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Finite Element Analysis of a cricket bat
Solid Mechanics (ES240)Final Project
Widusha Illeperuma12-04-2009
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Outline
• Introduction
• Project description
• Modeling and results
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Introduction to cricket
• The sport cricket is around 500 years old• This is a bat and ball team sport• Considered as the world second most popular
sport• Match is played between two teams of eleven
players
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Cricket ball
• Made from cork nucleus and a leather cover• Weighs between 155.9 to 163 g• Circumference should be no more than
22.9cm
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Cricket bat
Blade
Handle
Made from willow (strong, lightweight and good shock resistance)
Made from cane (good shock absorbing properties)
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Properties of cricket bat
John et al
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Bat ball impact
Bat ball impact (begins when ball touches the bat and finishes when they separate)
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What happens with impact?
• High speed impact occurs between ball and the bat, player and protective equipment
• There will be internal stresses developed in both bat and ball
Understanding impact dynamics
Development of cricket equipment
Improve player safety and
performance
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Project description
• Determine deformation, stress strain distribution in cricket bat
• Consider both 2D and 3D analysis
• Consider both static and dynamic analysis
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Why FEA?
• Greatly reduces the cost• Improve the design capabilities of engineers• Can get the results quickly
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2D Analysis of ball in static condition
Assumptions• Ball behaves as a linear elastic material• Ball material is rubber• Bat-ball impact occurs at +/-150 from x
axis• Boundary conditions are applied directly
opposite to loading
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Results of 2D analysis of ball
Initial condition of the ball
Deformed ball
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Stress on the ball
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Strain on the ball
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2D Analysis of bat in static condition
Initial condition of the bat
Deformed bat
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Deformation of the bat
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Reaction force on the bat
Max RF
Bending angle
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Finding suitable position on the bat which gives minimum bending and maximum reaction force
Around 0.16m from the bottom of bat
0.0 0.1 0.2 0.3 0.4 0.5 0.6
0
20
40
60
80
100
120
140
160
180
200
220
240
260
Reaction force Bending angle
Position along the bat(m)
Rea
ctio
n fo
rce/
(N)
P lot of reaction forces and bending angle with position of the bat
7.89
7.90
7.91
7.92
7.93
7.94
7.95
7.96
7.97
7.98
Bending angle/(deg)
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Suitable position to hit
Suitable position
0.16m
‘’Cricket bats are designed to hit the ball 12-20 cm up from the base of the bat’’
Experimental results
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3D analysis of bat and ball in dynamic loading
Fixed bc
Velocity
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Deformation with the impact
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Stress propagation with the impact
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Conclusions
• Finite element analysis is a useful method to analyze the impact in cricket bats
• This can make a change in the bat manufacturing industry
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Future work
• Analyze the impact when ball comes with an angle and bat hits with an angle
• Vibration analysis of the impact
• Determine exit velocity that produces maximum speed
• Viscoelastic behavior of cricket ball
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Reference
• John et al, ‘Multi-directional vibration analysis of cricket bats’
• Iwatsubo et al, ‘Numerical analysis of golf club head and ball at various impact points’
• Hariharan et al, ‘Inertial and vibrational characteristics of a cricket bat’
• Smith et al, ‘An examination of cricket bat performance’
• Subic et al, ‘Materials in cricket’