A Symplectic Algorithm for the Dynamics of a Rigid Body

LU Ying-jie; REN Ge-xue

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LU Ying-jie, REN Ge-xue. A Symplectic Algorithm for the Dynamics of a Rigid Body[J]. Applied Mathematics and Mechanics, 2006, 27(1): 47-52.

Citation:

LU Ying-jie, REN Ge-xue. A Symplectic Algorithm for the Dynamics of a Rigid Body[J]. Applied Mathematics and Mechanics, 2006, 27(1): 47-52.

Citation:

LU Ying-jie, REN Ge-xue. A Symplectic Algorithm for the Dynamics of a Rigid Body[J]. Applied Mathematics and Mechanics, 2006, 27(1): 47-52.

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A Symplectic Algorithm for the Dynamics of a Rigid Body

Department of Engineering Mechanics, Tsinghua University, Beijing 100084, P. R. China

Received Date: 2004-05-14
Rev Recd Date: 2005-09-10
Publish Date: 2006-01-15

Abstract

Abstract

For the dynamics of a rigid body with a fixed point based on quaternion and the corresponding generalized momenta,a displacement_based symplectic integration scheme for differential_algebraic equations is proposed and applied to the Lagrange's equations based on dependent generalized momenta.Numerical experiments show that the algorithm possesses such characters as high precision and preserving system invariants.More importantly,the generalized momenta based Lagrange's equations show unique advantages over the traditional Lagrange's equations in symplectic integrations.
- rigid_body dynamics,
- quaternion,
- generalized momenta,
- symplectic integration

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References(11)

References

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