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Stress from Impact of an Elastic Sphere against a Solid Rod

Deformation kinematics during the impact of a ball on a bar. This application provides a solution for Hertzian contact theory for the impact of a solid sphere against a solid bar. The solution is provided following a nonlinear differential equation governs the stress pulse created in the bar. The code is written in MATLAB. The user interface was developed using MATLAB's App Designer interface.
Note: Requires Symbolic Math Toolbox to Perform symbolic math computations downloadble from Matlab toolbox section.

Nomenclature

ballbarnom

For Bar:

ρ = Density (kg/m3)
R = Radius of bar (m)
C = Speed of stress wave (m/s)
E1 = Young's Modulus of bar material (N/m2)
v1 = Poissons ratio of bar material
t = Charateristic time/cycle time (s)

For Ball:

r = radius of material (m)
E2 = Young's Modulus of ball material (N/m2)
v2 = Poissons ratio of ball material

Setup

image

Version: 2.0

Last Updated: 24/7/2020

Total Versions: 2