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李俊峰, 王照林. 有约束阻尼的非保守力学系统的稳定性[J]. 力学学报, 1997, 29(4): 501-505. DOI: 10.6052/0459-1879-1997-4-1995-259
引用本文: 李俊峰, 王照林. 有约束阻尼的非保守力学系统的稳定性[J]. 力学学报, 1997, 29(4): 501-505. DOI: 10.6052/0459-1879-1997-4-1995-259
Zhaolin Wang. ON THE STABILITY OF DISSIPATIVE MECHANICAL SYSTEMS WITH CONSTRAINT DAMPING[J]. Chinese Journal of Theoretical and Applied Mechanics, 1997, 29(4): 501-505. DOI: 10.6052/0459-1879-1997-4-1995-259
Citation: Zhaolin Wang. ON THE STABILITY OF DISSIPATIVE MECHANICAL SYSTEMS WITH CONSTRAINT DAMPING[J]. Chinese Journal of Theoretical and Applied Mechanics, 1997, 29(4): 501-505. DOI: 10.6052/0459-1879-1997-4-1995-259

有约束阻尼的非保守力学系统的稳定性

ON THE STABILITY OF DISSIPATIVE MECHANICAL SYSTEMS WITH CONSTRAINT DAMPING

  • 摘要: 利用Lyapunov直接法,研究了有势力、陀螺力、Rayleigh阻尼和约束阻尼同时作用的非线性非保守力学系统的稳定性.假设陀螺力依赖某参数h,得到系统渐近稳定的两个定理.

     

    Abstract: The paper investigates the stability of a nonlinear dissipative mechanical system subjected to potential force, gyroscopic force, Rayleigh dampingand constraint damping, using direct Liapunov method. Assuming that the gyroscopic force depends on a parameter, two asymptotically stability theorems are obtained, and the lower bounds of the parameter are evaluated.

     

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