多体系统动力学微分/代数方程修正的约束违约稳定方法(英文)

MODIFIED CONSTRAINT VIOLATION STABILIZATION METHOD FOR DIFFERENTIALALGEBRAIC EQUATIONS IN MULTIBODY SYSTEM DYNAMICS

提出了多体系统动力学微分／代数方程一种修正的约束违约稳定方法。基于数值积分步长和约束函数的Ｔｙｌｏｒ展开对约束数值积分误差进行自动校正。通过单步显式Ｒｕｎｇｅ－ｋｕｔａ方法对本文方法与直接积分方法，传统的约束稳定方法进行了数值比较。

A modified constraint violation stabilization method for differentialalgebraic equations in multibody system dynamics is presented in this paper. The numerical integration error disturbance of constraints is selfcorrected based on integration step size and Tylor expansion of constraints. The single step explicit RungeKutta method is implemented to compare the results obtained through direct integration method, traditional constraint violation stabiliztion method and the modified constraint violation stabilization method given in this paper.