Research Of Modeling And Numerical Method For Dynamics Of Flexible Multibody Systems

Recently, the dynamics of flexible multibody systems is taking more and more attention. modeling and numerical solutions are its kernel contents. In this paper, both modeling methods and numerical solutions are studied.This paper firstly deals with the theory of flexible multibody dynamics, modeling method, the analyzing method of dynamic stiffening of flexible body. With general symbolic computation software(Mathematica), the important mass matrix, differential coefficient and the general forces related to velocity binomial in dynamics dominate equations are induced. Secondly, various numerical methods for dynamics of flexible multibody systems are discussed, and then focus on the discussion of some correction algorithm of constraint violation, the advantages and disadvantages, applied range of those methods are analyzed. A new method for constraint stabilization is presented. At each time step, the initial iterative values were evaluated by Newmark-βmethod, and then the Newton-Raphson iterative formula for modifying the displacements and Lagrange multipliers was derived from the Taylor expansions of the control and constraint equations, so that it can meet the control and constraint equations of multibody systems. Finally, the effectiveness of the presented method is illustrated by the simulation results of one typical example.