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Avtomatika i Telemekhanika, 2015, Issue 3, Pages 32–43 (Mi at14196)  
This article is cited in 4 scientific papers (total in 4 papers)

Nonlinear Systems

Dynamics of a parallelepiped on a horizontal vibrating plane

A. V. Karapetyana, M. A. Munitsynab

a Moscow State University, Moscow, Russia
b Moscow Institute of Physics and Technology (State University), Dolgoprudny, Russia
Full-text PDF (423 kB) Citations (4)
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Abstract: We consider the dynamics of a rigid parallelepiped on a horizontally vibrating rigid support plane and the possibility to control its oscillations. We assume that there is no slipping of the parallelepiped's base along the plane. We find such excitation parameters for which the parallelepiped breaks off from the plane and performs oscillations, resting upon alternating support edges. In case of harmonic oscillations of the plane, we find possible modes of forced oscillations. We study the problem of reducing the amplitude of oscillations for the parallelepiped with a mathematical pendulum. We show results as frequency and phase responses.
Presented by the member of Editorial Board: V. N. Tkhai

Received: 14.11.2013
English version:
Automation and Remote Control, 2015, Volume 76, Issue 3, Pages 394–404
DOI: https://doi.org/10.1134/S0005117915030042
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. V. Karapetyan, M. A. Munitsyna, “Dynamics of a parallelepiped on a horizontal vibrating plane”, Avtomat. i Telemekh., 2015, no. 3, 32–43; Autom. Remote Control, 76:3 (2015), 394–404
Citation in format AMSBIB
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\paper Dynamics of a~parallelepiped on a~horizontal vibrating plane
\jour Avtomat. i Telemekh.
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\issue 3
\pages 32--43
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\jour Autom. Remote Control
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\vol 76
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\pages 394--404
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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