Application of Wu Elimination Method to Constrained Dynamics

JIA Yi-feng; CHEN Yu-fu; XU Zhi-qiang

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JIA Yi-feng, CHEN Yu-fu, XU Zhi-qiang. Application of Wu Elimination Method to Constrained Dynamics[J]. Applied Mathematics and Mechanics, 2006, 27(10): 1226-1234.

Citation:

JIA Yi-feng, CHEN Yu-fu, XU Zhi-qiang. Application of Wu Elimination Method to Constrained Dynamics[J]. Applied Mathematics and Mechanics, 2006, 27(10): 1226-1234.

Citation:

JIA Yi-feng, CHEN Yu-fu, XU Zhi-qiang. Application of Wu Elimination Method to Constrained Dynamics[J]. Applied Mathematics and Mechanics, 2006, 27(10): 1226-1234.

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Application of Wu Elimination Method to Constrained Dynamics

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

Received Date: 2005-09-20
Rev Recd Date: 2006-04-12
Publish Date: 2006-10-15

Abstract

Abstract

The polynomial type Lagrange equation and Hamilton equation of finite dimensional constrained dynamics are 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.
- Hamilton system,
- constrained dynamics,
- characteristic chain,
- Hessian matrix

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References(8)

References

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