Main Catalog Informatics, Computer Engineering and Control Mathematical Modelling. Numerical Methods, and Software Systems

Nonlinear elastoplastic model of collinear impact

Authors: Lapshin V.V., Yurin E.A.	Published: 16.02.2016
Published in issue: #1(64)/2016
DOI: 10.18698/1812-3368-2016-1-90-99
Category: Informatics, Computer Engineering and Control \| Chapter: Mathematical Modelling. Numerical Methods, and Software Systems
Keywords: collinear collision, coefficient of restitution, nonlinear dynamics

A nonlinear elastoplastic model of collinear impact of a body with a fixed obstacle is investigated. This model is constructed on the basis of Hertz and Hunt-Crossley impact model. The first integrals of the equations for motion throughout the phases of deformation and restitution are obtained. The coefficient of restitution and kinetic energy lost at the impact as well as their dependence on the dry friction coefficient are determined. The solution to the equations of body motion in the process of impact is found in quadratures. The results of mathematical modeling are presented.

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