Dynamic analysis of a rotating rigid-flexible coupled smart structure with large deformations  

作　　者：黄永安 邓子辰 姚林晓 

机构地区：[1]School of Mechanics,Civil Engineering and Architecture,Northwestern Polytechnical University,Xi'an 710072,P.R.China School of Mechanical Science and Engineering,Huazhong University of Science and Technology,Wuhan 430074,P.R.China [2]School of Mechanics,Civil Engineering and Architecture,Northwestern Polytechnical University,Xi'an 710072,P.R.China State Key Laboratory of Structural Analysis of Industrial Equipment,Dalian University of Technology,Dalian 116024,P.R.China [3]School of Mechanics,Civil Engineering and Architecture,Northwestern Polytechnical University,Xi'an 710072,P.R.China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2007年第10期1349-1360,共12页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(Nos.10572119,10632030 and 50625516);the Program for New Century Excellent Talents in University(No.NCET-04-0958);the Major State Basic Research Development Program of China(973 Program)(No.2003CB716207);the Open Foundation of State Key Laboratory of Structural Analysis of Industrial Equipment of China

摘　　要：Based on Hamilton＇s principle, a new kind of fully coupled nonlinear dynamic model for a rotating rigid-flexible smart structure 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 approximation coupling （FOAC） model theory, in which large deformations and the centrifugal stiffening effects are considered. Three kinds of systems are established respectively, which are a structure 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 closed 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.Based on Hamilton＇s principle, a new kind of fully coupled nonlinear dynamic model for a rotating rigid-flexible smart structure 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 approximation coupling （FOAC） model theory, in which large deformations and the centrifugal stiffening effects are considered. Three kinds of systems are established respectively, which are a structure 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 closed 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：multibody system smart beam finite element method large deformations 

分 类 号：O313.3[理学—一般力学与力学基础]