主动约束层阻尼板的振动控制研究

STUDY ON VIBRATION CONTROL OF THIN PLATE WITH ACTIVE CONSTRAINED LAYER DAMPING

研究局部附加主动约束层阻尼 (activeconstrainedlayerdamping ,ACLD)结构板的振动控制问题。基于Hamilton原理 ,提出一种新的建立主动约束层阻尼板动力学模型的方法 ,同时给出一种用于确定粘弹材料GHM (Golla Hughes Mctavish)模型参数的优化问题。采用GHM方法描述弹性材料的本构关系 ,将粘弹性材料的动力特性描述与工程上最常用的有限元分析结合起来 ,推导得到ACLD结构的动力学方程为标准二阶定常线性系统方程。应用LQR控制理论进行结构振动控制仿真 ,结果表明 ,本文给出的新建模方法是准确可靠的 ,ACLD结构能够有效抑制结构振动。

The fundamentals of active vibration control of the plate with local active constrained layer damping (ACLD) are analyzed theoretically. A new modeling method for sandwich plate with voscoelastic core and a new feasible problem to determine the parameters of Golla Hughes Mctavish (GHM) model are presented in this paper. Finite element method (FEM) is combined with the GHM method of viscoelastic material (VEM) to describe the dynamic characteristics of a cantilever sandwich plate with voscoelastic core. Such method can avoid time consuming iteration in vibration problem. LQR method of classic control theory is used to simulate the vibration control of sandwich plate with voscoelastic core. The results obtained indicate that ACLD treatments can attenuate the structure vibration effectively. Also, comparisons with the performance of convention passive constrained layer damping (PCLD) clearly demonstrate the merits of the ACLD as an effective means for suppressing the vibration of the flat thin plate.