复合材料层合板振动主动控制的方法研究  

Study on active vibration control of composite laminated plates

作　　者：孙爱琴[1] 王建国[1] 

机构地区：[1]合肥工业大学土木建筑工程学院,安徽合肥230009

出　　处：《合肥工业大学学报（自然科学版）》2005年第10期1312-1316,共5页Journal of Hefei University of Technology：Natural Science

基　　金：教育部高等学校博士学科点专项科研基金资助项目(20030359005)

摘　　要：根据H am ilton原理,推导出复合材料层合板在四边简支的边界条件和各阶板理论下的振动控制方程,求得系统的频率、振幅。利用能量准则求出线性二次型最优调节器(LQR)方法中的权系数矩阵Q和R的值,求解R iccati方程后,得到位移和控制力;并利用M athem atic对系统进行仿真分析,得到各种因素对系统振动控制的影响,为以后控制和优化系统提供有力的根据。According to the Hamilton principle, the equation of vibration control of composite laminated plates with the simply supported boundary condition using various plate theories is deduced, and the frequency and amplitude of the system are gained. Then according to the energy criterion the weight coefficient matrix Q and R in using the linear quadratic regulator method are given. Through solving the Riccati equation,the displacement and control force are obtained.. Simulation analysis of the system is carried out by using the Mathematic program,and the effects of various factors on the vibration control of the system are analyzed. The results are useful to the vibration control and optimization of the system.

关 键 词：HAMILTON原理 复合材料层合板 LQR 振动控制 系统仿真 

分 类 号：O328[理学—一般力学与力学基础]