温度梯度场中梁的形变控制研究  

Shape control of a beam in a thermal gradient field

作　　者：马驰骋[1] 张希农[1] 谢石林[1] 

机构地区：[1]西安交通大学工程力学系/机械结构强度与振动国家重点实验室,陕西西安710049

出　　处：《振动工程学报》2012年第2期181-185,共5页Journal of Vibration Engineering

摘　　要：5介绍了一种新型的压电作动器—层叠式压电作动器,并使用这种作动器对温度场中的梁进行了形状控制研究。根据哈密顿原理,得到了粘贴有层叠式压电作动器的梁结构的控制方程,进行了数值仿真,并且用Comsol软件进行了模拟,两者的结果基本一致。对压电作动器的控制电压进行了优化,得到了最优控制电压。由于层叠式压电作动器的控制力与压电片的层数成二次函数关系,当控制电压恒定时,层叠式压电作动器的控制力随着压电器层数的增加而迅速减小。使用层叠式压电作动器可以在比其他作动器更小的电压下取得更好的控制效果。通过与普通压电作动器的比较,可以发现层叠式压电作动器可以有效地降低作动器的施加电压,而且可以显著增强控制效果。这种形状控制方法为应用层叠式压电作动器进行薄壁结构的形状控制提供了理论基础。As many structures are working in temperature gradient fields, change of temperature causes change of thermal stress, then the structures can deform so much so that the structure may be damaged. It is a mayor way to control the shape of the structures using smart materials or intelligent structures. This paper introduces a kind of special piezoelectric actuators-laminated piezoelectric actuators, and conducts a survey of shape control of a beam structure in a temperature gradient field. Based on the Hamilton＇s principle, the governing equations of the beam bonded with laminated piezoelectric actuators are derived. And numerical simulation is performed, getting a coincident result as the data gotten by Comsol software. In the process of study, the control voltages are optimized to get the optimal control voltages. Because the control forces are quadratic functions of the layer numbers of the laminated piezoelectric actuators, if increase layers of piezoelectric patches, much bigger control forces will be obtained than usual piezoelectric actuators when given same voltages. Especially, a better control effect is achieved also. In a word, compared with usual piezoelectric actuators, using laminated piezoelectric actuators, the working voltages can he lowered effectively, as well as the control result improved validly. The new control method does provide an effective measure to control the shape chanues of the structures in thermal gradient field.

关 键 词：温度梯度 形状控制 层叠式压电作动器 优化 

分 类 号：TB535.1[理学—物理]