On multiple impact
type: Item
instance of: scholarly article
title: On multiple impact
zbMATH Open document ID: 0902.70009
DOI: 10.1016/0021-8928(95)00122-0
published in: Journal of Applied Mathematics and Mechanics
publication date: 1997-11-04T00:00:00Z
review text: The problem of collision between material rigid objects is of historical as well as practical importance. The relationships, paradoxes and challenges in the study of multiple impacts form the contents of the present paper. The author discusses the following topics: methods for solving the multiple-impact problems, collision of three spheres, three-dimensional collision between three balls, collision of three bodies of arbitrary shape, collision between many bodies, and collision of constrained bodies. In each part suitable examples are presented for detailed analysis. In the final section the author provides detailed conclusions arrived at as a result of earlier studies on particular problems. Three kinds of multiple impacts are addressed depending on the configuration of the systems and the dynamical properties of the colliding bodies: regular type, stochastic type, and quasi-level type. The author obtains regularity criteria for a collision between three or more free bodies and for the impact of a physical pendulum against an obstacle.
Mathematics Subject Classification ID: 70F35
zbMATH DE Number: 1077520
zbMATH Keywords: many-body collision
zbMATH Keywords: regular collisions
zbMATH Keywords: stochastic collisions
zbMATH Keywords: collisions of quasi-level type
zbMATH Keywords: collision of three spheres
zbMATH Keywords: collision of three bodies of arbitrary shape
zbMATH Keywords: collision of constrained bodies
zbMATH Keywords: regularity criteria
zbMATH Keywords: physical pendulum
author: A. P. Ivanov
MaRDI profile type: Publication
full work available at URL: 0021-8928(95)00122-0
OpenAlex ID: W1980871186
cites work: Q3836784
cites work: Impacts in a system with certain unilateral couplings
cites work: Q3997178
cites work: Q5735014
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description: scientific article; zbMATH DE number 1077520