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: | 1-四月-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 |
顯示於類別: | 期刊論文 |