考虑大变形的刚-柔耦合旋转智能结构动力学分析  

Dynamic Analysis of a Rotating Rigid-Flexible Coupled Smart Structure With Large Deformations

作　　者：黄永安[1] 邓子辰[1] 姚林晓[1] 

机构地区：[1]西北工业大学力学与土木建筑学院

出　　处：《应用数学和力学》2007年第10期1203-1212,共10页Applied Mathematics and Mechanics

基　　金：国家自然科学基金资助项目(105721191063203050625516);教育部新世纪优秀人才计划资助项目(NCET-04-0958);国家重点基础研究发展计划(973)资助项目(2003CB716207);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资助项目

摘　　要：基于Hamilton原理对带端部质量的刚柔耦合旋转智能结构建立了耦合的非线性动力学模型.根据一阶近似耦合(FOAC)模型理论,通过有限元方法,得到了系统的有限维模型.模型中考虑了轴向、横向位移和转动角度的非线性几何效应,以及压电材料和结构的大变形及离心刚化效应.在有限元模型的基础上,建立了3种实际系统模型方程,分别是无压电层的结构,有压电层开环状态和闭环状态.最后基于简化模型的仿真结果显示出有端部质量和没有端部质量的差异,智能结构梁在闭环和开环的差异,高速旋转梁的离心作用及结构外加电载荷的动力响应.Based on Hamilton＇s principle, a new kind of fully coupled nonlinear dynamic model for a rotating rigid-flexible smart structure, e with a tip mass is proposed. The geometrically nonlinear effects of the axial, transverse displacement and rotation angle are considered by means of the first-order ap- pmximalion coupling （FOAC） model theory, in which the large deformations and the centrifugal stiffening effects are considered. Three kinds of systems are established respectively, which are a structnre without piezoelectric layer, with piezoelectric layer in open circuit and closed circuit. Several simulations based on simplified models are presented to show the differences in characteristics between structures with and without the tip mass, between smart beams in dosed and open circuit, and between the centrifugal effects in high speed rotating state or not. The last simulation calculates the dynamic response of the structure subjected to external electrical loading.

关 键 词：刚柔结构 智能结构 有限元模型 大变形 

分 类 号：O313.3[理学—一般力学与力学基础]