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非线性系统动力学微分代数方程约束违约的自动修正
引用本文:孔向东,钟万勰.非线性系统动力学微分代数方程约束违约的自动修正[J].大连理工大学学报,1999,39(1):22-25.
作者姓名:孔向东  钟万勰
作者单位:大连理工大学工程力学研究所
摘    要:运用最优控制思想,讨论了多体系统动力学DAEs数值计算方法,推出了约束违约误差可达计算机有效精度的Baumgarte最佳违约修正系数。给出了具有高精度,高效率,强稳定性的非线性系统动力学约束约的自动修理方法,数值算例说明了该方法的有效性。

关 键 词:动力学  非线性系统  约束违约修正  微分代数方程

Self correction algorithm of constraint errors of differential algebrai c equations for nonlinear system dynamics
KONG\ Xiang dong,\ ZHONG\ Wan xie.Self correction algorithm of constraint errors of differential algebrai c equations for nonlinear system dynamics[J].Journal of Dalian University of Technology,1999,39(1):22-25.
Authors:KONG\ Xiang dong  \ ZHONG\ Wan xie
Abstract:? Based on the idea of the optimal control, the method of DAEs for multibody system dynamics is discussed. The best Baumgarte's correction parameters which reduce the constraint errors to the machine precision are obtained. A high precision, efficiency and stability self correction algorithm of constraint errors for nonlinear system dynamics is presented. The effectiveness of the present method is demonstrated by numerical example.
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