多体系统离散时间传递矩阵法与有限元法混合方法

利用多体系统离散时间传递矩阵法（MS—DT—TMM）处理同时含有小运动小变形弹性体子系统和大运动多刚体子系统的机械系统，将两子系统的连接处作为各个子系统的边界，采用有限元法建立小变形弹性体子系统动力学方程，采用MS—DT—TMM模拟多体子系统动力学，联合这两套方程可进行总体系统动力学分析，形成了多体系统离散时间传递矩阵法与有限元法的混合方法。通过数值算例证明了方法有效，为扩展MS—DT—TMM的应用范围提供了途径。

Hybrid Method of Discrete Time Transfer Matrix Method for Multibody System Dynamics and Finite Element Method

The mechanical system consisting of both subsystem of elastic body with small deformation and subsystem of rigid multibody is analyzed by discrete time transfer matrix method for multibody system dynamics ( MS-DT-TMM). The connected points between the two subsystems are regarded as a boundary of each subsystem. The dynamics equations of the elastic body are deduced by the finite element method (FEM). The global transfer matrix equation of the multibody subsystem is obtained by MS-DT-TMM. Combining these two sets of equation, the dynamics analysis of the global system is implemented. A hybrid method of the MS-DT-TMM and the FEM is established. The numerical example to validate the proposed method is given. This method provides an effective channel to extend the application scope of the MS-DT-TMM.