黏弹性三维层状系统的动力谱单元的研究  

Dynamic analysis of three-dimensional viscoelastic layer system using spectral element method

作　　者：吴春颖[1] 葛修润[2] 刘学岩[3] A.Scarpas 

机构地区：[1]江苏省交通科学研究院道路工程研究所,南京210017 [2]上海交通大学船舶海洋与建筑工程学院/岩土力学与工程研究所,上海200240 [3]荷兰代尔夫特理工大学土木与地球科学学院/结构力学部

出　　处：《岩土力学》2007年第11期2265-2270,共6页Rock and Soil Mechanics

基　　金：荷兰Nuffic基金会Huygens项目

摘　　要：将黏弹性材料的应力-应变关系和三维谱单元耦合起来,解决三维黏弹性层状体系受冲击荷载的动力问题。此算法将4参量Burgers微分型本构黏弹性模型,方便地代入谱单元在频率内的波动解,再通过快速傅立叶变换得到时域内三维层状黏弹性体系的瞬态响应分析的结果。以3层路面体系为例,用此算法对其进行了脉冲荷载下的动力响应分析,与有限元的计算结果进行对比,二者吻合良好,同时又对弹性和黏弹性多种路面模型进行了动力分析和对比。An algorithm that combines the viscoelastic stress-strain relationship with the three-dimensional spectral element is proposed to solve the problems of three-dimensional viscoelastic multi＇layer system subjected to an impulsive load. The four-parameter Burgers differential constitutive model is utilized in frequency domain for the formulation of viscoelastic spectral elements. Furthermore, the time domain response of three-dimensional layered system is obtained through fast Fourier transforms （FFT）. As to a numerical structure, a three-layer pavement system, both proposed method and finite element method are applied to analyze the dynamic response subjected to an impulsive load. And the two results have a good agreement. Besides, the analysis and comparison of various elastic and viscoelastic models are shown in the cases.

关 键 词：谱单元 黏弹性模型 冲击荷载 快速傅立叶变换 

分 类 号：O343[理学—固体力学]