Lie Group Integration for Constrained Generalized Hamiltonian System With Dissipation by Projection Method

ZHANG Su-ying; DENG Zi-chen

Volume 25 Issue 4

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Article Navigation > Applied Mathematics and Mechanics > 2004 > 25(4): 385-390

GUO Xing-ming, ZHOU Shi-xing. Optimal Control of Parabolic Variational Inequalities With Stat Constraint[J]. Applied Mathematics and Mechanics, 2003, 24(7): 669-674.

Citation:

ZHANG Su-ying, DENG Zi-chen. Lie Group Integration for Constrained Generalized Hamiltonian System With Dissipation by Projection Method[J]. Applied Mathematics and Mechanics, 2004, 25(4): 385-390.

GUO Xing-ming, ZHOU Shi-xing. Optimal Control of Parabolic Variational Inequalities With Stat Constraint[J]. Applied Mathematics and Mechanics, 2003, 24(7): 669-674.

Citation:

ZHANG Su-ying, DENG Zi-chen. Lie Group Integration for Constrained Generalized Hamiltonian System With Dissipation by Projection Method[J]. Applied Mathematics and Mechanics, 2004, 25(4): 385-390.

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Lie Group Integration for Constrained Generalized Hamiltonian System With Dissipation by Projection Method

ZHANG Su-ying¹,
DENG Zi-chen^1,2

1.
Department of Engineering Mechanics, Northwestern Polytechnical University, Xi'an 710072, P. R. China;

Received Date: 2002-07-17
Rev Recd Date: 2002-07-17
Publish Date: 2004-04-15

Abstract

Abstract

For the constrained generalized Hamiltonian system with dissipation,by introducing Lagrange multiplier and using projection technique,the Lie group integration method was presented,which can preserve the inherent structure of dynamic system and the constraint-invariant.Firstly,the constrained generalized Hamiltonian system with dissipative was converted to the non-constraint generalized Hamiltonian system,then Lie group integration algorithm for the non-constraint generalized Harrultonian system was discussed,finally the projection method for generalized Hamiltonian system with constraint was given It is found that the constraint invariant is ensured by projection tedtnique,and after introducing Lagrange multiplier the Lie group character of the dynamic system can't be deshroyed while projecting to the constraint manifold The discussion is restricted to the case of bolonomic constraint.A presented numerical example shows the effectiveness of the method.
- constrained generalized Hamiltonian system,
- Lie group intehration,
- projection technique

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References(8)

References

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