Applied Mathematics and Mechanics

, Volume 18, Issue 1, pp 55–60 | Cite as

Stability of motion for a constrained Birkhoff's system in terms of independent variables

  • Mei Fengxiang


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 Liapunov direct method and the firstly approximate method.

Key words

dynamics Birkhoff's system stability of motion 


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Copyright information

© Editorial Committee of Applied Mathematics and Mechanics 1980

Authors and Affiliations

  • Mei Fengxiang
    • 1
  1. 1.Department of Applied MechanicsPeking Institute of TechnologyBeijingP. R. China

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