Stability of Motion for a Constrained Birkhoff’s System in Terms of Independent Variables

Mei Fengxiang

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Mei Fengxiang. Stability of Motion for a Constrained Birkhoff’s System in Terms of Independent Variables[J]. Applied Mathematics and Mechanics, 1997, 18(1): 55-60.

Citation:

Mei Fengxiang. Stability of Motion for a Constrained Birkhoff’s System in Terms of Independent Variables[J]. Applied Mathematics and Mechanics, 1997, 18(1): 55-60.

Citation:

Mei Fengxiang. Stability of Motion for a Constrained Birkhoff’s System in Terms of Independent Variables[J]. Applied Mathematics and Mechanics, 1997, 18(1): 55-60.

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Stability of Motion for a Constrained Birkhoff’s System in Terms of Independent Variables

Mei Fengxiang

Department of Applied Mechanics, Beijing Institute of Technology, Beijing 100081, P. R. China

Received Date: 1995-10-16
Publish Date: 1997-01-15

Abstract

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.
- dynamics,
- Birkhoff’s system,
- stability of motion

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References(10)

References

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