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IssuesArchive of Issues2002-5pp.11-15

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A. E. Voinov, A. P. Ivanov, and N. N. Romanova, "Investigation of a triple collinear impact," Mech. Solids. 37 (5), 11-15 (2002)
Year 2002 Volume 37 Number 5 Pages 11-15
Title Investigation of a triple collinear impact
Author(s) A. E. Voinov (Moscow)
A. P. Ivanov (Moscow)
N. N. Romanova (Moscow)
Abstract An elastic collision of three rigid bodies moving translationally along a fixed straight line is considered. It is assumed that before the collision, two of the bodies have contact but do not move, while the third body moves freely. We investigate the characteristics of the impact depending on the parameters of the system-mass ratios and contact rigidity ratios. This system is shown to have resonance properties that predetermine the result of the impact. These properties are more pronounced in the case where the mass of the central body is relatively small. In this case, the impact can be formed by a large number of alternating collisions of the central body with the lateral ones.
References
1.  W. Goldsmith, Impact [Russian translation], Stroiizdat, Moscow, 1965.
2.  Ya. G. Panovko, Introduction to the Theory of Mechanical Impact [in Russian], Nauka, Moscow, 1977.
3.  J. A. Zukas, T. Nicholas, and H. F. Swift (Editors), Impact Dynamics [Russian translation], Mir, Moscow, 1985.
4.  A. P. Ivanov, Dynamics of Systems with Mechanical Impacts [in Russian], Mezhdunarod. Progr. Obrazovaniya, Moscow, 1997.
5.  A. P. Ivanov, "On impacts in a system with several unilateral constraints," PMM [Applied Mathematics and Mechanics], Vol. 51, No. 4, pp. 559-566, 1987.
Received 10 January 2000
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