Performance Evaluation of Wood and Aluminum Baseball Bats Using Finite Element Analysis James Cain 12/4/14.

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Performance Evaluation of Wood and Aluminum Baseball Bats Using Finite Element Analysis James Cain 12/4/14

Problem Description Model a baseball and baseball bats in Abaqus/CAE Perform a dynamic analysis on the bat-ball interaction in Abaqus/Explicit Modify models with different physical properties such as material, mass, and size, and compare results

Material Properties of a Baseball Ball Properties Baseball consists of four different materials Cork Rubber Wool Cowhide Material Properties of a Baseball Density (lb/in3) Short-Time Shear Modulus (psi) Long-Time Shear Modulus (psi) Decay Constant Bulk Modulus (psi) .028 4498 1492 5025 13495

Ball Geometry Average baseball diameter is 2.90” FEA model of a baseball

Material Properties of Ash Material Properties of Aluminum Bat Properties Bat materials chosen are ash and aluminum Material Properties of Ash Density (lb/in3) Elastic Modulus (psi) Shear Modulus (psi) Poisson’s Ratio E1 E2 E3 G12 G23 G13 ν12 ν23 ν13 0.028 2.02x106 1.93x105 2.13x105 1.78x105 2.03x104 1.20x105 0.4 0.5 Material Properties of Aluminum Density (lb/in3) Elastic Modulus (psi) Poisson’s Ratio 0.0975 10x106 0.33

Bat Geometries Bat length, barrel diameter, and handle diameter are same size for all three bats Length: 34” Barrel diameter: 2.5” Handle Diameter: 1.0” Ash bat is solid, whereas aluminum bat has solid handle and hollow barrel with 0.1” thick wall Bats are modified with different physical properties

FEA model of a baseball bat Bat Geometries FEA model of a baseball bat

FEM FEMs of baseball and bats created Material properties assigned to models Baseball = Viscoelastic Wood bat = Orthotropic Aluminum bat = Elastic Assembly and steps created Interactions and constraints applied to bat and ball Boundary conditions and predefined fields defined Bat and ball meshed with tetrahedral elements

Results Bat-Ball Interaction

Results Bat-Ball Interaction

Results

Results

Results

Conclusion Performance of wood and aluminum bats was investigated for different bat masses, bat swing speeds, and ball impact locations Aluminum bat outperformed wood bat in all analysis when bats were similar in weight Attributed to smaller moment of inertia of hollow aluminum bat and trampoline effect