计及非线性变形的空间自由旋转梁有限元模型  

Finite Element Model for Spatial Free-rotating Beam with Nonlinear Deformation

作　　者：姚林晓[1] 邓峰岩[2] 邓子辰[2] 

机构地区：[1]华北水利水电学院,郑州450008 [2]西北工业大学工程力学系,西安710072

出　　处：《机械科学与技术》2007年第10期1324-1331,共8页Mechanical Science and Technology for Aerospace Engineering

基　　金：国家自然科学基金项目(10372084);河南省自然科学基金项目(0511011800;0611010800);教育部新世纪优秀人才计划基金项目;大连理工大学工业装备结构分析国家重点实验室开放基金项目资助

摘　　要：根据柔性梁的几何非线性变形理论,针对大范围运动的空间柔性梁,在考虑了弯曲和扭转的非线性因素对3个变形方向的影响的基础上,利用有限元方法进行离散,得到了较为精确的变形模式。利用Lagrange方程建立了非线性变形模式下的动力学方程,该方程包含了较为完全的刚度矩阵和各种耦合项。对一带有扭转弹簧的中心体-空间柔性梁结构进行仿真计算,说明变形耦合在横向变形中的作用不可忽视。Following the geometrically nonlinear deformation theory, we use the finite element method to discretize a flexible beam that is undergoing large-scope motion, with the influence of the nonlinearity of its bending and twisting on its longitudinal, lateral and transversal deformations taken into account. The deformation pattern thus obtained is rather precise. Furthermore we establish the dynamics equation of the flexible beam with nonlinear deformation using the Lagrange equation. The dynamics equation contains rather complete stiffness matrices and various coupling items. The simulative calculation of a hub-spatial flexible beam structure with torsional springs shows that deformational coupling effects on transversal deformation cannot be neglected.

关 键 词：柔性梁 非线性变形 变形耦合 

分 类 号：O313[理学—一般力学与力学基础]