对于具有大范围运动和非线性变形的柔性梁的有限元动力学建模  

Dynamic modeling of a flexible beam with large overall motion and nonlinear deformation using the finite element method

作　　者：和兴锁[1] 邓峰岩[1] 吴根勇[1] 王睿[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》2010年第1期25-29,共5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：研究具有大范围运动和非线性变形的柔性梁的有限元动力学建模.采用有限元方法对梁结构进行离散,利用Lagrange方程建立系统的精确动力学方程.该方程不仅增加了新的表征纵向、横向、侧向弯曲变形,以及扭转变形的耦合项,同时包含了变形运动与大范围运动之间的相互耦合项.In this paper, the dynamic modeling theory of a flexible beam, which incorporates large overall motion and nonlinear deformation, is investigated. As we knows, in spacecraft and space station, there are a lot of flexible appendices, the dynamic modeling of a flexible beam is essential. Yet existing such models, in our opinion, lack several important coupling terms. This paper supplies these important coupling terms. It is reasonable to use geometrically nonlinear deformation fields to demonstrate and simplify a flexible beam undergoing large overall motion. In this paper, 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 complete expression of stiffness matrix and all coupling terms are included in the dynamic equations. The second order coupling terms among rigid large overall motion, arc length stretch, lateral flexible deformation kinematics and torsional deformation terms are concluded in the present exact coupling model to expand the theory of one-order coupling model. The dynamic properties of a planar flexible rotating beam in the non-inertial reference frame are developed.

关 键 词：大范围运动 非线性变形 柔性梁 有限元动力学建模 

分 类 号：O342[理学—固体力学]