压电悬臂板的非线性振动控制

华南理工大学学报(自然科学版) ›› 2012, Vol. 40 ›› Issue (11): 45-51.

压电悬臂板的非线性振动控制

邱志成凌德芳

华南理工大学机械与汽车工程学院，广东广州 510640

收稿日期:2012-05-30 修回日期:2012-06-28 出版日期:2012-11-25 发布日期:2012-10-01
通信作者: 邱志成(1973-) ，男，教授，博士生导师，主要从事挠性结构振动控制研究． E-mail:zhchqiu@scut.edu.cn
作者简介:邱志成(1973-) ，男，教授，博士生导师，主要从事挠性结构振动控制研究．
基金资助:
国家自然科学基金资助项目( 51175181， 60934001) ; 华南理工大学中央高校基本科研业务费专项资金资助项目( 2012ZZ0060)

Nonlinear Vibration Control of Piezoelectric Cantilever Plate

Qiu Zhi-cheng Ling De-fang

School of Mechanical and Automotive Engineering,South China University of Technology,Guangzhou 510640,Guangdong,China

Received:2012-05-30 Revised:2012-06-28 Online:2012-11-25 Published:2012-10-01
Contact: 邱志成(1973-) ，男，教授，博士生导师，主要从事挠性结构振动控制研究． E-mail:zhchqiu@scut.edu.cn
About author:邱志成(1973-) ，男，教授，博士生导师，主要从事挠性结构振动控制研究．
Supported by:
国家自然科学基金资助项目( 51175181， 60934001) ; 华南理工大学中央高校基本科研业务费专项资金资助项目( 2012ZZ0060)

摘要/Abstract

摘要： 针对柔性悬臂板结构弯曲和扭转模态振动的测量、控制问题，采用压电传感器和驱动器进行优化配置及非线性振动控制．首先，建立了粘贴分布式压电片的悬臂板有限元模型; 其次，基于所建立的模型和一种能量耗散方法进行了压电驱动器/传感器的位置配置，实现了弯曲和扭转模态振动在检测及驱动上的解耦; 最后，提出一种非线性控制算法，建立了压电悬臂板实验平台，通过实验进行弯曲和扭转模态振动控制的比较研究．结果表明，该非线性控制算法可以更快速地抑制振动，传感器/驱动器配置可以实现弯曲和扭转模态振动的测量及控制解耦．

关键词: 压电悬臂板, 振动主动控制, 有限元建模, 传感器/驱动器配置, 非线性控制算法

Abstract:

This paper deals with the measurement and control of the bending and torsional mode vibrations for flexible cantilever plates,and performs the optimal placement and nonlinear vibration control of piezoelectric sensors and actuators. In the investigation,first,a finite element model of a cantilever plate with bonded distributed piezoelectric patches is established. Next,the location placement of piezoelectric sensors /actuators is performed based on the established model and an energy dissipation method,and the decoupling of the bending and torsional mode vibrations on measurement and driving is achieved. Then,a nonlinear control algorithm is proposed and an experimental setup of the piezoelectric cantilever plate is constructed. Finally,a comparative research on the bending and torsional vibration control is carried out by experiments. The results demonstrate that the proposed nonlinear control algorithm can suppress the vibration of the cantilever plate more quickly,and the location placement of piezoelectric sensors /actuators helps to achieve the measurement and control decoupling of bending and torsional mode vibrations.

Key words: piezoelectric cantilever plate, active vibration control, finite element modeling, sensor /actuator placement, nonlinear control algorithm

中图分类号:

邱志成凌德芳. 压电悬臂板的非线性振动控制[J]. 华南理工大学学报(自然科学版), 2012, 40(11): 45-51.

Qiu Zhi-cheng Ling De-fang. Nonlinear Vibration Control of Piezoelectric Cantilever Plate[J]. Journal of South China University of Technology(Natural Science Edition), 2012, 40(11): 45-51.