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ISSN:2164-6457 (print)
ISSN:2164-6473 (online)
Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain

Email: miguel.sanjuan@urjc.es

Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email: aluo@siue.edu

The Relationship Between the Laws of Conservation of Energy and Momentum for Low Speed Impact of Several Bodies

Journal of Applied Nonlinear Dynamics 9(2) (2020) 259--271 | DOI:10.5890/JAND.2020.06.008

D. I. Chernyavsky, D. D. Gapon

Omsk state technical university, Mira Avenue, 11, Omsk, 644050, Russian Federation

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Abstract

The classical theory of stereo-mechanical impact is widely used in practice. This theory is based on the law of conservation of energy and the law of conservation of momentum. The main purpose of this study is to determine the optimal mass ratios and velocity ratios of colliding bodies, which are the basis of the impact mechanism. The solution of this problem is necessary for calculating the maximum energy efficiency of the impact system. In this paper, we obtain a coupling equation for the energy and momentum conservation laws, as well as for the Newtonian restitution coefficient equation for a simultaneous central stereo-mechanical impact of bodies.

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