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大范围运动的柔性曲线梁动力学建模及仿真
引用本文:金国光,刘又午,王树新.大范围运动的柔性曲线梁动力学建模及仿真[J].天津大学学报(自然科学与工程技术版),2004,37(7):629-633.
作者姓名:金国光  刘又午  王树新
作者单位:[1]天津工业大学机电学院,天津300160 [2]天津大学机械工程学院,天津300072
摘    要:针对航天器等领域中应用柔性曲梁的动力学问题,基于有限元方法,将连续的柔性曲线梁离散化为具有12个自由度的空间梁单元模型.为缩减系统的运动学变量数目,将柔性曲线梁的物理坐标转化为模态坐标.在此基础上,依据Kane方程建立了作大范围运动的柔性空间曲线梁非线性动力学模型.动力学数值仿真的结果表明。对小曲率柔性曲线梁,其横向变形比纵向变形大得多.

关 键 词:柔性曲线梁  有限元法  大范围运动  动力学模型  仿真
文章编号:0493-2137(2004)07-0629-05
修稿时间:2003年3月5日

Dynamic Modeling and Simulation of Flexible Curve Beam with Large Overall Motion
JIN Guo-guang,LIU You-wu,WANG Shu-xin.Dynamic Modeling and Simulation of Flexible Curve Beam with Large Overall Motion[J].Journal of Tianjin University(Science and Technology),2004,37(7):629-633.
Authors:JIN Guo-guang  LIU You-wu  WANG Shu-xin
Institution:JIN Guo-guang~1,LIU You-wu~2,WANG Shu-xin~2
Abstract:The dynamic problems of flexible curve beam widely existed in the field of spacecraft.Based upon finite element method (FEM), the spatial beam element with twelve degrees of freedom is obtained by discretizing the flexible curve beam. The physical coordinates of flexible curve beam are changed into mode coordinates so as to reduce the number of kinematic variables. The nonlinear dynamic modeling of flexible curve beam with large overall motion is established according to Kane's equations. The dynamic numerical simulation results show that the transverse deflection is much greater than the longitudinal deflection for the flexible curve beam with small curvature.
Keywords:flexible curve beam  finite elemant method  large overall motion  dynamic modeling  simulation  
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