FINITE ELEMENT MODELING AND ROBUST VIBRATION CONTROL OF TWO-HINGED PLATE USING BONDED PIEZOELECTRIC SENSORS AND ACTUATORS  

作　　者：Zhicheng Qiu Defang Ling 

机构地区：[1]School of Mechanical and Automotive Engineering, South China University of Technology

出　　处：《Acta Mechanica Solida Sinica》2014年第2期146-161,共16页固体力学学报（英文版）

基　　金：Project supported by the General Projects of the National Natural Science Foundation of China(Nos.51175181 and 90505014);the Fundamental Research Funds for the Central Universities,SCUT(Nos.2012ZZ0060 and 2014ZG0019)

摘　　要：Active vibration control for a kind of two-hinged plate is developed in this paper. A finite element model for the hinged plate integrated with distributed piezoelectric sensors and actuators is derived, including bending and torsional modes of vibration. In this model, the hinges are simplified as regular plate elements to facilitate operation. The state space representations for bending and torsional vibrations are obtained. Based on two low-order models of the bending and torsional motion, two H∞ robust controllers are designed for suppressing the vibrations of the bending and torsional modes, respectively. The simulation results indicate the effectiveness and feasibility of the designed H~~ controllers. The vibration magnitudes of the low-order modes can be reduced without affecting the high frequency modes.Active vibration control for a kind of two-hinged plate is developed in this paper. A finite element model for the hinged plate integrated with distributed piezoelectric sensors and actuators is derived, including bending and torsional modes of vibration. In this model, the hinges are simplified as regular plate elements to facilitate operation. The state space representations for bending and torsional vibrations are obtained. Based on two low-order models of the bending and torsional motion, two H∞ robust controllers are designed for suppressing the vibrations of the bending and torsional modes, respectively. The simulation results indicate the effectiveness and feasibility of the designed H~~ controllers. The vibration magnitudes of the low-order modes can be reduced without affecting the high frequency modes.

关 键 词：hinged plate FEM H∞ robust control bending and torsional vibration control 

分 类 号：TP212[自动化与计算机技术—检测技术与自动化装置] TP391.72[自动化与计算机技术—控制科学与工程]