柔性板的模态价值降阶及其主动控制研究  

MODAL COST REDUCTION AND ACTIVE CONTROL OF A FLEXIBLE PLATE

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：《动力学与控制学报》2008年第4期348-352,共5页Journal of Dynamics and Control

基　　金：国家自然科学基金(10772112;10472065);教育部重点项目(107043);高校博士点基金(20070248032)资助项目~~

摘　　要：对柔性板的模型降阶和主动控制进行研究,并且进行实验验证.首先采用假设模态方法给出系统的动力学方程,然后采用价值模态分析方法进行降阶研究.考虑到弱阻尼系统,文中给出了一种价值模态分析方法的近似公式.控制律采用最优控制方法进行设计.仿真和实验结果显示,价值模态分析方法能够有效地显示出系统各阶模态的重要程度,因此能够有效地对系统模型进行降阶.Model reduction and active control of a flexible plate were investigated and experimented to verify the theoretical result. Firstly,the dynamic equation of the plate was presented using the assumed mode method. Then model reduction was studied using the modal cost analysis (MCA) method. Considering the system with small damping,a simplified approach for the MCA method was presented.An active controller was designed using the classical optimal control method. Simulation and experimental results indicate that...

关 键 词：柔性板 模型降阶 模态价值分析方法 主动控制 实验 

分 类 号：O313[理学—一般力学与力学基础]