桁架系统的模型降阶及其主动控制研究  

Model reduction and active control of a trussed structure

作　　者：章敏[1] 谢永[1] 蔡国平[1] 

机构地区：[1]上海交通大学,上海200240

出　　处：《应用力学学报》2011年第4期397-401,453,共5页Chinese Journal of Applied Mechanics

基　　金：国家自然科学基金(11072146;11002087)

摘　　要：对桁架结构系统的模型降阶和主动控制进行了研究。系统模型采用有限元方法进行建模;模型降阶分别采用模态价值分析方法和内平衡降阶方法;控制设计采用最优控制方法。同时详细给出了模态价值分析方法和内平衡降阶方法的降阶过程,并将两者的结果进行了数值对比。仿真结果显示,两种降阶方法均能够有效地对桁架系统进行模型降阶,本文采用的最优控制律能够有效地抑制结构的振动。In this paper,model reduction and active control of a trussed structure are investigated.The finite element method is used to establish the dynamic equation of the structure,the methods of modal cost analysis and internal balance transformation are both used to reduce the model order of the structure,and the optimal control method is used for controller design.The two model reduction methods are detailedly introduced and numerical comparison for the two methods is done.Simulation results indicate that the two reduction methods are effective in reducing the model order of the structure,and the structural vibration may be suppressed effectively by using the optimal controller.

关 键 词：桁架 模态价值分析方法 内平衡降阶方法 主动控制 

分 类 号：O327[理学—一般力学与力学基础]