电流变夹层板滑模振动控制.PDF

第36 卷 第2 期 噪 声 与 振 动 控 制 Vol 36 No.2 2016 年4 月 NOISE AND VIBRATION CONTROL Apr. 2016 文章编号：1006-1355(2016)02-0194-05 电流变夹层板滑模振动控制 陈春强，陈 前 ( 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 ) 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。 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 中图分类号：O241 ；O328 文献标识码：A DOI 编码：10.3969/j.issn. 1006-1335.2016.02.043 Vibration Control of an Electrorheological Sandwich Plate Using Sliding Control Method CHEN Chun-qiang , CHEN Qian ( State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China ) Abstract : 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