On the Problem of Similar Motions of a Chain of Coupled Heavy Rigid Bodies

Dmitriy Chebanov ()
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Dmitriy Chebanov: City University of New York – LaGCC

A chapter in Mathematical and Computational Approaches in Advancing Modern Science and Engineering, 2016, pp 47-57 from Springer

Abstract: Abstract This chapter contributes to the study of dynamic properties of a chain of n heavy Hess tops coupled by ideal spherical joints by constructing a new class of particular solutions of the equations of chain’s motion. The new class describes the chain’s motions under which all bodies move similar to each other. We establish conditions for existence of the new solutions and show how the equations of motion can be reduced to quadratures in the case when these conditions are fulfilled.

Keywords: Heavy Rigid Body; Similar Movements; Ideal Spherical Joint; Body Augmentation; Absolute Angular Velocity (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-30379-6_5

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DOI: 10.1007/978-3-319-30379-6_5

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