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The Effect of Boundary Permeability on the Dynamic Response of the Layered Saturated Ground Subjected to an Underground Moving Load
In this paper, the effect of boundary permeability on the dynamic response of a layered poroelastic half-space under moving loads in a tunnel is studied analytically. The tunnel is modeled by an Euler–Bernoulli beam located between two horizontal layers. The Biot’s dynamic equations for the poroelastic soil medium are solved by utilizing the Helmholtz decomposition and Fourier transformation. Combining the boundary conditions and the continuity conditions between each layer, the explicit analytical solutions for the dynamic response of each layer in the transformed domain are obtained by the transmission and reflection matrices (TRM) method. The solutions in time–space domain are expressed in terms of infinite Fourier-type integrals, which are evaluated by an adaptive version of extended integral trapezoidal formula. The validity and accuracy of the proposed methodology and numerical integration scheme are confirmed by comparison with some existing results. Two different boundary permeabilities are considered, and the numerical results show that the influence of the boundary permeability on the dynamic response is related to the permeability of the soil and the moving load speed.
The Effect of Boundary Permeability on the Dynamic Response of the Layered Saturated Ground Subjected to an Underground Moving Load
In this paper, the effect of boundary permeability on the dynamic response of a layered poroelastic half-space under moving loads in a tunnel is studied analytically. The tunnel is modeled by an Euler–Bernoulli beam located between two horizontal layers. The Biot’s dynamic equations for the poroelastic soil medium are solved by utilizing the Helmholtz decomposition and Fourier transformation. Combining the boundary conditions and the continuity conditions between each layer, the explicit analytical solutions for the dynamic response of each layer in the transformed domain are obtained by the transmission and reflection matrices (TRM) method. The solutions in time–space domain are expressed in terms of infinite Fourier-type integrals, which are evaluated by an adaptive version of extended integral trapezoidal formula. The validity and accuracy of the proposed methodology and numerical integration scheme are confirmed by comparison with some existing results. Two different boundary permeabilities are considered, and the numerical results show that the influence of the boundary permeability on the dynamic response is related to the permeability of the soil and the moving load speed.
The Effect of Boundary Permeability on the Dynamic Response of the Layered Saturated Ground Subjected to an Underground Moving Load
Lecture Notes in Civil Engineering
Tutumluer, Erol (editor) / Nazarian, Soheil (editor) / Al-Qadi, Imad (editor) / Qamhia, Issam I.A. (editor) / Li, Yijun (author) / Hu, Anfeng (author) / Xie, Kanghe (author) / Zhang, Rong-tang (author)
2021-09-17
11 pages
Article/Chapter (Book)
Electronic Resource
English
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