Two-loop implicit integration method based on backward differential formulation for differential-algebraic equations of multibody system dynamics

被引：2
|
作者：
Zhang L. [1 ]
Zhang D. [1 ]
机构：
[1] School of Science, Nanjing University of Science and Technology, Nanjing
来源：
Zhang, Dingguo (zhangdg419@mail.njust.edu.cn) | 1600年 / Chinese Mechanical Engineering Society卷 / 52期
关键词：
BDF; DAEs; Iteration; Jacobian matrix; Multibody system dynamics;
D O I：
10.3901/JME.2016.07.079
中图分类号：
学科分类号：
摘要：
An iterative method is needed when implicit integration method is used to integrate the independent coordinates of differential-algebraic equations (DAEs) which come from multibody system dynamics. If the iterative method is Newton's method, numerical differentiation is needed to obtain the Jacobian matrix. A fixed-point iterative method without the using of the Jacobian matrix can simplify the progress. The nonlinear algebraic constraint equations in DAEs are also solved by iteration to obtain the dependent coordinates. A two-loop structure is designed to manage those two iterations. The numerical accuracy of the integration method influences the numbers of iteration of implicit integration method which is called as the outer loop. Backward differential formulation (BDF) is introduced as the integration method into the two-loop method. New strategy is proposed to constitute the new two-loop method. The numbers of iteration of outer loop in the new two-loop method are reduced, and the computational efficiency is improved. The new two-loop method can solve the DAEs of multibody system dynamics well, and its universality is good. Numerical examples are provided. © 2016 Journal of Mechanical Engineering.
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页码：79 / 87
页数：8
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