非线性系统动力学微分代数方程约束违约的自动修正

Self correction algorithm of constraint errors of differential algebrai c equations for nonlinear system dynamics

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违约的自动修正方法．数值算例说明了该方法的有效性．

? 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.