A direct violation correction method in numerical simulation of constrained multibody systems

被引:32
作者
Yu, Q [1 ]
Chen, IM [1 ]
机构
[1] Nanyang Technol Univ, Sch Mech & Prod Engn, Singapore 2263, Singapore
关键词
D O I
10.1007/s004660000149
中图分类号
O1 [数学];
学科分类号
0701 [数学]; 070101 [基础数学];
摘要
A new direct violation correction method for constrained multibody systems is presented. It can correct the value of state variables of the systems directly so as to satisfy the constraint equations of motion. During the integration of the dynamic equations of constrained multibody systems, this method can efficiently control the violations of constraint equations within any given accuracy at each time-step. Compared to conventional indirect methods, especially Baumgarte's Constraint Violation Stabilization Method, this method has clear physical meaning, less calculation and obvious correction effect. Besides, this method has minor effect on the form of the dynamic equations of systems, so it is stable and highly accurate. A numerical example is provided to demonstrate the effectiveness of this method.
引用
收藏
页码:52 / 57
页数:6
相关论文
共 23 条
[1]
A RECURSIVE FORMULATION FOR CONSTRAINED MECHANICAL SYSTEM DYNAMICS .1. OPEN LOOP-SYSTEMS [J].
BAE, DS ;
HAUG, EJ .
MECHANICS OF STRUCTURES AND MACHINES, 1987, 15 (03) :359-382
[2]
BAO R, 1971, GEN INVERSE MATRICES
[3]
Baumgarte J., 1972, Computer Methods in Applied Mechanics and Engineering, V1, P1, DOI 10.1016/0045-7825(72)90018-7
[4]
A NEW METHOD OF STABILIZATION FOR HOLONOMIC CONSTRAINTS [J].
BAUMGARTE, JW .
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1983, 50 (4A) :869-870
[5]
A PROJECTION METHOD APPROACH TO CONSTRAINED DYNAMIC ANALYSIS [J].
BLAJER, W .
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1992, 59 (03) :643-649
[6]
CONTRIBUTION TO THE PROJECTION METHOD OF OBTAINING EQUATIONS OF MOTION [J].
BLAJER, W .
MECHANICS RESEARCH COMMUNICATIONS, 1991, 18 (05) :293-301
[7]
AN ORTHONORMAL TANGENT-SPACE METHOD FOR CONSTRAINED MULTIBODY SYSTEMS [J].
BLAJER, W .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1995, 121 (1-4) :45-57
[8]
ON THE ERROR CONTROL FOR MULTISTEP METHODS APPLIED TO ODES WITH INVARIANTS AND DAES IN MULTIBODY DYNAMICS [J].
EICH, E ;
FUHRER, C ;
YEN, J .
MECHANICS OF STRUCTURES AND MACHINES, 1995, 23 (02) :159-179
[9]
Numerical integration of multibody system dynamic equations using the coordinate partitioning method in an implicit Newmark scheme [J].
Fisette, P ;
Vaneghem, B .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1996, 135 (1-2) :85-105
[10]
Jiazhen H., 1992, ACTA MECH SINICA-PRC, V8, P271