Soil-Structure Interaction on a Shallow Rigid Circular Foundation: SH Wave Source from Near-Field Excitations |
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Authors: | Hao Luo Vincent W. Lee |
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Affiliation: | 1. HNTB Corporation , Santa Ana , California , USA;2. Civil &3. Environmental Engineering , University of Southern California , Los Angeles , California , USA |
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Abstract: | A closed-form wave function analytic solution is presented in this article regarding the two-dimensional scattering and diffraction of a flexible wall sitting on a rigid shallow circular foundation embedded in an elastic half-space that is activated by a nearby anti-plane line source such as a blast caused by underground construction or mineral exploration or a near-field fault rupture, using similar methodology as the other paper in a series [Lee and Luo, 2013]. These wave propagation influences, although often treated as a transient process, may be simulated as linear combinations of steady-simple harmonic responses as studied in this article. Ground surface displacements spectra for wide-band of incident wave frequencies are calculated. Based on the spectra obtained, the dependence of near-field ground displacements are shown with respect to the rise-to-span ratio of foundation profile, frequency of incident waves, distance of source from the foundation, and mass ratios of various media (foundation-structure-soil). The screening effect of rigid foundation upon ground motions behind grazing incident waves is also presented. |
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Keywords: | SH Waves Line (Point) Source Cylindrical Wave Soil-Structure Interaction Closed-Form Analytic Solution Fourier-Bessel Series |
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