✦ LIBER ✦

Matrix analysis of some linear gyroscopic systems

✍ Scribed by Leon Y. Bahar; Harry G. Kwatny

Publisher: Elsevier Science
Year: 1992
Tongue: English
Weight: 993 KB
Volume: 329
Category: Article
ISSN: 0016-0032
DOI: 10.1016/0016-0032(92)90080-z

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✦ Synopsis

Explicit solutions for some gyroscopic linear dynamical systems are obtained by selecting a change of the dependent vector variable, which eliminates the velocity term in the transformed equation of motion. The transformation corresponds to the vector counterpart of the technique usedfor the reduction of order in ordinary scalar dtxerential equations. The matrix coeflcients of the equations considered obey a certain commutativity condition, which can be expressed in terms of the vanishing of their Lie product or commutator. For purely gyroscopic systems, the results obtained are compared to a generalization of a method originally proposed by Gantmacher.

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