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

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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 Liapunov direct method and the firstly approximate method.

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Authors and Affiliations

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

    Mei Fengxiang

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  1. Mei Fengxiang
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Additional information

Communicated by Fan Dajun

Project supported by the National Natural Science Foundation and the Doctorial Programme Foundation of Institution of Higher Education of China.

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Fengxiang, M. Stability of motion for a constrained Birkhoff's system in terms of independent variables. Appl Math Mech 18, 55–60 (1997). https://doi.org/10.1007/BF02457501

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  • DOI: https://doi.org/10.1007/BF02457501

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