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International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 05 Issue: 03 | Mar-2018 www.irjet.net p-ISSN: 2395-0072
© 2018, IRJET | Impact Factor value: 6.171 | ISO 9001:2008 Certified Journal | Page 800
To Design a New Cross Section for Connecting Rod with a Target of 10%
Weight Reduction
Priyanka Inderchandji Mutha1
1Student, Dept. of Mechanical Engineering, Govt. College of Engineering, Aurangabad
---------------------------------------------------------------------***---------------------------------------------------------------------
Abstract - The connecting rod is an intermediate member
between the piston and the Crankshaft. Its function is to
transmit the push and pull forces from the piston pin to the
crank pin, converting the reciprocating motion of the piston
into rotary motionof the crank. Traditionally, Icross-section
has been used to design the connecting rod. This paper
describes design and analysis of alternate cross sections
evaluated to achieve weight reduction for cost benefits.
Alternate designs were modelled in Creo2.0 and were
analyzed using ANSYS 18.2. Throughconceptselectionstudy,
the C section was selected and further wasfurtheroptimized
for a minimum weight considering FOS of 2 using Response
Surface Methodology (RSM) in Minitab 17.
Key Words: Connecting rod, Static Analysis, I section, C
section, Fatigue Analysis, CREO 2.0R, ANSYS 18.2R,
MINITAB 17R and Finite Element Analysis, Response
Surface Methodology (RSM).
1. INTRODUCTION
In a reciprocating piston engine, the connectingrodconnects
the piston to the crank or crankshaft. The major stresses
induced in the connecting rod are combination of axial and
bending stresses in operation. The axial stresses are
produced due to cylinder gas pressure (compressive only)
and the inertia force arising in account of reciprocating
action (both tensile and compressive), whereas bending
stresses are caused due to the centrifugal effects.
The connecting rods are made traditionally with I cross
section. This is due to the rigidity provided by the I-section
which proves to be good in taking bending moment and
provide effective fatigue life. But a trade-off can been seen
between the stress carrying capacity v/s weight of
connecting rod due to the use of I-Section. Different cross
section like H Section, Circular Section, Hollow circular
section etc. are presently been used in Industry as an
alternative to the I section, where weight of component is
critical factor for design.
The objective of this study is to design and optimize a new
crosssection of connecting rod for itsweight. Toachievethis
three cross sections, T Section, C section and hollow C
section were designed. Bending stresses and fatigue life
were calculated using theoretical calculations. The
equivalent stress and principal stresses were evaluated
using ANSYS.
Designed concepts were compared usingadecisionmatrixto
select the one best concept. The selected C cross-section
design was further optimized for weight reduction using
Response Surface Methodology. An overall 14% weight
reduction is achieved in C cross-section design as compared
to the original I section design.
1.1 THEORETICAL CALCULATIONOFFORCESACTINGON
CONNECTING ROD
Bajaj Pulsar 220 CC Engine connecting rod was considered
for the study purpose. A reversed engineered model of
connecting rod was created using CREO 2.0.
a. Pressure calculation:
Below engine specifications were considered:
Engine type air cooled 4-stroke
Bore × Stroke (mm) = 67 x 62.4
Displacement = 220 CC
Maximum Power = 21.05 @ 8500 (Ps @ RPM)
Maximum Torque = 19.12 @ 7000 (Nm @ RPM)
Compression Ratio = 9.5/1
Density of petrol at 288.855 K = 737.22*10-9 kg/mm3
Molecular weight M = 114.228 g/mole
Ideal gas constant R = 8.3143 J/mol.k
From gas equation,
PV=m*R specific*T
Where, P = Pressure
V = Volume
m = Mass
R specific = Specific gas constant
T = Temperature
But,
Mass of air = Density * Volume
Density for Grey Cast Iron = 737.22 E-9 kg/mm3
m =737.22E-9*220E3
m = 0.16 kg
R specific = R/M
R specific = 8.3143/0.114228
R specific = 72.79
P = m* R specific* T/V
P = 0.16*72.79*288.85/200E3
P = 15.5 MPa
P ~ 16 MPA.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 05 Issue: 03 | Mar-2018 www.irjet.net p-ISSN: 2395-0072
© 2018, IRJET | Impact Factor value: 6.171 | ISO 9001:2008 Certified Journal | Page 801
b. Design calculations for connecting rod:
For an I section, in general
Figure 1: Standard Dimensions of I Section
Where,
Thickness of flange and web of the section = t = 1.16 mm
Total width of the section B = 10 mm
Total height of the section H = 18 mm
Flange width of the section b = 8 mm
Flange height of the section h = 15.7 mm
Moment of inertia about X axis Ixx = 2.28007E-09 mm4
Moment of inertia about Y axis Iyy= 8.30133E-10 mm4
Therefore Ixx / Iyy = 2.75
Length of the connecting rod (L) = 2 times the stroke
L = 108.4 mm
Total Force acting F = Fp-Fi
Where Fp = force acting on piston
Fi = force due to inertia of reciprocating parts
Fp = (𝜋d2/4) * gas pressure
Fp = 54646.47 N
Fi = Mass * Acceleration = m* ω2*r (cos 𝜃 + cos2𝜃/n)
r = crank radius
r = stroke of piston / 2
r = 62.4 /2 = 31.2 mm
m = mass of connecting rod
m = 194 gm
𝜃 = Crank angle from the dead center
𝜃 = 0 considering that connecting rod is at the TDC
position
n = length of connecting rod / crank radius
n = 108.4/31.2 = ~ 4
g = acceleration due to gravity, 9.81 m/sec
v = crank velocity m/s
ω = 2𝜋𝑛/60
ω = 2𝜋*8500/60 = 890.118 rad/sec
v = r* ω = 31.2*e-3*890.118 = 0.03 m/s
On substituting.
Fi = 4009.31 N
Therefore,
F = 54646.47 – 4009.31
F = 50637.16 N
Fin = force due to inertia of connecting rod
Fin = (Mass * Acceleration)/2 = (m* ω2*r)/2
Fin = 4009.31/2 = 2004.65 N
M = Max Bending moment
M = m* ω2* r* L/ (9 * √3)
M = 33.34 Nm
Z = Section modulus
Z = (BH2/6) - (bh3/6H)
Z = 2.5 E-07 m3
σ max = Max bending stress
σ max = M/Z
σ max = 131.63 MPa
N = Fatigue life
N = 10 –c/b * S 1/b
b = -1/3 log (0.8*Sut/Se)
c = log ((0.8*Sut)2/Se)
Sut = Ultimate tensile strength of cast iron = 450 MPa
Se = Yield strength of cast iron = 280 MPa
N = 2.1 E+09 cycles
1.2 Design and Analysis
After considering multiple cross-sections, three new cross
sections for connecting rod were selected for the study,
those were - T section, C section and hollow C section.
Figures below shows the different designs.
Figure 2 : Original Connecting Rod with I section
Figure 3 : Connecting Rod with T section
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 05 Issue: 03 | Mar-2018 www.irjet.net p-ISSN: 2395-0072
© 2018, IRJET | Impact Factor value: 6.171 | ISO 9001:2008 Certified Journal | Page 802
Figure 4 : Connecting Rod with C section
Figure 5 : Connecting Rod with hollow C section
Figure 2 shows the original I section design of connecting
rod, while Figure 3, 4, 5 shows connecting rod with T, C and
hollow C section respectively.
The modelled designs of Creo 2.0 were importedintoANSYS
18.2 Workbench and were subjected to the boundary
conditions to analyse equivalent stress and principal
stresses.
The bigger end of connecting rod was considered as fixed.
The smaller end was applied with the gas pressure of 16
MPa. Boundary conditions are shown in Figure 6. Table 1
summarises the weight and stress components for each of
the design.
Figure 6 : Boundary Conditions in ANSYS
Table 1: Weight and Stress components for different
sections
Sr.
No.
Name Weight
(gm)
Eq. Stress
(MPa)
Max P
(MPa)
Min P
(MPa)
1 I section 194 72.1 62.92 16.36
2 T Section 217 84.26 75.16 16.39
3 C Section 176 80.19 70.94 16.21
4 Hollow C
Section
164 83.91 73.99 18.13
Figure 7, 8, 9 below shows the equivalent stress (72.1 MPa),
max. & min. principal stress (62.92 and 16.36 MPa) for the
original I section.
Figure 7: Eq. Stress plot for Original I section
Figure 8: Max Principal Stress plot for Original I section
Figure 9: Min Principal Stress plot for Original I section
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 05 Issue: 03 | Mar-2018 www.irjet.net p-ISSN: 2395-0072
© 2018, IRJET | Impact Factor value: 6.171 | ISO 9001:2008 Certified Journal | Page 803
Figure 10, 11, 12 below shows the equivalent stress (84.26
MPa), max. & min. principal stress(75.16 and16.39MPa)for
the T section. There is 20 % increase in equivalent stress
from I section to T section along with the increase in weight
of 12 %.
Figure 10: Eq. Stress plot for T section
Figure 11: Max Principal Stress plot for T section
Figure 12: Min Principal Stress plot for T section
Figure 13, 14, 15 below shows the equivalent stress (80.19
MPa), max. & min. principal stress(70.41 and16.21MPa)for
the C section. There is 11 % increase in equivalent stress
from I section to C section with a weight reduction of 9 %.
Figure 13: Eq. Stress plot for C section
Figure 14: Max Principal Stress plot for C section
Figure 15: Min Principal Stress plot for C section
Figure 16, 17, 18 below shows the equivalent stress (83.91
MPa), max. & min. principal stress(73.99 and18.13MPa)for
the hollow C section. There is 17 % increase in equivalent
stress from I section to hollow C section with a weight
reduction of 15 %.
Figure 16: Eq. Stress plot for Hollow C section
Figure 17: Max Principal Stress plot for Hollow C section
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 05 Issue: 03 | Mar-2018 www.irjet.net p-ISSN: 2395-0072
© 2018, IRJET | Impact Factor value: 6.171 | ISO 9001:2008 Certified Journal | Page 804
Figure 18: Min Principal Stress plot for Hollow C section
Decision Matrix:
To select best concept out of the three concepts a decision
matrix was formulated. The concepts were rated against
original I section with characteristics chosen as shown in
Figure 19. Based on the output of decision matrix, C section
was selected for further optimisation of weight.
Figure 19: Decision Matrix
2. OPTIMIZATION OF C SECTION
2.1 Response surface optimization
To evaluate further possibility ofopoptimizationofCsection
to gain more weight reduction and still being within the
stress limits of the material, a DOE was performed with two
factor i.e. “r1” (inner radius of section C at small end) and “t”
(thickness of C section).
Figure 20: C section details
Where From r1 and t, other section details are determined as
below:
R1 = Outer radius of section C at small end = r1 + t
r2 = Inner radius of section C at big end = R1 (Constraint)
R2 = Outer radius of section C at big end = r2 + t
For the DOE, three levels for each of the two factor were
considered as below. One level above and below base design
r1 = 2.5 mm and t =3 mm was considered.
Table 2: DOE factors and levels
Factors Levels
r1 2 2.5 3
t 2.5 3 3.5
Using above Table 2, 9 unique concepts were designed in
Creo 2.0 and were imported into ANSYS 18.2 Workbench.
Table 3: DOE concepts details
r1
mm
R1
mm
r2
mm
R2
mm
r
mm
R
mm
t
mm
mass
gm
C1 2 4.5 4.5 7 4.02 6.43 2.5 164.65
C2 2.5 5 5 7.5 4.53 7.03 2.5 166.76
C3 3 5.5 5.5 8 5.03 7.53 2.5 168.88
C4 2 5 5 8 4.44 7.44 3 170.82
C5 2.5 5.5 5.5 8.5 4.94 7.94 3 173.36
C6 3 6 6 9 5.44 8.44 3 175.91
C7 2 5.5 5.5 9 4.84 8.34 3.5 177.84
C8 2.5 6 6 9.5 5.34 8.84 3.5 180.81
C9 3 6.5 6.5 10 5.88 9.34 3.5 183.81
Table 4: ANSYS results for DOE concepts
Eq. Stress (MPa) Max P (MPa) Min P (MPa)
C1 79.92 70.55 16.35
C2 70.5 70.06 16.23
C3 78.99 69.55 16.32
C4 80.27 70.84 16.31
C5 79.65 70.25 16.33
C6 78.66 69.62 16.28
C7 79.98 70.72 16.32
C8 79.01 69.81 16.3
C9 79.3 70.00 16.28
All concepts were then subjected to the same boundary
conditions and were analysed for equivalent stress and
principal stresses.
Concept C5 is same as the baseline C section which was
analysed earlier.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 05 Issue: 03 | Mar-2018 www.irjet.net p-ISSN: 2395-0072
© 2018, IRJET | Impact Factor value: 6.171 | ISO 9001:2008 Certified Journal | Page 805
The bending stress and fatigue life werealsocalculatedusing
theoretical calculations for the 9 concepts:
Bending stress
(MPa)
FOS
Fatigue life N
(no of cycles)
C1 314.39 1.43 8.21E+08
C2 249.43 1.80 8.70E+08
C3 212.41 2.12 9.25E+08
C4 204.30 2.20 7.94E+08
C5 175.20 2.57 8.51E+08
C6 152.09 2.96 9.18E+08
C7 148.72 3.03 8.04E+08
C8 129.86 3.47 8.97E+08
C9 115.10 3.91 8.77E+08
A response surface method explores the relationships
between several explanatory variables and one or more
response variables. It maps the design space created using
the DOE study data to find an optimal solution for response
variable.
A response surface optimizer was ran using Minitab 17 by
targeting FOS as 2, minimizing weight and maximizing
fatigue life. Bending stress was not considered as an
independent parameter to be optimized asFOS isfunctionof
bending stress and yield limit.
Figure 21: Response Surface Optimizer Results
The response surface optimizer for a targeted FOS of 2
suggests that r = 2.8 mm and t = 2.5 mm should give the
minimum weight with maximum fatigue life.
2.2 Proof of concept
The suggested optimized design from Minitaboptimizerwas
then modelled in Creo2.0 for a proof of concept. The
modelled design weighs 168 grams which is close to the
values given by the optimizer results. The Bending stress
and fatigue life were calculated using theoretical formulae
for the optimized C section. Also, the model was analyzed
using ANSYS workbench for equivalent stress and principal
stresses.
Table 6: Baseline and optimized C section results
Stress Life
Mass
(gms)
σmax
(MPa)
FOS
Eq.
Stress
(MPa)
Fatigue
life N
(no of
cycles)
Base C
Section (C5)
173.0
0
175.2
0
2.57 79.65 8.51E+08
Optimized C
Section
168.0
0
226.0
8
1.99 78.62 9.45E+08
Comparing the Response Surface optimizer results from
Figure 21 and the results for optimized C section from Table
6, there is a close co-relation between values.
Compared to original I section (194 grams), the optimized C
section (173 grams) weighs 14% less.
3. CONCLUSIONS
The main objective of this study was to explore a new cross
section of connecting rod with a reduced weight as
compared to traditional I section. Following are the results:
An optimized C section was obtained with overall 14%
weight reduction using response surface optimization
methodology.
Ascompared to traditional I section, the Equivalent stressin
new C section was increased by 10% considering FOS as 2.
REFERENCES
[1] Webster, W. D., Coffell R., and Alfaro D., 1983, “A Three
Dimensional Finite Element Analysis of a High Speed
Diesel Engine Connecting Rod,” SAE Technical Paper
Series, Paper No. 831322.
[2] Christy V Vazhappilly, P.Sathiamurthi, “Stress Analysis
of Connecting Rod for Weight Reduction- A Review” ,
International Journal of Scientific and Research
Table 5: Bending Stress and Fatigue life for DOE concepts
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 05 Issue: 03 | Mar-2018 www.irjet.net p-ISSN: 2395-0072
© 2018, IRJET | Impact Factor value: 6.171 | ISO 9001:2008 Certified Journal | Page 806
Publications, Volume 3, Issue 2, February 2013, ISSN
2250-3153. M. Young, the Technical Writer’sHandbook.
Mill Valley, CA: University Science, 1989.
[3] K.Sudershn Kumar, Dr. K. Tirupathi Reddy, Syed Altaf
Hussain,” Modeling and Analysis of Two Wheeler
Connecting Rod”, International Journal of Modern
Engineering Research (IJMER), Vol.2, Issue.5, Sep-Oct.
2012 pp-3367-3371.
[4] Naman Gupta, Manas Purohit, Kartik Choubey “Modern
Optimized Design Analysis of Connecting Rod of an
Engine”, International Research Journal of Engineering
and Technology (IRJET), Volume. 05, Issue.02,Feb-2018
[5] Kuldeep B, Arun L.R, Mohammed Faheem “Analysis and
optimization of connecting rod using ALFASiC
composites” International Journal of Innovative
Research in Science, Engineering and Technology,Vol.2,
Issue 6, June 2013.

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IRJET- To Design a New Cross Section for Connecting Rod with a Target of 10% Weight Reduction

  • 1. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 05 Issue: 03 | Mar-2018 www.irjet.net p-ISSN: 2395-0072 © 2018, IRJET | Impact Factor value: 6.171 | ISO 9001:2008 Certified Journal | Page 800 To Design a New Cross Section for Connecting Rod with a Target of 10% Weight Reduction Priyanka Inderchandji Mutha1 1Student, Dept. of Mechanical Engineering, Govt. College of Engineering, Aurangabad ---------------------------------------------------------------------***--------------------------------------------------------------------- Abstract - The connecting rod is an intermediate member between the piston and the Crankshaft. Its function is to transmit the push and pull forces from the piston pin to the crank pin, converting the reciprocating motion of the piston into rotary motionof the crank. Traditionally, Icross-section has been used to design the connecting rod. This paper describes design and analysis of alternate cross sections evaluated to achieve weight reduction for cost benefits. Alternate designs were modelled in Creo2.0 and were analyzed using ANSYS 18.2. Throughconceptselectionstudy, the C section was selected and further wasfurtheroptimized for a minimum weight considering FOS of 2 using Response Surface Methodology (RSM) in Minitab 17. Key Words: Connecting rod, Static Analysis, I section, C section, Fatigue Analysis, CREO 2.0R, ANSYS 18.2R, MINITAB 17R and Finite Element Analysis, Response Surface Methodology (RSM). 1. INTRODUCTION In a reciprocating piston engine, the connectingrodconnects the piston to the crank or crankshaft. The major stresses induced in the connecting rod are combination of axial and bending stresses in operation. The axial stresses are produced due to cylinder gas pressure (compressive only) and the inertia force arising in account of reciprocating action (both tensile and compressive), whereas bending stresses are caused due to the centrifugal effects. The connecting rods are made traditionally with I cross section. This is due to the rigidity provided by the I-section which proves to be good in taking bending moment and provide effective fatigue life. But a trade-off can been seen between the stress carrying capacity v/s weight of connecting rod due to the use of I-Section. Different cross section like H Section, Circular Section, Hollow circular section etc. are presently been used in Industry as an alternative to the I section, where weight of component is critical factor for design. The objective of this study is to design and optimize a new crosssection of connecting rod for itsweight. Toachievethis three cross sections, T Section, C section and hollow C section were designed. Bending stresses and fatigue life were calculated using theoretical calculations. The equivalent stress and principal stresses were evaluated using ANSYS. Designed concepts were compared usingadecisionmatrixto select the one best concept. The selected C cross-section design was further optimized for weight reduction using Response Surface Methodology. An overall 14% weight reduction is achieved in C cross-section design as compared to the original I section design. 1.1 THEORETICAL CALCULATIONOFFORCESACTINGON CONNECTING ROD Bajaj Pulsar 220 CC Engine connecting rod was considered for the study purpose. A reversed engineered model of connecting rod was created using CREO 2.0. a. Pressure calculation: Below engine specifications were considered: Engine type air cooled 4-stroke Bore × Stroke (mm) = 67 x 62.4 Displacement = 220 CC Maximum Power = 21.05 @ 8500 (Ps @ RPM) Maximum Torque = 19.12 @ 7000 (Nm @ RPM) Compression Ratio = 9.5/1 Density of petrol at 288.855 K = 737.22*10-9 kg/mm3 Molecular weight M = 114.228 g/mole Ideal gas constant R = 8.3143 J/mol.k From gas equation, PV=m*R specific*T Where, P = Pressure V = Volume m = Mass R specific = Specific gas constant T = Temperature But, Mass of air = Density * Volume Density for Grey Cast Iron = 737.22 E-9 kg/mm3 m =737.22E-9*220E3 m = 0.16 kg R specific = R/M R specific = 8.3143/0.114228 R specific = 72.79 P = m* R specific* T/V P = 0.16*72.79*288.85/200E3 P = 15.5 MPa P ~ 16 MPA.
  • 2. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 05 Issue: 03 | Mar-2018 www.irjet.net p-ISSN: 2395-0072 © 2018, IRJET | Impact Factor value: 6.171 | ISO 9001:2008 Certified Journal | Page 801 b. Design calculations for connecting rod: For an I section, in general Figure 1: Standard Dimensions of I Section Where, Thickness of flange and web of the section = t = 1.16 mm Total width of the section B = 10 mm Total height of the section H = 18 mm Flange width of the section b = 8 mm Flange height of the section h = 15.7 mm Moment of inertia about X axis Ixx = 2.28007E-09 mm4 Moment of inertia about Y axis Iyy= 8.30133E-10 mm4 Therefore Ixx / Iyy = 2.75 Length of the connecting rod (L) = 2 times the stroke L = 108.4 mm Total Force acting F = Fp-Fi Where Fp = force acting on piston Fi = force due to inertia of reciprocating parts Fp = (𝜋d2/4) * gas pressure Fp = 54646.47 N Fi = Mass * Acceleration = m* ω2*r (cos 𝜃 + cos2𝜃/n) r = crank radius r = stroke of piston / 2 r = 62.4 /2 = 31.2 mm m = mass of connecting rod m = 194 gm 𝜃 = Crank angle from the dead center 𝜃 = 0 considering that connecting rod is at the TDC position n = length of connecting rod / crank radius n = 108.4/31.2 = ~ 4 g = acceleration due to gravity, 9.81 m/sec v = crank velocity m/s ω = 2𝜋𝑛/60 ω = 2𝜋*8500/60 = 890.118 rad/sec v = r* ω = 31.2*e-3*890.118 = 0.03 m/s On substituting. Fi = 4009.31 N Therefore, F = 54646.47 – 4009.31 F = 50637.16 N Fin = force due to inertia of connecting rod Fin = (Mass * Acceleration)/2 = (m* ω2*r)/2 Fin = 4009.31/2 = 2004.65 N M = Max Bending moment M = m* ω2* r* L/ (9 * √3) M = 33.34 Nm Z = Section modulus Z = (BH2/6) - (bh3/6H) Z = 2.5 E-07 m3 σ max = Max bending stress σ max = M/Z σ max = 131.63 MPa N = Fatigue life N = 10 –c/b * S 1/b b = -1/3 log (0.8*Sut/Se) c = log ((0.8*Sut)2/Se) Sut = Ultimate tensile strength of cast iron = 450 MPa Se = Yield strength of cast iron = 280 MPa N = 2.1 E+09 cycles 1.2 Design and Analysis After considering multiple cross-sections, three new cross sections for connecting rod were selected for the study, those were - T section, C section and hollow C section. Figures below shows the different designs. Figure 2 : Original Connecting Rod with I section Figure 3 : Connecting Rod with T section
  • 3. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 05 Issue: 03 | Mar-2018 www.irjet.net p-ISSN: 2395-0072 © 2018, IRJET | Impact Factor value: 6.171 | ISO 9001:2008 Certified Journal | Page 802 Figure 4 : Connecting Rod with C section Figure 5 : Connecting Rod with hollow C section Figure 2 shows the original I section design of connecting rod, while Figure 3, 4, 5 shows connecting rod with T, C and hollow C section respectively. The modelled designs of Creo 2.0 were importedintoANSYS 18.2 Workbench and were subjected to the boundary conditions to analyse equivalent stress and principal stresses. The bigger end of connecting rod was considered as fixed. The smaller end was applied with the gas pressure of 16 MPa. Boundary conditions are shown in Figure 6. Table 1 summarises the weight and stress components for each of the design. Figure 6 : Boundary Conditions in ANSYS Table 1: Weight and Stress components for different sections Sr. No. Name Weight (gm) Eq. Stress (MPa) Max P (MPa) Min P (MPa) 1 I section 194 72.1 62.92 16.36 2 T Section 217 84.26 75.16 16.39 3 C Section 176 80.19 70.94 16.21 4 Hollow C Section 164 83.91 73.99 18.13 Figure 7, 8, 9 below shows the equivalent stress (72.1 MPa), max. & min. principal stress (62.92 and 16.36 MPa) for the original I section. Figure 7: Eq. Stress plot for Original I section Figure 8: Max Principal Stress plot for Original I section Figure 9: Min Principal Stress plot for Original I section
  • 4. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 05 Issue: 03 | Mar-2018 www.irjet.net p-ISSN: 2395-0072 © 2018, IRJET | Impact Factor value: 6.171 | ISO 9001:2008 Certified Journal | Page 803 Figure 10, 11, 12 below shows the equivalent stress (84.26 MPa), max. & min. principal stress(75.16 and16.39MPa)for the T section. There is 20 % increase in equivalent stress from I section to T section along with the increase in weight of 12 %. Figure 10: Eq. Stress plot for T section Figure 11: Max Principal Stress plot for T section Figure 12: Min Principal Stress plot for T section Figure 13, 14, 15 below shows the equivalent stress (80.19 MPa), max. & min. principal stress(70.41 and16.21MPa)for the C section. There is 11 % increase in equivalent stress from I section to C section with a weight reduction of 9 %. Figure 13: Eq. Stress plot for C section Figure 14: Max Principal Stress plot for C section Figure 15: Min Principal Stress plot for C section Figure 16, 17, 18 below shows the equivalent stress (83.91 MPa), max. & min. principal stress(73.99 and18.13MPa)for the hollow C section. There is 17 % increase in equivalent stress from I section to hollow C section with a weight reduction of 15 %. Figure 16: Eq. Stress plot for Hollow C section Figure 17: Max Principal Stress plot for Hollow C section
  • 5. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 05 Issue: 03 | Mar-2018 www.irjet.net p-ISSN: 2395-0072 © 2018, IRJET | Impact Factor value: 6.171 | ISO 9001:2008 Certified Journal | Page 804 Figure 18: Min Principal Stress plot for Hollow C section Decision Matrix: To select best concept out of the three concepts a decision matrix was formulated. The concepts were rated against original I section with characteristics chosen as shown in Figure 19. Based on the output of decision matrix, C section was selected for further optimisation of weight. Figure 19: Decision Matrix 2. OPTIMIZATION OF C SECTION 2.1 Response surface optimization To evaluate further possibility ofopoptimizationofCsection to gain more weight reduction and still being within the stress limits of the material, a DOE was performed with two factor i.e. “r1” (inner radius of section C at small end) and “t” (thickness of C section). Figure 20: C section details Where From r1 and t, other section details are determined as below: R1 = Outer radius of section C at small end = r1 + t r2 = Inner radius of section C at big end = R1 (Constraint) R2 = Outer radius of section C at big end = r2 + t For the DOE, three levels for each of the two factor were considered as below. One level above and below base design r1 = 2.5 mm and t =3 mm was considered. Table 2: DOE factors and levels Factors Levels r1 2 2.5 3 t 2.5 3 3.5 Using above Table 2, 9 unique concepts were designed in Creo 2.0 and were imported into ANSYS 18.2 Workbench. Table 3: DOE concepts details r1 mm R1 mm r2 mm R2 mm r mm R mm t mm mass gm C1 2 4.5 4.5 7 4.02 6.43 2.5 164.65 C2 2.5 5 5 7.5 4.53 7.03 2.5 166.76 C3 3 5.5 5.5 8 5.03 7.53 2.5 168.88 C4 2 5 5 8 4.44 7.44 3 170.82 C5 2.5 5.5 5.5 8.5 4.94 7.94 3 173.36 C6 3 6 6 9 5.44 8.44 3 175.91 C7 2 5.5 5.5 9 4.84 8.34 3.5 177.84 C8 2.5 6 6 9.5 5.34 8.84 3.5 180.81 C9 3 6.5 6.5 10 5.88 9.34 3.5 183.81 Table 4: ANSYS results for DOE concepts Eq. Stress (MPa) Max P (MPa) Min P (MPa) C1 79.92 70.55 16.35 C2 70.5 70.06 16.23 C3 78.99 69.55 16.32 C4 80.27 70.84 16.31 C5 79.65 70.25 16.33 C6 78.66 69.62 16.28 C7 79.98 70.72 16.32 C8 79.01 69.81 16.3 C9 79.3 70.00 16.28 All concepts were then subjected to the same boundary conditions and were analysed for equivalent stress and principal stresses. Concept C5 is same as the baseline C section which was analysed earlier.
  • 6. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 05 Issue: 03 | Mar-2018 www.irjet.net p-ISSN: 2395-0072 © 2018, IRJET | Impact Factor value: 6.171 | ISO 9001:2008 Certified Journal | Page 805 The bending stress and fatigue life werealsocalculatedusing theoretical calculations for the 9 concepts: Bending stress (MPa) FOS Fatigue life N (no of cycles) C1 314.39 1.43 8.21E+08 C2 249.43 1.80 8.70E+08 C3 212.41 2.12 9.25E+08 C4 204.30 2.20 7.94E+08 C5 175.20 2.57 8.51E+08 C6 152.09 2.96 9.18E+08 C7 148.72 3.03 8.04E+08 C8 129.86 3.47 8.97E+08 C9 115.10 3.91 8.77E+08 A response surface method explores the relationships between several explanatory variables and one or more response variables. It maps the design space created using the DOE study data to find an optimal solution for response variable. A response surface optimizer was ran using Minitab 17 by targeting FOS as 2, minimizing weight and maximizing fatigue life. Bending stress was not considered as an independent parameter to be optimized asFOS isfunctionof bending stress and yield limit. Figure 21: Response Surface Optimizer Results The response surface optimizer for a targeted FOS of 2 suggests that r = 2.8 mm and t = 2.5 mm should give the minimum weight with maximum fatigue life. 2.2 Proof of concept The suggested optimized design from Minitaboptimizerwas then modelled in Creo2.0 for a proof of concept. The modelled design weighs 168 grams which is close to the values given by the optimizer results. The Bending stress and fatigue life were calculated using theoretical formulae for the optimized C section. Also, the model was analyzed using ANSYS workbench for equivalent stress and principal stresses. Table 6: Baseline and optimized C section results Stress Life Mass (gms) σmax (MPa) FOS Eq. Stress (MPa) Fatigue life N (no of cycles) Base C Section (C5) 173.0 0 175.2 0 2.57 79.65 8.51E+08 Optimized C Section 168.0 0 226.0 8 1.99 78.62 9.45E+08 Comparing the Response Surface optimizer results from Figure 21 and the results for optimized C section from Table 6, there is a close co-relation between values. Compared to original I section (194 grams), the optimized C section (173 grams) weighs 14% less. 3. CONCLUSIONS The main objective of this study was to explore a new cross section of connecting rod with a reduced weight as compared to traditional I section. Following are the results: An optimized C section was obtained with overall 14% weight reduction using response surface optimization methodology. Ascompared to traditional I section, the Equivalent stressin new C section was increased by 10% considering FOS as 2. REFERENCES [1] Webster, W. D., Coffell R., and Alfaro D., 1983, “A Three Dimensional Finite Element Analysis of a High Speed Diesel Engine Connecting Rod,” SAE Technical Paper Series, Paper No. 831322. [2] Christy V Vazhappilly, P.Sathiamurthi, “Stress Analysis of Connecting Rod for Weight Reduction- A Review” , International Journal of Scientific and Research Table 5: Bending Stress and Fatigue life for DOE concepts
  • 7. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 05 Issue: 03 | Mar-2018 www.irjet.net p-ISSN: 2395-0072 © 2018, IRJET | Impact Factor value: 6.171 | ISO 9001:2008 Certified Journal | Page 806 Publications, Volume 3, Issue 2, February 2013, ISSN 2250-3153. M. Young, the Technical Writer’sHandbook. Mill Valley, CA: University Science, 1989. [3] K.Sudershn Kumar, Dr. K. Tirupathi Reddy, Syed Altaf Hussain,” Modeling and Analysis of Two Wheeler Connecting Rod”, International Journal of Modern Engineering Research (IJMER), Vol.2, Issue.5, Sep-Oct. 2012 pp-3367-3371. [4] Naman Gupta, Manas Purohit, Kartik Choubey “Modern Optimized Design Analysis of Connecting Rod of an Engine”, International Research Journal of Engineering and Technology (IRJET), Volume. 05, Issue.02,Feb-2018 [5] Kuldeep B, Arun L.R, Mohammed Faheem “Analysis and optimization of connecting rod using ALFASiC composites” International Journal of Innovative Research in Science, Engineering and Technology,Vol.2, Issue 6, June 2013.