密集频率柔性板的内平衡模型降阶及其主动控制  

BALANCED REDUCTION AND ACTIVE CONTROL OF FLEXIBLE PLATE WITH DENSE FREQUENCIES

作　　者：章敏[1] 蔡国平[1] 

机构地区：[1]上海交通大学工程力学系,上海200240

出　　处：《工程力学》2009年第11期161-166,共6页Engineering Mechanics

基　　金：国家自然科学基金项目(10772112;10472065);教育部重点项目(107043);教育部博士点基金项目(20070248032);上海市教委重点项目(09ZZ17)

摘　　要：该文对密集频率柔性板的模型降阶和主动控制进行研究,其中动力学建模采用有限元方法,模型降阶采用内平衡降阶准则,控制设计采用最优控制方法。研究中将内平衡降阶方法和模态价值降阶方法进行了数值对比研究。仿真结果显示,内平衡模型降阶方法是一种有效的模型降阶方法,能够处理密频情况下的模型降阶问题。Model reduction and active control of a flexible plate with dense frequencies are investigated. Firstly, dynamic model of the plate is established using the finite element method; then the balanced reduction method is applied to get a lower-order model; finally an active controller is designed using the optimal control method. The balanced reduction method is numerically compared with the modal cost analysis （MCA） method. Simulation results indicate that, the balanced reduction method is effective in reducing the degree of freedom of the plate, and is applicable for dense-frequency case.

关 键 词：密集频率柔性板 有限元方法 内平衡模型降阶 模态价值分析 主动控制 

分 类 号：TB122[理学—工程力学]