Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
 Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936

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V. P. Legeza, "Numerical analysis of plane motion of a ball in a cycloidal cavity between two movable supports," Mech. Solids. 38 (6), 8-12 (2003)
Year 2003 Volume 38 Number 6 Pages 8-12
Title Numerical analysis of plane motion of a ball in a cycloidal cavity between two movable supports
Author(s) V. P. Legeza (Kiev)
Abstract Dynamic equations governing plane motion of a homogeneous ball in a cycloidal cavity between upper and lower movable supports are formed on the basis of Appel's nonholonomic mechanics. The system moves in the gravity field and is subjected to an external kinematic excitation. A numerical analysis of the behavior of this system is carried out for a typical set of initial data and parameters of the system.
References
1.  B. G. Korenev and I. M. Rabinovich (Editors), Dynamic Design of Structures for Special Disturbances: A Designer's Handbook [in Russian], Stroiizdat, Moscow, 1981.
2.  R. W. Clough and J. Pensien, Structural Dynamics [Russian translation], Stroiizdat, Moscow, 1979.
3.  F. R. Gantmakher, Lectures on Analytical Mechanics [in Russian], Nauka, Moscow, 1966.
4.  A. I. Lur'e, Analytical Mechanics [in Russian], Fizmatgiz, Moscow, 1961.
5.  V. Z. Alad'ev and V. G. Tupalo, Reading Book for Computer Users (PC Software) [in Russian], Ukr. Entsiklopediya, Kiev, 1993.
Received 08 January 2001
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