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Vertical vibration of a rigid strip footing on viscoelastic half‐space
Author(s) -
Zheng Changjie,
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.3108
Subject(s) - viscoelasticity , vibration , half space , integral transform , fourier transform , boundary value problem , mathematical analysis , structural engineering , mathematics , engineering , acoustics , materials science , physics , composite material
Summary This paper presents an analytical method for modeling the dynamic response of a rigid strip footing subjected to vertical‐only loads. The footing is assumed to rest on the surface of a viscoelastic half‐space; therefore, effects of hysteretic soil damping on the impedance of the foundation and the generated ground vibrations are considered in the solution. To solve the mixed boundary value problem, we use the Fourier transform to cast a pair of dual integral equations providing contact stresses, which are solved by means of Jacobi orthogonal polynomials. The resulting soil and footing displacements and stresses are obtained by means of the Fourier inverse transform. The solution provides more realistic estimates of footing impedance, compared to existing solutions for elastic soil, as well as of the attenuation of ground vibrations with distance of the footing. The latter is important for the estimation of machine vibration effects on nearby structures and installations.