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.
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.
出处
《天津大学学报（自然科学与工程技术版）》
EI
CAS
CSCD
北大核心
2004年第7期629-633,共5页
Journal of Tianjin University：Science and Technology
关键词
柔性曲线梁
有限元法
大范围运动
动力学模型
仿真
flexible curve beam
finite elemant method
large overall motion
dynamic modeling
simulation
