摘要
本文从虚功原理出发,在弹性小变形假设的前提下,采用模态坐标表示柔性体的弹性变形,推出了包括高阶非线性项在内的多体链系统动力学方程。以此为依据,编制了求解多体链系统动力响应的数值模拟程序,并对由二个柔性杆和由三个柔性杆组成的具有铰弹簧的系统在外驱动力矩作用下的动响应进行了数值模拟。文中分析和探讨了影响这类强非线性方程的数值解稳定性的问题,并提出了参数匹配的概念。
In this paper. dynamical equations of a flexible multibody chain are derived by the virtual work principle lor dynamics. It is assumed that the elastic deformation of the flexible bodies is small so that it can be expressed in terms of the superposition of natural modes. On the basis of the dynamical equation, a numerical simulation software of dynamical response of a multibody system is completed. Then, the chain system consisting of two or three flexible links with torsional spring at joints, subject to external torques is computed. Finally. the numerical stability characteristics of the dynamical equation are investigated and an insight into the solution of the problem is obtained.
出处
《振动工程学报》
EI
CSCD
1992年第2期145-149,共5页
Journal of Vibration Engineering
基金
国家自然科学基金
关键词
动力学
非线性振动
数值模拟
dynamics
flexible structure
nonlinear vibration
numerical simulation
multibody chain system
