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STATIONARY RANDOM WAVES PROPAGATION IN 3D VISCOELASTIC STRATIFIED SOLID
作者姓名:高强  林家浩
作者单位:State Key Laboratory of Structural Analysis for Industrial Equipment Dalian University of Technology,State Key Laboratory of Structural Analysis for Industrial Equipment Dalian University of Technology Dalian 116023,P.R.China,Dalian 116023,P.R.China
基金项目:Project supported by the National Natural Science Foundation of China (No. 10472023) the Special Fund for PhD Program of Education Ministry of China (No. 20040141020)
摘    要:Propagation of stationary random waves in viscoelastic stratified transverse isotropic materials is investigated. The solid was considered multi-layered and located above the bedrock, which was assumed to be much stiffer than the soil, and the power spectrum density of the stationary random excitation was given at the bedrock. The governing differential equations are derived in frequency and wave-number domains and only a set of ordinary differential equations ( ODEs) must be solved. The precise integration algorithm of two-point boundary value problem was applied to solve the ODEs. Thereafter, the recently developed pseudo-excitation method for structural random vibration is extended to the solution of the stratified solid responses.

关 键 词:分层固体材料  精确积分  伪激发法  波动传播  三维弹性力学
收稿时间:8 January 2004

Stationary random waves propagation in 3D viscoelastic stratified solid
Gao Qiang,Lin Jia-hao.STATIONARY RANDOM WAVES PROPAGATION IN 3D VISCOELASTIC STRATIFIED SOLID[J].Applied Mathematics and Mechanics(English Edition),2005,26(6):785-796.
Authors:Gao Qiang  Lin Jia-hao
Institution:State Key Laboratory of Structural Analysis forIndustrial Equipment,Dalian University of Technology,, Dalian 116023, P. R. China
Abstract:Propagation of stationary random waves in viscoelastic stratified transverse isotropic materials is investigated. The solid was considered multi-layered and located above the bedrock, which was assumed to be much stiffer than the soil, and the power spectrum density of the stationary random excitation was given at the bedrock. The governing differential equations are derived in frequency and wave-number domains and only a set of ordinary differential equations ( ODEs) must be solved. The precise integration algorithm of two-point boundary value problem was applied to solve the ODEs. Thereafter, the recently developed pseudo-excitation method for structural random vibration is extended to the solution of the stratified solid responses.
Keywords:layered material  precise integration  pseudo-excitation method  wave propagation  random vibration
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