用独立变量表示的约束Birkhoff系统的运动稳定性*
Stability of Motion for a Constrained Birkhoff’s System in Terms of Independent Variables
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摘要: 首先提出Pfaff-Birkhoff-D'Alembert原理,并由此原理导出约束Birkhoff系统用独立交量表示的运动方程;其次建立系统的受扰运动微分方程;最后利用直接法和一次近似理论得到系统运动稳定性的一些判据.
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关键词:
- 动力学 /
- Birkhoff系统 /
- 运动稳定性
Abstract: This paper proposes firstly the pfaff-Birkhoff-D'Alembert's principle and obtains the equations of motion in terms of the independent variables for a constrained Birkhoff's system from the principle. Secondly, it establishes the equations of perturbation of the system. Finally, it obtains the stability criteria by using the Liaqpunov direct method and the firstly approximate method.-
Key words:
- dynamics /
- Birkhoff’s system /
- stability of motion
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