New class of exact solutions for the equations of motion of a chain of $n$ rigid bodies

Dmitriy Chebanov

doi:10.3934/proc.2013.2013.105

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2013, Volume 2013: 105-113. Doi: 10.3934/proc.2013.2013.105 open access

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New class of exact solutions for the equations of motion of a chain of $n$ rigid bodies

Dmitriy Chebanov^1,

1.
Department of Mathematics, Engineering, and Computer Science, City University of New York, LaGCC, Long Island City, NY 11101

Received: August 31, 2012

Published: October 2013

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Abstract

In this paper we construct a new class of nonstationary exact solutions for the equations of motion of a classical model of multibody dynamics -- a chain of $n$ heavy rigid bodies that are sequentially coupled by ideal spherical hinges. We establish sufficient conditions for the existence of the solutions and show how the equations of motion can be reduced to quadratures in the case when these conditions are fulfilled.

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Mathematics Subject Classification: 70E55, 70E40, 70E17.

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References

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