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The stability of steady motions of non-holonomic chaplygin systems

โœ Scribed by V.I. Kalenova; V.M. Morozov


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
570 KB
Volume
66
Category
Article
ISSN
0021-8928

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โœฆ Synopsis


A stability theorem is established for steady motions of non-holonomic Chaplygin systems, with cyclic coordinates, acted upon by potential and dissipative forces, generalizing a previously proved theorem [ 11. The theorem enables rigorous sufficient conditions for the stability of steady motions of non-holonomic systems to be derived in cases that are more general than those considered hitherto. As an example, the problem of the stability of the steady motions of a one-wheeled carriage is considered.


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