分布参数压电层合梁的振动主动控制  

ACTIVE VIBRATION CONTROL OF DISTRIBUTED PARAMETER PIEZOELECTRIC BEAM

作　　者：任建亭[1] 阎云聚[1] 姜节胜[1] 

机构地区：[1]西北工业大学振动研究所,西安710079

出　　处：《机械强度》2000年第4期303-306,共4页Journal of Mechanical Strength

基　　金：陕西省自然科学基金(97C27);机械工业部教育司基金(98251241)资助

摘　　要：建立了悬臂梁上粘贴一段压电陶瓷片实现振动控制的动力学方程 ,定义了压电层合梁的压电消耗功率 ,并针对悬臂梁这一分布参数控制系统 ,提出确保控制系统闭环稳定的设计方法。最后通过数值算例证明了该方法的有效性。A variational mathematical model is developed using Hamilton's principle to describe the dynamic behaviour of beam with partly covered piezo electric ceramics layer. The resulting dynamic equation of beam shows that the power dissipated through the piezo electric ceramics layer is the function of the electric field, the axial velocity and the slope velocity of piezo electric ceramics layer at the boundaries. For the distributed parameter system, a self sensing and actuating piezo electric ceramics layer may be an appropriate design in dissipating vibration energy without causing instability. The effectiveness of piezo electric ceramics layer on damping out the vibration of the cantilever beams is analyzed for different control gain and different location. The results obtained demonstrated the high damping characteristics of the vibration controller.

关 键 词：振动控制 分布参数 

分 类 号：TB535.1[理学—物理] TB123[理学—声学]