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The theory of gyroscopic systems with non-conservative forces

โœ Scribed by V.N. Koshlyakov; V.L. Makarov

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
399 KB
Volume
65
Category
Article
ISSN
0021-8928

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โœฆ Synopsis

Results obtained previously [1,2], which are applicable to mechanical systems containing non-conservative positional forces, are developed and generalized. The necessary and sufficient conditions are formulated for the transition to a certain matrix equation, the use of which enables one to overcome the difficulties associated with the existence of non-conservative positional structures in the initial equations. The above-mentioned conditions are expressed directly in terms of the matrix coefficients of the initial equation. This technique is used to analyse the exact equations of a four-gyroscope vertical (without using the equations of precessional theory) under the assumption that it is mounted on a base which moves with respect to the Earth.

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