Optimal placement and active vibration control for piezoelectric smart flexible cantilever plate
Optimal placement and active vibration control for piezoelectric smart flexible cantilever plate
复制标题
压电智能柔性悬臂板的优化放置与主动振动控制
DOI：
10.1016/j.jsv.2006.10.018
复制
发表时间：
2007-04-03
影响因子：
4.7
通讯作者：
Zhang, Hong-Hua
中科院分区：
文献类型：
--
作者：
Qiu, Zhi-Cheng;Zhang, Xian-Min;Zhang, Hong-Hua
航天器上的挠性附件，如太阳帆板、卫星天线等，都是悬臂板结构。因此，参数不确定性和环境干扰将导致振动问题。本文采用压电陶瓷片作为传感器和驱动器来抑制智能柔性固支板的振动。首先推导了悬臂板的模态方程和压电控制方程。其次，基于悬臂板的能观度和能控度指标，提出了压电作动器和传感器的优化布置方法。采用带宽巴特沃思滤波器实现了弯扭模态的解耦。第三，提出了一种将位置正反馈和比例微分控制相结合的有效减振控制方法。对模态频率、瞬态响应和控制响应进行了分析。最后，设计并搭建了压电智能板的实验装置。通过模态识别方法得到了板装置的模态频率和阻尼比。对悬臂板的弯曲模态和扭转模态的振动控制进行了实验研究。分析和实验结果表明，所提出的控制方法是可行的，优化布局方法是有效的。(c)2006爱思唯尔有限公司保留所有权利。
Some flexible appendages of spacecraft are cantilever plate structures, such as sun plate and satellite antenna. Thus, vibration problem will be caused by parameter uncertainties and environmental disturbances. In this paper, piezoelectric ceramics patches are used as sensors and actuators to suppress the vibration of the smart flexible clamped plate. Firstly, modal equations and piezoelectric control equations of cantilever plate are derived. Secondly, an optimal placement method for the locations of piezoelectric actuators and sensors is developed based on the degree of observability and controllability indices for cantilever plate. The bending and torsional modes are decoupled by the proposed method using bandwidth Butterworth filter. Thirdly, an efficient control method by combining positive position feedback and proportional-derivative control is proposed for vibration reduction. The analytical results for modal frequencies, transient responses and control responses are carried out. Finally, an experimental setup of piezoelectric smart plate is designed and built up. The modal frequencies and damping ratios of the plate setup are obtained by identification method. Also, the experimental studies on vibration control of the cantilever plate including bending modes and torsional modes are conducted. The analytical and experimental results demonstrate that the presented control method is feasible, and the optimal placement method is effective. (c) 2006 Elsevier Ltd. All rights reserved.