1987
DOI: 10.1002/eqe.4290150205
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Impedance functions for foundations embedded in a layered medium: An integral equation approach

Abstract: SUMMARYAn integral equation technique to calculate the dynamic response of foundations embedded in a layered viscoelastic halfspace when subjected to external forces and moments is presented. The technique is based on representing the radiated field as resulting from a set of sources distributed over a surface internal to the actual boundary of the foundation and by imposing the boundary conditions in an integral sense. The resulting non-singular integral equation with symmetric kernel is solved by discretizat… Show more

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Cited by 169 publications
(56 citation statements)
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“… Transverse isotropy, anisotropy  Numerical methods, e.g. Karabalis & Beskos (1984), Apsel & Luco (1987), Alarcón & Cano (1989)  Large scale experimentation on SSI effects Still, in the next decade or two, a subset of the best contributions by contemporary researchers in SSI will eventually be duly recognized for their lasting value, at which time they too will be the subject of historical surveys yet to be written. In all likelihood, however, such future reviews will have to focus much more narrowly on specific sub-disciplines, given the significant breadth that the subject of SSI has now attained.…”
Section: Contemporary Eramentioning
confidence: 99%
“… Transverse isotropy, anisotropy  Numerical methods, e.g. Karabalis & Beskos (1984), Apsel & Luco (1987), Alarcón & Cano (1989)  Large scale experimentation on SSI effects Still, in the next decade or two, a subset of the best contributions by contemporary researchers in SSI will eventually be duly recognized for their lasting value, at which time they too will be the subject of historical surveys yet to be written. In all likelihood, however, such future reviews will have to focus much more narrowly on specific sub-disciplines, given the significant breadth that the subject of SSI has now attained.…”
Section: Contemporary Eramentioning
confidence: 99%
“…The effects of the foundation medium on the structural response are commonly simulated by a series of frequency-dependent springs and dashpots representing a theoretical half-space or a simplifying hypothesis of homogeneous horizontal layers surrounding the base of the structure. The noteworthy research papers that deal with the discrete values of impedance functions over wide ranges of frequency-factors have been presented for both surface-supported and embedded foundations resting on soil strata (Luco and Westmann, 1971;Kausel and Roesset, 1974;Gazetas, 1983;Wong and Luco, 1985;Apsel and Luco, 1987;Ç elebi and Gündüz, 2005;Mylonakis et al, 2006).…”
Section: E ç Elebi Et Al: Non-linear Finite Element Analysis For Prmentioning
confidence: 99%
“…Forced-vibration tests of foundations were employed by Luco and Wong [64,65] to identify lowstrain stiffness and damping properties of underlying soil strata. The identifications were based on a minimization of differences between theoretical impedance functions [4] and those directly computed using forced-vibration results. Figure 5 exhibits the shear wave velocities of an Imperial Valley (California) site as identified using such a foundation test data, along with velocities estimated using the SASW technique.…”
Section: Spectral Analysis Of Forced-vibration Testsmentioning
confidence: 99%