GAO Qiang, LIN Jia-hao. Stationary Random Waves Propagation in 3D Viscoelastic Stratified Solid[J]. Applied Mathematics and Mechanics, 2005, 26(6): 723-733.
Citation: GAO Qiang, LIN Jia-hao. Stationary Random Waves Propagation in 3D Viscoelastic Stratified Solid[J]. Applied Mathematics and Mechanics, 2005, 26(6): 723-733.

Stationary Random Waves Propagation in 3D Viscoelastic Stratified Solid

  • Received Date: 2004-01-08
  • Rev Recd Date: 2004-12-06
  • Publish Date: 2005-06-15
  • 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.
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