电流变夹层板滑模振动控制  

Vibration Control of an Electrorheological Sandwich Plate Using Sliding Control Method

作　　者：陈春强[1] 陈前[1] 

机构地区：[1]南京航空航天大学机械结构力学及控制国家重点实验室,南京210016

出　　处：《噪声与振动控制》2016年第2期194-198,共5页Noise and Vibration Control

基　　金：中央高校基本科研业务费专项资金资助项目;江苏高校优势学科建设工程资助项目

摘　　要：为实现板结构振动控制,基于滑动模态控制思想,设计适用于电流变夹层结构的变刚度控制器,并且推导两类控制律——滑模控制律和简化的开关控制律。先将电流变液处理为可控黏弹性材料,基于Hamilton原理建立电流变夹层板有限元模型。设计滑模控制器时,首先将系统变换到模态空间,然后利用LQR最优控制理论设计控制面函数,设计电流变夹层板的滑模控制器,最后给出两个近似的半主动控制律。对悬臂电流变夹层板进行仿真分析,设计的滑模控制器能显著降低电流变夹层板振动水平,均方根降幅达到88.23%,取得明显优于被动控制的减振效果,体现电流变夹层结构在板结构振动控制应用中的前景。Based on the sliding mode control algorithm, a new active variable stiffness controller was presented and employed to deduce both control laws:continuous sliding mode control law and ON-OFF sliding mode control law. First of all, assuming that the electrorheological (ER) fluids behave as viscoelastic materials and their storage modulus and loss modulus depend on the applied electric fields, the kinetic equations of a sandwich plate with the ER materials layer were derived based on the Hamilton’s principle and finite element method (FEM). The effects of the electric fields on the natural frequencies and modal loss factors of the sandwich plate were obtained. The kinetic equations of the sandwich plate system were transformed to a modal system before designing the sliding mode controller. Then, the sliding surface was designed by LQR optimal control theory, and two semi-active control laws were proposed. The results of numerical simulation of a cantilever ER sandwich plate show that this control method is very effective in attenuating the structural vibration. The mean square root of displacement at point P has depressed about 88%. The attenuation effect is much better than that of passive control.

关 键 词：振动与波 电流变液夹层板 有限元法 滑模控制 半主动控制 

分 类 号：O241[理学—计算数学] O328[理学—数学]