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The restitution coefficient for a linear elastic rod

Authors
Journal
Mathematical and Computer Modelling
0895-7177
Publisher
Elsevier
Publication Date
Volume
28
Identifiers
DOI: 10.1016/s0895-7177(98)00132-0
Keywords
  • Impact Problem
  • Restitution Coefficient

Abstract

Abstract We consider a linear elastic rod that comes to impact with a rigid obstacle under the action of a constant body force. The restitution coefficient is defined as the ratio between the rebound velocity and the approaching velocity at the impact end of the rod. We derive an explicit formula that computes the restitution coefficient in terms of the physical parameters of the problem.

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