Numerical Solution and Experiment Researches on Flexible Multibody Dynamics

In this paper, a numerical solution method and an experiment research on flexible multibody dynamics are presented. The augment method is employed to transfer the differential-algebraic equations into differential equations, both generalized coordinates and lagrange multipliers are treated as unknowns, and the second-order self-correcting algorithm is introduced to guarantee convergence. The lagrange multipliers are eliminated analytically, and the half implicit Runge-Kutta formula is taken for solving the differential equations. The whole procedure is developed into a FORTRAN program. An elastic linkage test bed and a measuring system are made for verification. The computing results are in agreement with the measuring data.