粘弹性材料参数随机性对PCLD板动力学特性的影响  

Influences of viscoelastic material parameters randomness on dynamic characteristics of passive constrained layer damping plate

作　　者：李九天[1] 唐国金[1] 李恩奇[1] 李道奎[1] 雷勇军[1] 

机构地区：[1]国防科学技术大学航天与材料工程学院,长沙410073

出　　处：《强度与环境》2008年第1期21-28,共8页Structure & Environment Engineering

基　　金：国家863资助项目(2002AA001006);湖南省博士后基金项目

摘　　要：使用分布参数传递函数方法研究了阻尼层粘弹性材料随机性对被动约束层阻尼(PCLD)板动力学特性的影响。首先从Hamilton原理出发建立了PCLD板的动力学方程,引入状态向量,建立了系统的状态空间方程,利用分布参数传递函数方法求解方程得到了四边简支PCLD板的固有频率和损耗因子。以粘弹性材料分数导数模型中的参数作为基本的随机变量,并假设其服从正态分布。使用Monte Carlo直接抽样法研究了材料参数的随机性对PCLD板结构固有频率和模态损耗因子的影响。计算结果表明,粘弹性材料参数的随机性对板动力学特性具有较大的影响,因此对PCLD结构采取随机分析是非常必要的。The dynamics analysis of a passive constrained layer damping （PCLD） plate considering randomness of viscoelastic damping layer is studied using the transfer function method. The equations of the PCLD plate of motion are derived by using the Hamilton principle. After introducing the state vector, the governing equation in state space is established, then the closed-form solutions of natural frequencies and loss factors of a simply supported PCLD plate are obtained by the distributed parameter transfer function method. The parameters in fractional derivative model of viscoelastic material are regarded as the base random variables, which follow normal distribution in this analysis. The influence of parameter randomness on the natural frequency and the mode loss factor of the structure is analyzed using the Monte Carlo method. Numerical examples show that the randomness has obvious effects on the PCLD plate dynamic characteristic, therefore it is necessary to carry out the random analysis for PCLD structures.

关 键 词：分布参数传递函数方法 约束层阻尼板 粘弹性 动力学 随机变量 MONTE Carlo法 

分 类 号：O327[理学—一般力学与力学基础]