Semi-analytical method for steady-state response of unsaturated elastic half-space foundations
Received:April 13, 2021  Revised:June 21, 2021
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DOI:10.7511/jslx20210413001
KeyWord:unsaturated soil  half-space foundation  simple harmonic load  steady-state response  semi-analytical weighted residual method
     
AuthorInstitution
曹彩芹 西安建筑科技大学 理学院, 西安
鲍楠 西安建筑科技大学 理学院, 西安
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Abstract:
      Using a semi-analytical method,this paper studies steady-state responses of an unsaturated elastic half-space foundation under a harmonic load.Based on the dynamic control equation of unsaturated soil and the boundary conditions of the unsaturated elastic half-space,the semi-analytical function of the foundation element is established.By the weighted residual method, this paper gets the unsaturated semi-analytical equation of the steady-state responses on the elastic half space.The semi-analytical equations are solved to obtain the horizontal and vertical displacement amplitudes of the unsaturated elastic foundation under the vertical harmonic load.The effects of saturation and foundation depth on pore pressure and displacement were calculated numerically.The research results show that the application of this method to study the steady-state response of unsaturated elastic half-space foundations is practical and effective.