可控约束阻尼层板的杂交控制  

Vibration Hybrid Control of Plate with Controllable Constrained Damping Layer

作　　者：张希农[1] 陈灵[1] 李智明 张景绘[1] 

机构地区：[1]西安交通大学,西安710049 [2]航天工业总公司一院一部,北京100076

出　　处：《应用力学学报》1999年第3期15-21,共7页Chinese Journal of Applied Mechanics

基　　金：自然科学基金重点项目;西安交大科研基金

摘　　要：用局部压电层控制约束阻尼约束层产生一种新的主、被动杂交控制形式，称为可控约束层。本文根据弹性材料、粘弹性材料、压电材料的本构关系和变形连续条件，建立了可控约束阻尼层板的控制微分方程；从理论上证明了用离散小压电片组合来代替整体压电层而不影响作动效果，改善了结构的工艺性；利用Ｇａｌｅｒｋｉｎ 方法和ＧＨＭ方法建立了系统的近似低阶控制方程；对一试验模型进行了控制数值模拟和试验实现，结果表明这种杂交控制方式对抑制板的振动有较好的效果，且控制频带宽，可靠性高。Controllable constrained damping layer consists of a viscoelastic shear layer sandwiched between the structure to be dampened and a cover sheet which is attached with piezoelectric patches as an actuator. According to measured vibration response of the structure, a feedback controller regulates in plane deformation of piezoelectric patches to perform active control. In this paper, the vibration control of a plate with controllable constrained damping layer is studied. The governing equation is derived based on the constitutive equations of the elastic, viscoelastic, and piezoelectric materials, and deformation continuity conditions. It is theoretically shown that global piezoelectrc layer can be replaced with many pieces of little patch, which has no influence on the effect of the actuation and makes the manufacture of the actuator easy. A lower order governing equation is obtained by using Galerkin method and GHM method. Numerical simulation of the system is done in the case of using proportional feedback control. The hybrid control experiment of a cantilever plate with controllable constrained layer is completed. The numerical result is basically agreed with the test. The research shows that the hybrid control method studied in this paper is a better way to suppress structure vibration and is of wider control frequency range and better reliability.

关 键 词：板 振动控制 杂交控制 减振 粘弹性 约束阻尼 

分 类 号：TB123[理学—工程力学] O328[理学—力学]