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刚柔耦合多体系统动力学模型的数值解法
引用本文:陆志华 黄承绪. 刚柔耦合多体系统动力学模型的数值解法[J]. 上海交通大学学报, 1997, 31(6): 65-68
作者姓名:陆志华 黄承绪
作者单位:[1]上海交通大学机械工程系 [2]武汉交通科技大学
摘    要:刚柔耦合多体机械系统动力学微分方程组具有刚性和高频振荡的特点,Gear法通常被认为是求解刚性常微分方程组的经典方法,但当微分方程具有高频振荡的特点时,Gear法失效,因为它不具备A稳定性区域,隐式Rung-Kutta方法是具有A稳定性区域的量它带来了巨大的计算量,文中用Gill法求解该动力学方程组,效果较理想。

关 键 词:多体系统 动力学 刚柔耦合 数值解 机械系统

Research on Numerical Integral Method of Dynamical Model of Rigid Flexible Coupling Multibody Systems
Lu Zhihua. Research on Numerical Integral Method of Dynamical Model of Rigid Flexible Coupling Multibody Systems[J]. Journal of Shanghai Jiaotong University, 1997, 31(6): 65-68
Authors:Lu Zhihua
Abstract:The dynamical equations of rigid flexible coupling multibody systems have characters of stiffness and high frequency oscillation. The Gear method is usually used to solve equations which have the character of stiffness, but it can not solve equations which have the character of high frequency oscillation. The implicit Runge Kutta method can be provided to solve dynamical equations, but its calculation is quite a task. In this paper, the Gill method is presented to solve the dynamical equations and has a good effect.
Keywords:multibody system  rigid flexible coupling  stiff  crane  
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