一维连续体释放和回收过程的构形计算
余本嵩，金栋平
摘要:一维连续体的释放和回收过程由时变的动力学方程描述。将一维连续体离散为有限单元,建立其时变自由度的高维离散动力学模型。通过重新划分单元,重置系统质量、阻尼和刚度矩阵,以及位移和荷载向量,并基于改进的有限差分法,提出了一维连续体释放和回收过程的一种构形计算方法。以柔性索的面内运动为例,计算了其释放和回收过程的动力学构形,实现了一维连续体释放和回收过程的动力学模拟。
关键词：一维连续体；时变系统；释放和回收；构形；有限差分法
Configuration computation for one-dimensional continuum during deployment and retrieval
Bensong Yu, Dongping Jin
Abstract：In this paper, the lumped mass finite element is proposed to describe the one-dimensional continuum during deployment/retrieval. The discrete dynamic model that is capable of describing the time-varying multi-degrees-of-freedom system is presented. Because of the time-varying properties, the local elements of the system need to be redivided when the number of degrees of freedom of the system changes, and accordingly the lumped mass, damping and stiffness matrices as well as the displacements and force vectors are to be updated at every step computation. A configuration computation scheme is developed for solving the time-varying dynamic systems, which is based on an improved finite difference method. A tethered-like pendulum is selected as case studies here to verify the effectiveness of the proposed computational method.
Keyword：one-dimensional continuum; time-varying system; deployment and retrieval; configuration; finite difference method
原文链接：http://www.cjcm.net/jslxxb/ch/reader/view_abstract.aspx?file_no=20110309&flag=1
