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Skew-gradient representations of constrained mechanical systems

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Abstract

The characteristics of stationary and non-stationary skew-gradient systems are studied. The skew-gradient representations of holonomic systems, Birkhoffian systems, generalized Birkhoffian systems, and generalized Hamiltonian systems are given. The characteristics of skew-gradient systems are used to study integration and stability of the solution of constrained mechanical systems. Examples are given to illustrate applications of the result.

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Authors and Affiliations

  1. School of Aerospace Engineering, Beijing Institute of Technology, Beijing, 100081, China

    Fengxiang Mei

  2. School of Science, Jiangnan University, Wuxi, 214122, Jiangsu Province, China

    Jinchao Cui

Authors
  1. Fengxiang Mei
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  2. Jinchao Cui
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Corresponding author

Correspondence to Jinchao Cui.

Additional information

Project supported by the National Natural Science Foundation of China (Nos. 10932002 and 11272050)

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Mei, F., Cui, J. Skew-gradient representations of constrained mechanical systems. Appl. Math. Mech.-Engl. Ed. 36, 873–882 (2015). https://doi.org/10.1007/s10483-015-1954-9

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  • DOI: https://doi.org/10.1007/s10483-015-1954-9

Keywords

Chinese Library Classification

2010 Mathematics Subject Classification

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