標題: Necessary and sufficient conditions for the stability of a sleeping top described by three forms of dynamic equations
作者: Ge, Zheng-Ming
機械工程學系
Department of Mechanical Engineering
公開日期: 1-Apr-2008
摘要: Necessary and sufficient conditions for the stability of a sleeping top described by dynamic equations of six state variables, Euler equations, and Poisson equations, by a two-degree-of-freedom system, Krylov equations, and by a one-degree-of-freedom system, nutation angle equation, is obtained by the Lyapunov direct method, Ge-Liu second instability theorem, an instability theorem, and a Ge-Yao-Chen partial region stability theorem without using the first approximation theory altogether.
URI: http://dx.doi.org/10.1103/PhysRevE.77.046606
http://hdl.handle.net/11536/9529
ISSN: 1539-3755
DOI: 10.1103/PhysRevE.77.046606
期刊: PHYSICAL REVIEW E
Volume: 77
Issue: 4
起始頁: 0
結束頁: 0
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