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Application of Wu elimination method to constrained dynamics

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Abstract

The polynomial type Lagrange equation and Hamilton equation of finite dimensional constrained dynamics were considered. A new algorithm was presented for solving constraints based on Wu elimination method. The new algorithm does not need to calculate the rank of Hessian matrix and determine the linear dependence of equations, so the steps of calculation decrease greatly. In addition, the expanding of expression occurring in the computing process is smaller. Using the symbolic computation software platform, the new algorithm can be executed in computers.

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Authors and Affiliations

  1. Department of Mathematics, Graduate University of Chinese Academy of Sciences, Beijing, 100049, P. R. China

    Jia Yi-feng Doctor  (贾屹峰) & Chen Yu-fu  (陈玉福)

  2. Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100080, P. R. China

    Xu Zhi-qiang  (许志强)

Authors
  1. Jia Yi-feng Doctor  (贾屹峰)
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  2. Chen Yu-fu  (陈玉福)
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  3. Xu Zhi-qiang  (许志强)
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Corresponding author

Correspondence to Jia Yi-feng Doctor  (贾屹峰).

Additional information

Communicated by ZHANG Hong-qing

Project supported by the National Natural Science Foundation of China (No.10401021) and the Scientific Research Foundation of Graduate University of Chinese Academy of Sciences

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Jia, Yf., Chen, Yf. & Xu, Zq. Application of Wu elimination method to constrained dynamics. Appl Math Mech 27, 1399–1408 (2006). https://doi.org/10.1007/s10483-006-1012-y

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  • DOI: https://doi.org/10.1007/s10483-006-1012-y

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