二维柔性多体系统非线性动力响应分析

Analysis on Nonlinear Dynamic Response of 2D Flexible Multibody System

基于包含轴向变形效应的Euler梁非线性理论,引用梁横向和纵向振动的精确模态描述变形场,利用拉格朗日乘子法建立起柔性多体系统约束非线性动力学方程。该非线性方程自动计及了动力刚化的影响。结合Newmark直接积分法和Newton-Raphson迭代法,导出了求解该非线性代数-微分方程组的数值方法。仿真算例证明了本文方法的正确性和有效性。

The nonlinear dynamic problems of flexible multibody system are investigated. The nonlinear Euler beam theory with inclusion of axial deformation effect is employed and its deformation field is described by the exact transverse vibration modes and longitudinal vibration modes. The nonlinear control equations of miltibody system, which take into account the stiffening effect, are deduced by using the Lagrange multiplier method. A numerical procedure for solving the dynamic equations is presented based on the Newmark direct integration method combined with the Newton-Raphson iterative method. The results of numerical examples demonstrate the correctness and efficiency of the present method.