平面柔性梁的刚-柔耦合动力学特性分析与仿真  

Analysis and imitation of dynamic properties for rigid-flexible coupling systems of a planar flexible beam

作　　者：和兴锁[1] 李雪华[1] 邓峰岩[1] 

机构地区：[1]西北工业大学工程力学系,西安710072

出　　处：《物理学报》2011年第2期377-382,共6页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:10672133)资助的课题~~

摘　　要：针对大范围运动规律为未知的刚-柔耦合系统研究其动力学特性.利用有限元方法对柔性梁进行离散,采用Lagrange方程建立平面柔性梁的刚-柔耦合动力学方程,研究在大范围运动为自由情况下,平面柔性梁的大范围运动和变形运动的相互耦合机理,比较零次模型、一次耦合模型及精确模型的差异,探讨各种模型的适用性.The finite element method is used for the system discretization and the coupling dynamic equations of flexible beam are obtained by Lagrange＇s equations. The second order coupling terms between rigid large overall motion,arc length stretch,lateral flexible deformation kinematics and torsional deformation terms are included in the present exact coupling model to expand the theory of one-order coupling model. The dynamic response of the present model is compared with that of zero-order approximate model and one-order coupling model. Then the changes of dynamic stiffening terms due to the new coupling terms are discussed according to different models. At the same time,the effect of initial static deformation in the tip is considered to study the vibrant deformation of flexible beam. The difference between zero-order approximate model,one-order coupling model and the present exact model is revealed by the frequency spectrum analysis method and it is concluded that the speed of overall motion is a vital cause for the difference between different models. And we found that the dynamic stiffening phenomenon still exists in rigid-flexible coupling system while the overall motion is free. But the effect of dynamic stiffening in the present exact model is not as severe as that in the one-order coupling model.

关 键 词：平面柔性梁 刚-柔耦合系统 动力学特性 分析与仿真 

分 类 号：O313.7[理学—一般力学与力学基础]