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Boundary element approach to the dynamic stiffness functions of circular foundations
Author(s) -
Alarcon E.,
Cano J. J.,
Dominguez J.
Publication year - 1989
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.1610130606
Subject(s) - half space , rotational symmetry , mathematics , stiffness , boundary element method , computation , numerical integration , geometry , boundary (topology) , mathematical analysis , transformation (genetics) , finite element method , boundary value problem , space (punctuation) , point (geometry) , dynamic problem , structural engineering , engineering , computer science , mathematical optimization , algorithm , biochemistry , chemistry , gene , operating system
A boundary element approach for time harmonic axisymmetric problems using the complete space point load fundamental solution is presented. The fundamental solution is integrated numerically along the azimuthal co‐ordinate of each axisymmetric element. To increase the accuracy of the numerical integration a simple co‐ordinate transformation is proposed. The approach is applied to the computation of the dynamic stiffness functions of rigid circular foundations on layered viscoelastic soils. Three different sites are considered: a uniform half‐space, a soil layer on a half‐space, and a soil consisting of four horizontal layers and a compliant half‐space. The numerical results obtained by the proposed approach for surface circular foundations are very close to corresponding published results obtained by different procedures.