AN AUTOMATIC CONSTRAINT VIOLATION STABI- LIZATION METHOD FOR DIFFERENTIAL/ ALGEBRAIC EQUATIONS OF MOTION IN MULTIBODY SYSTEM DYNAMICS

Applied Mathematics and Mechanics (English Edition) ›› 2000, Vol. 21 ›› Issue (1): 103-108.

AN AUTOMATIC CONSTRAINT VIOLATION STABI- LIZATION METHOD FOR DIFFERENTIAL/ ALGEBRAIC EQUATIONS OF MOTION IN MULTIBODY SYSTEM DYNAMICS

赵维加, 潘振宽, 王艺兵

Qingdao University, Qingdao 266071, P R China

收稿日期:1997-12-21 修回日期:1999-10-30 出版日期:2000-01-18 发布日期:2000-01-18
基金资助:
the National Natural Science Foundation of China(19902006);the Natural Science Foundation of Sandong Province(Y97F06152),China

AN AUTOMATIC CONSTRAINT VIOLATION STABI- LIZATION METHOD FOR DIFFERENTIAL/ ALGEBRAIC EQUATIONS OF MOTION IN MULTIBODY SYSTEM DYNAMICS

Zhao Weijia, Pan Zhenkuan, Wang Yibing

Qingdao University, Qingdao 266071, P R China

Received:1997-12-21 Revised:1999-10-30 Online:2000-01-18 Published:2000-01-18
Supported by:
the National Natural Science Foundation of China(19902006);the Natural Science Foundation of Sandong Province(Y97F06152),China

摘要/Abstract

摘要： A new automatic constraint violation stabilization method for numerical integration of Euler_Lagrange equations of motion in dynamics of multibody systems is presented. The parameters α,β used in the traditional constraint violation stabilization method are determined according to the integration time step size and Taylor expansion method automatically. The direct integration method, the traditional constraint violation stabilization method and the new method presented in this paper are compared finally.

关键词: dynamics of multibody systems, Euler_Lagrange equations, constraint violation stabilization

Abstract: A new automatic constraint violation stabilization method for numerical integration of Euler_Lagrange equations of motion in dynamics of multibody systems is presented. The parameters α,β used in the traditional constraint violation stabilization method are determined according to the integration time step size and Taylor expansion method automatically. The direct integration method, the traditional constraint violation stabilization method and the new method presented in this paper are compared finally.

Key words: dynamics of multibody systems, Euler_Lagrange equations, constraint violation stabilization

中图分类号:

O313

赵维加;潘振宽;王艺兵. AN AUTOMATIC CONSTRAINT VIOLATION STABI- LIZATION METHOD FOR DIFFERENTIAL/ ALGEBRAIC EQUATIONS OF MOTION IN MULTIBODY SYSTEM DYNAMICS[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(1): 103-108.

Zhao Weijia;Pan Zhenkuan;Wang Yibing. AN AUTOMATIC CONSTRAINT VIOLATION STABI- LIZATION METHOD FOR DIFFERENTIAL/ ALGEBRAIC EQUATIONS OF MOTION IN MULTIBODY SYSTEM DYNAMICS[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(1): 103-108.

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AN AUTOMATIC CONSTRAINT VIOLATION STABI- LIZATION METHOD FOR DIFFERENTIAL/ ALGEBRAIC EQUATIONS OF MOTION IN MULTIBODY SYSTEM DYNAMICS

AN AUTOMATIC CONSTRAINT VIOLATION STABI- LIZATION METHOD FOR DIFFERENTIAL/ ALGEBRAIC EQUATIONS OF MOTION IN MULTIBODY SYSTEM DYNAMICS

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