design & modal analysis of multi cylinder petrol engine...
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International Journal of Electrical Electronics Computers & Mechanical Engineering (IJEECM)
ISSN: 2278-2808 www.ijeecm.org Volume 3 Issue8 ǁ Aug. 2016
IJEECM journal of Mechanical Engineering (ijeecm-jme)
www.ijeecm.org
Design & Modal Analysis of Multi Cylinder Petrol Engine Flywheel using Different Materials
P.Manoj kumar 1, K.Baba Saheb 2, D.Madhava reddy3 1,2,3 Mechanical Engineering Department,
1,2,3 AVN Institute of Engineering and Technology, Koheda Road, Ibrahimpatnam, Ranga Reddy Dist., T.S(India)
Abstract— A flywheel used in machines serves as
a reservoir which stores energy during the period when
the supply of energy is more than the requirement and
releases it during the period when the requirement of
energy is more than supply. For example, in I.C. engines,
the energy is developed only in the power stroke which is
much more than engine load, and no energy is being
developed during the suction, compression and exhaust
strokes in case of four stroke engines. The excess energy
is developed during power stroke is absorbed by the
flywheel and releases its to the crank shaft during the
other strokes in which no energy is developed, thus
rotating the crankshaft at a uniform speed.
The flywheel is located on one end of the
crankshaft and serves two purposes. First, through its
inertia, it reduces vibration by smoothing out the power
stroke as each cylinder fires. Second, it is the mounting
surface used to bolt the engine up to its load The aim of
the project is to design a flywheel for a multi cylinder
petrol engine flywheel using the empirical formulas. A
parametric model of the flywheel is designed using 3D
modeling software Creo. The forces acting on the
flywheel are also calculated. The strength of the flywheel
is validated by applying the forces on the flywheel in
analysis software ANSYS. Structural analysis, modal
analysis and fatigue analysis are done on the flywheel.
Structural analysis is used to determine whether
flywheel withstands under working conditions. Fatigue
analysis is done for finding the life of the component.
Modal analysis is done to determine the number of mode
shapes for flywheel. Analysis is done for two materials
Gray Cast Iron and S Glass Epoxy to compare the
results.
Keywords: Spur gear, Contact stress, Involute, Pro/Engineer, ANSYS 14.5.
I. INTRODUCTION
A flywheel is a heavy disk or wheel that is
attached to a rotating shaft Flywheels are used for storage
of kinetic energy. The momentum of the flywheel causes it
to not change its rotational speed easily. Because of this,
flywheels help to keep the shaft rotating at the same speed.
This helps when the torque applied to the shaft changes
often. Uneven torque can change the speed of rotation.
Because the flywheel resists changes in speed, it decreases
the effects of uneven torque. Engines which use pistons to
provide power usually have uneven torque and use
flywheels to fix this problem. It takes energy to get a wheel
(any wheel) to rotate. If there is little friction (good
bearings) then it will keep rotating a long time. When
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energy is needed, it can be taken from the wheel again. So
it is a simple mechanical means of storing energy. The
amount of energy stored is a function of the weight and the
speed of rotation - making a heavier wheel rotate faster
takes more energy.
2.DESIGN
PRO-E INTRODUCTION(3D CAD)
Three-dimensional (3D) CAD programs come in a
wide variety of types, intended for different applications and
levels of detail. Overall, 3D CAD programs create a realistic
model of what the design object will look like, allowing
designers to solve potential problems earlier and with lower
production costs. Some 3D CAD programs include
Autodesk Inventor, Co-Create Solid Designer, Pro/Engineer
Solid Edge, SolidWorks, Unigraphics NX and VX CAD,
CATIA V5.
Pro/ENGINEER Wildfire is the standard in 3D
product design, featuring industry-leading productivity tools
that promote best practices in design while ensuring
compliance with your industry and company standards.
Integrated Pro/ENGINEER CAD/CAM/CAE solutions
allow you to design faster than ever, while maximizing
innovation and quality to ultimately create exceptional
products.
3.ANALYSIS
The basic concept in fem is that the body or
structure may be divided into smaller elements of finite
dimensions called “Finite Elements”. The original body or
the structure is then considered as an assemblage of these
elements connected at a finite number of joints called
“nodes” or “nodal points”. Simple functions are chosen to
approximate the displacements over each finite element.
Such assumed functions are called “shape functions”. This
will represent the displacement with in the element in terms
of the displacement at the nodes of the elements.
The Finite Element method is a mathematical tool
for solving ordinary and partial differential equation
because it is a numerical tool, it has the ability to solve the
complex problem that can be represented in differential
equation from. The application of FEM are limitless as
regards the solution of practical design problems.
Due to high cost of computing power of years gone
by, FEM has a history of being used to solve complex and
cost critical problems.
The finite element method is a very important tool
for those involved in engineering design; it is a now used
routinely to solve problems in the following areas:
Fig. 1. Structural analysis
Fig. 2. Thermal analysis
Fig. 3. Vibrations and dynamics
Fig. 4. Buckling analysis
Fig. 5. Acoustics
Fig. 6. Fluid flow simulations
Fig. 7. Crash simulations
Fig. 8. Mould flow simulations
4.RESULTS & DISCUSSION
STRUCTURAL ANALYSIS OF FLYWHEEL
CAST IRON
Imported Model from Pro/Engineer
Figure :4.1 Imported Creo Model
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Element Type: Solid 20 node 186
Material Properties: Youngs Modulus (EX) :
103000N/mm2
Poissons Ratio (PRXY) : 0.211
density : 0.0000071 kg/mm3
Meshed Model
Figure:4.21MESHED MODEL
Loads
Pressure values – 0.64398e-01,0.86604e-
01,0.19221,0.25849,0.51714e-01,0.618646e-01.
Solution
Solution – Solve – Current LS – ok
Post Processor
General Post Processor – Plot Results – Contour
Plot - Nodal Solution – DOF Solution –
Displacement Vector Sum
Figure :4.3 DISPLACEMENT
General Post Processor – Plot Results – Contour
Plot – Nodal Solution – Stress – Von Mises Stress
Figure: 4.4VONMISES STRESS
General Post Processor – Plot Results – Contour Plot –
Nodal Solution – Strain – Total mechanical Strain
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Figure :4.5 MECHANICAL
STRAIN
STRUCTURAL ANALYSIS OF FLYWHEEL
ALUMINIUM-A360
Imported Model from Pro/Engineer
Figure :4.6 IMPORTED MODEL
Element Type: Solid 20 node 186
Material Properties: Youngs Modulus (EX) :
80000N/mm2
Poissons Ratio (PRXY) : 0.33
Density : 0.00000268 kg/mm3
Meshed Model
Figure: 4.7 MESHED MODEL
Loads
Pressure values – 0.64398e-01,0.86604e-
01,0.19221,0.25849,0.51714e-01,0.618646e-01.
Solution
Solution – Solve – Current LS – ok
Post Processor
General Post Processor – Plot Results – Contour
Plot - Nodal Solution – DOF Solution –
Displacement Vector Sum
General Post Processor – Plot Results – Contour Plot –
Nodal Solution – Stress – Von Mises Stress
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Figure :4.8 VONMISES STRESS
General Post Processor – Plot Results – Contour Plot – Nodal Solution – Strain – Total mechanical Strain
Figure :4.9MECHANICAL STRAIN
STRUCTURAL ANALYSIS OF FLYWHEEL
E-GLASS FLIBER
Imported Model from Pro/Engineer
Figure: 4.10 IMPORTED MODAL
Element Type: Solid 20 node 186
Material Properties: Youngs Modulus (EX) :
72000N/mm2
Poissons Ratio (PRXY) : 0.21
Density : 0.00000255 kg/mm3
Meshed Model
Figure:4.11 MESHED FILE
Loads
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Pressure values – 0.64398e-01,0.86604e-
01,0.19221,0.25849,0.51714e-01,0.618646e-01.
Solution
Solution – Solve – Current LS – ok
Post Processor
General Post Processor – Plot Results – Contour
Plot - Nodal Solution – DOF Solution –
Displacement Vector Sum
Figure :4.12DISPLACEMENT VECTOR SUM
General Post Processor – Plot Results – Contour Plot –
Nodal Solution – Stress – Von Mises Stress
Figure :4.13 VONMISES
STRESS
General Post Processor – Plot Results – Contour Plot –
Nodal Solution – Strain – Total mechanical Strain
Figure :4.14 MECHANICAL STRAIN
FLYWHEEL MODAL ANALYSIS FOR CAST IRON
Import Model
Figure:4.15 IMPORTED
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MODEL
Material Properties Cast Iron
Young’s Modulus – 103000Mpa
Poisson’s ratio – 0.211
Density – 0.0000071Kg/mm3
MESHED MODEL
Figure :4.16 MESHED FILE
Solution>analysis type>new analysis>select model
analysis>ok Analysis options>no of modes to extract>5
No of modes to expand 5>ok Frequency range>0 to1000
Modal Analysis 1
Figure :4.17 FIRST MODE
SHAPE
Modal analysis 2
Figure:4.18 SECOND MODE SHAPE
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Modal Analysis 3
Figure:4.19 THIRD MODE SHAPE
Modal Analysis 4
Figure:4.20 FOURTH MODE SHAPE
Modal Analysis 5
Figure:4.21 FIFTH MODE
SHAPE
FLYWHEEL
MODAL ANALYSIS FOR AL-A360
Import Model
Figure:4.22 IMPORTED MODEL
Material Properties Cast Iron
Young’s Modulus – 80000Mpa
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Poisson’s ratio – 0.33
Density – 0.00000268Kg/mm3
Solution>analysis type>new analysis>select model
analysis>ok Analysis options>no of modes to extract>5
No of modes to expand 5>ok Frequency range>0 to1000
Modal Analysis 1
Figure :4.23FIRST FREQUENCY
Modal analysis 2
Figure :4.24 SECOND FREQUENCY
Modal Analysis 3
Figure :4.25 THIRD FREQUENCY
Modal Analysis 4
Figure :4.26 FOURTH FREQUENCY
Modal Analysis 5
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Figure :4.27 FIFTH FREQUENCY
FLYWHEEL
MODAL ANALYSIS FOR E-GLASS FLIBER
Import Model
Figure :4.28 IMPORTED MODEL
Material Properties
Cast Iron Young’s Modulus – 72000Mpa
Poisson’s ratio – 0.21 Density – 0.00000255Kg/mm3
Solution>analysis type>new analysis>select model analysis>ok Analysis options>no of modes to extract>5 No of modes to expand 5>ok Frequency range>0 to1000
Modal Analysis 1
Figure :4.29 FIRST FREQUENCY
Modal analysis 2
Figure :4.30 SECOND FREQUENCY
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Modal Analysis 3
Figure :4.31 THIRD FREQUENCY
Modal Analysis 4
Figure :4.32 FOURTH FREQUENCY
Modal Analysis 5
Figure ;4.33 FIFTH FREQUENCY
Table 1 Numerical values obtained during analysis:
si.no material displacement von-mises stress strain min max min max min
1 CAST IRON 0
5.48E-05 0.011865 0.313296
1.70E-07
2 A360 0 6.12E-
05 0.014586 0.281982 2.29E-
07
3 E-
GLASS 0 7.85E-
05 0.011855 3.14E-01 2.44E-
07
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Table 2 material modes
5.CONCLUSION
In our project we have designed a flywheel used in
a multi cylinder petrol engine using theoretical calculations.
2d drawing is created and modeling of flywheel is done
using Pro/Engineer. We have done structural and modal
analysis on flywheel using two materials Gray Cast Iron,
Aluminum A360 and S Glass Epoxy to validate our design.
By observing the results, for all the materials the
strength values are less than their respective yield strength
values. So our design is safe. We have also done modal
analysis for number of modes to see the displacement of
flywheel for number of frequencies. By comparing the
results for three materials, the strength value for Aluminum
A360 and S Glass Epoxy is less than that of Cast Iron.
So we conclude that for our design, Gray Cast Iron
is better material for flywheel. In this project mainly we did
material optimization.
6.REFERENCES
"Flywheels move from steam age technology to Formula
1"; Jon Stewart | 1 July 2012, retrieved 2012-07-03 Jump
up, "Breakthrough in Ricardo Kinergy ‘second generation’
high-speed flywheel technology"; Press release date: 22
August 2011. retrieved 2012-07-03
1. Janse van Rensburg, P.J."Energy storage in
composite flywheel rotors". University of
Stellenbosch.
2. Jump up rosseta Technik GmbH, Flywheel
Energy Storage, German, retrieved February 4,
2010.
3. Zhang Da-lun, Mechanics of Materials, Tongji
University Press, Shjanghai, 1993
4. Huang Xi-kai, Machine Design, Higher Education
Press, Beijing, 1995
5. Robert L. Norton, Design of Machinery, McGraw-
Hill Inc, New York, 1992
6. K. Lingaiah, Machine Design Data Handbook,
McGraw-Hill Inc, New York, 1994
7. R. S. Khurmi, J. K. Gupta, Machine Design,
Eurasia Publishing House, NewDelhi, 1993
8. ANSYS User's Manual, Swanson Analysis
Systems, Inc., Houston
si.no material mod 1
mode 2 mode 3
mode 4 mode 5
1 CAST IRON
9.19E+01
122.813
1.24E+02
137.039 1.76E+02
2 A360 125.95
5 174.59
4 1.77E+
02 197.1
88 243.984
3 E-
GLASS 128.23
3 171.35
7 1.73E+
02 191.1
85 246.273