环状分块覆盖ACLD圆柱壳振动分析的新矩阵方法  

A matrix method for analyzing vibration of a circular cylindrical shell with ring blocking active constrained damping layer

作　　者：向宇[1] 袁丽芸[1,2] 陆静[1,2] 黄玉盈[2] 

机构地区：[1]广西工学院汽车工程系,广西柳州545006 [2]华中科技大学土木工程与力学学院,湖北武汉430074

出　　处：《振动工程学报》2010年第3期275-282,共8页Journal of Vibration Engineering

基　　金：国家自然科学基金资助项目(10662003)

摘　　要：基于被动约束层阻尼(PCLD)圆柱层合壳振动分析的研究工作,进一步考虑主动约束层的压电效应,通过在其运动方程中直接施加压电控制力,导出了环状分块敷设主动约束层阻尼(ACLD)圆柱层合壳的整合一阶常微分矩阵方程,并采用新型齐次扩容精细积分法和叠加原理,建立了分析此类ACLD圆柱壳振动控制问题的一种高精度矩阵方法,进而还研究了轴对称自由振动情况下的阻尼特性以及在地面运动激励下的响应。通过数值计算发现,采用与结构响应中的占优模态成分相匹配的分布电压控制方式对振动的抑制效果更好,可称之为占优模态控制策略。Based on the authors′ recent works about passive constrained layer damping（PCLD） laminated circular cylindrical shells,further considering the piezoelectric effect of active constrained layer,an integrated first order differential matrix equation of a sandwich circular cylindrical shell with ring blocking active constrained layer damping treatments（ACLD） is derived by adding the piezoelectric control forces directly into the motion equations of active constrained layer.using the extended homogeneous capacity precision integration and the superposition principle,a new high-precision matrix method is established for solving the dynamics problems of such kind of ACLD circular cylindrical shells.Finally,the damping characteristics of the axisymmetric free vibration and the responses under the harmonic ground motion are studied.Numerical calculations show that the distributed voltage of control,which matches the dominant mode component of the main structure,remarkably suppress the dynamics responses.This kind of control mode is called the dominant mode control.

关 键 词：主动约束层阻尼 夹层圆柱壳 整合一阶常微分矩阵方程 传递矩阵法 占优模态控制策略 

分 类 号：TH133[机械工程—机械制造及自动化] TU311[建筑科学—结构工程]