel rate and the amplitude of vibration again directly proportional to each other. CONCLUSION In the vibration analysis of internal combustion (IC) engine the non detrimental technique like FFT spectrum analysis method is very fruitful. By making use of engine multibody rigid modeling a mathematical model generation becomes achievable as well as simplified. There may be number of such models can be developed by making use of different initial conditions while considering engine as a rigid body. Now the observations of conducted experimentation are:- • Magnitude of Vibration depends upon selection of axis of engine for acquisition of signatures. In above the vibrations are greater in Y direction as compared with X and Z direction. • Magnitude of vibration depends upon engine speed. As the speed of engine decreases the vibration acceleration amplitude also decreases in Y direction but increases in X and Z direction. • Vibration Amplitudes also depends upon load on engine. As load on engine increases vibration acceleration amplitude also decreases in Y direction but increases in X and Z direction. • With increase in load on engine the fuel rate increases, vibrations in Y direction decreases but increases in X and Z direction. In future time, a robust and accurate mathematical model with its prior simulation is required further more to bridge the gaps in vibration analysis of such a complicated power unit like the internal combustion engine.
  • 6. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 _______________________________________________________________________________________ Volume: 05 Issue: 01 | Jan-2016, Available @ http://www.ijret.org 298 REFERENCES [1] D. M. W. Hoffman, D. R. Dowling, ‘Limitations of rigid body descriptions for heavy-duty diesel engine vibration’, ASME Journal of Engineering for Gas Turbine and power 121: 197-204, 1999. [2] D. M. W. Hoffman, D. R. Dowling,’ Fully coupled internal combustion engine dynamics and vibration– part II: Model-Experiment comparison’, ASME Journal of Engineering for Gas Turbine and power 123: 685-692, 2001. [3] D. M. W. Hoffman, D. R. Dowling, ‘fully coupled internal combustion engine dynamics and vibration– part I: Model development’, ASME Journal of Engineering for Gas Turbine and power 123: 677-684, 2001. [4] Deana M. Winton, David R. Dowling, ‘Modal content of Heavy-duty diesel engine block vibration’ SAE Paper#971948,1997. [5] Zheng-Dong Ma, Noel C. Perkins, ‘An efficient multibody dynamics model for internal combustion engine systems’, Multibody System Dynamics 10: 363-391,2003. [6] Tsuneo Tanaka, Mitsuo Iwahara, Tetsuya Sakai, ‘The optimization of engine vibration reduction by simulation analysis.’ SAE#962203, 1996. [7] T. Ramachandran, K. P. Padmanaban and J. Vinayagamoorthy, ‘Ant Colony Optimization for the Minimization of Internal Combustion Engine Forces and Displacements’, Emerging Trends in Science/10.1007/978- 81-322-1007-8_2, Springer India 2012. [8] Chung-Ha Suh, Clifford G. Smith, ‘Dynamic simulation of engine mount system’ ‘SAE Paper#971940. [9] J. A. Snyman, P. S. Heyns, P. J. Vermeulen, ‘Vibration isolation of a mounted engine through optimization.’ Mech. Mach. Theory 30 (1): 109-118. [10] Zhang Juhong, Han Jun, ‘CAE process to simulate and optimize engine noise and vibration’ Mechanical Systems and signal processing 20: 1400-1409, 2006. [11] P. Charles, Jyothi Sinha, F. Gu, L. Lidstone, A. D. Ball, ‘Detecting the crank shaft torsional vibration of diesel engines for combustion related diagnosis’ J. of sound and vibration 321: 1171-1185, 2009. [12] Fredrik Ostman, Hanna T. Toivonen, ‘Active vibration control of reciprocating engines’ Control Engineering Practice16:78-88, 2008. [13] S. Rajendran, M. V. Narasimhan, ‘ Effect of inertia variation due to reciprocating parts and connecting rod on coupled free vibration of crank shaft’ ASME Journal of Engineering for Gas Turbine and power 119 : 257-263. [14] Ashrafiuon, H., and Natraj, C, ‘Dynamic Analysis of Engine-Mount Systems’, ASME J. Vibr. Acoust, 114: 79– 83. [15] P. Conti, J. Bretl, ‘Mount stiffness and inertia properties from modal test data’, ASME Journal of Vibrations and Acoustics, Stress and Reliability in Design 111: 134-141. [16] Nader Vahdati, L. Ken Lauderbaugh Saunders, High frequency testing of rubber mounts, ISA Transactions 41: 145–154, 2002.