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Horizontal vibration of a rigid strip footing on viscoelastic half‐space
Author(s) -
Zheng Changjie,
Cai Yuanjie,
Luan Lubao,
Kouretzis George,
Ding Xuanming
Publication year - 2020
Publication title -
international journal for numerical and analytical methods in geomechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.419
H-Index - 91
eISSN - 1096-9853
pISSN - 0363-9061
DOI - 10.1002/nag.3156
Subject(s) - integral transform , viscoelasticity , vibration , half space , mathematical analysis , mathematics , boundary value problem , fredholm integral equation , inverse , fourier transform , integral equation , geometry , physics , quantum mechanics , thermodynamics
Abstract This paper presented an analytical method for determining the response of a rigid strip foundation resting on the surface of a viscoelastic half‐space to horizontal dynamic loads, and the associated transient soil displacements resulting from the vibration of the footing. This mixed boundary value problem was solved by means of Jacobi orthogonal polynomials, a more efficient method compared to transforming the dual integral equations resulting from the boundary conditions to Fredholm integral equations. Displacements and stresses of the soil‐footing system were accordingly obtained by applying the inverse Fourier transform. Finally, we used the proposed solution to investigate the effects of material damping and Poisson's ratio of soil on the dynamic response of the strip footing, and the resulting soil displacements.