STABILITY OF MOTION FOR A CONSTRAINED BIRKHOFF’S SYSTEM IN TERMS OF INDEPENDENT VARIABLES

Applied Mathematics and Mechanics (English Edition) ›› 1997, Vol. 18 ›› Issue (1): 55-60.

STABILITY OF MOTION FOR A CONSTRAINED BIRKHOFF’S SYSTEM IN TERMS OF INDEPENDENT VARIABLES

梅凤翔

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

收稿日期:1995-10-16 出版日期:1997-01-18 发布日期:1997-01-18
基金资助:
Project supported by the National Natural Science Foundation and the Doctorial Programme Foundation of Institution of Higher Education of China

STABILITY OF MOTION FOR A CONSTRAINED BIRKHOFF’S SYSTEM IN TERMS OF INDEPENDENT VARIABLES

Mei Fengxiang

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

Received:1995-10-16 Online:1997-01-18 Published:1997-01-18
Supported by:
Project supported by the National Natural Science Foundation and the Doctorial Programme Foundation of Institution of Higher Education of China

摘要/Abstract

摘要： This paper proposes firstly the pfaff-Birkhoff-D’Alembert s principle and obtainsthe equations of motion in terms of the independent variables for a constrained Birkhoff’s system from the principle. Secondly, it establishes the equations ofperturbation of the system. Finally, it obtains the stability criteria by using theLiaqpunov direct method and the firstly approximate method.

梅凤翔. STABILITY OF MOTION FOR A CONSTRAINED BIRKHOFF’S SYSTEM IN TERMS OF INDEPENDENT VARIABLES[J]. Applied Mathematics and Mechanics (English Edition), 1997, 18(1): 55-60.

Mei Fengxiang. STABILITY OF MOTION FOR A CONSTRAINED BIRKHOFF’S SYSTEM IN TERMS OF INDEPENDENT VARIABLES[J]. Applied Mathematics and Mechanics (English Edition), 1997, 18(1): 55-60.

STABILITY OF MOTION FOR A CONSTRAINED BIRKHOFF’S SYSTEM IN TERMS OF INDEPENDENT VARIABLES

STABILITY OF MOTION FOR A CONSTRAINED BIRKHOFF’S SYSTEM IN TERMS OF INDEPENDENT VARIABLES

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