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Vertical and rocking impedances for rigid rectangular foundations on soils with bounded non‐homogeneity
Author(s) -
Vrettos Christos
Publication year - 1999
Publication title -
earthquake engineering and structural dynamics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.218
H-Index - 127
eISSN - 1096-9845
pISSN - 0098-8847
DOI - 10.1002/(sici)1096-9845(199912)28:12<1525::aid-eqe879>3.0.co;2-s
Subject(s) - homogeneity (statistics) , half space , compressibility , bounded function , mathematical analysis , boundary value problem , mathematics , geometry , homogeneous , stiffness , poisson's ratio , poisson distribution , geotechnical engineering , geology , structural engineering , mechanics , physics , engineering , statistics , combinatorics
The vertical and rocking response of rigid rectangular foundations resting on a linear‐elastic, compressible, non‐homogeneous half‐space soil model is studied. The non‐homogeneity is described by a continuous yet bounded increase of shear modulus with depth. The mixed boundary value problem is solved by means of the semi‐analytical method of the subdivision of the foundation/soil contact area whereby the influence functions for the sub‐regions are determined by integration of the corresponding surface‐to‐surface Green's functions for the particular soil model. Impedance functions are given for representative values of the non‐homogeneity parameters, the Poisson's ratio and the foundation geometry over a wide range of frequencies. Significant features associated with the soil non‐homogeneity are pointed out. Copyright © 1999 John Wiley & Sons Ltd.