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A field method for integrating the equations of motion of nonholonomic controllable systems

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Abstract

This paper presents a field method for integrating the equations of motion of nonholonomic controllable systems. An example is given to illustrate the application of the method.

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References

  1. Rumyantzev, V. V. and A. S. Sumbatov, On the problem of a generalization of the Hamilton-Jacobi method for nonholonomic systems.ZAMM,58 (1978), 477–481.

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  2. Vujanovié, B., A field method and its application to the theory of vibrations.Int. J. Non-Linear Mechanics,19 (1984), 383–396.

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  3. Mei Feng-xiang, A field method for solving the equations of motion of nonholonomic systems,Acta Mechanica Sinica,5, 3 (1989), 260–268.

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  4. Mei Feng-xiang,Foundation of Mechanics of Nonholonomic Systems, Beijing Institute of Technology Press (1985). (in Chinese).

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Authors and Affiliations

  1. Peking Institute of Technology, Beijing

    Mei Feng-xiang

Authors
  1. Mei Feng-xiang
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Additional information

Communicated by Li Li

Project Supported by the National Natural Science Foundation of China

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Feng-xiang, M. A field method for integrating the equations of motion of nonholonomic controllable systems. Appl Math Mech 13, 181–187 (1992). https://doi.org/10.1007/BF02454241

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  • DOI: https://doi.org/10.1007/BF02454241

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