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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 problem of vibration control of locally attached activeconstrainedlayer damping (ACLD) structural plates is investigated. Based on the Hamilton principle, a new method to establish the dynamic model of the damping plate with active constraint layer is proposed, and an optimization problem for determining the parameters of the GHM (Golla Hughes Mctavish) model is given. GHM method is used to describe the constitutive relation of elastic material. The kinetic characterization of viscoelastic material is combined with the most commonly used finite element analysis in engineering. The dynamic equation of ACLD structure is derived as the standard second-order stationary linear system equation. The application of LQR control theory to the structural vibration control simulation shows that the new modeling method presented in this paper is accurate and reliable. The ACLD structure can effectively suppress the structural vibration.