Quasiinvariant gyroscopic systems

descriptionPublicationkeyboard_double_arrow_right Article 01 Jul 1982 English Publisher:Springer Science and Business Media LLCJournal:Soviet Applied Mechanics, volume 18, pages 657-660 (issn: 0038-5298, eissn: 1573-8582,

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Authors: Sosnitskij, S. P.;

doi: 10.1007/bf00886269

Quasiinvariant gyroscopic systems

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Abstract

Let a conservative gyroscopic system have a large coefficient H in the \(L_ 1\) (linear) term of its Lagrangian. Then the \(L_ 2\) and \(L_ 0\) terms are individually time-invariant to within the order \(\epsilon =1/H\). Gyroscopic forces prevent energy conversion between kinetic and potential forms. The small oscillation of a gyroscopic pendulum is used as an example.

Keywords

Nonlinear dynamics in mechanics, small oscillation, Motion of the gyroscope, conservative, energy conversion between kinetic and potential forms, gyroscopic pendulum, quasi-invariant

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