Abstract
A closed-form wave function analytic solution of two-dimensional scattering and diffraction of incident plane SH-waves by a flexible wall on a rigid shallow circular foundation embedded in an elastic half-space is presented. This research generalizes the previous solution by Trifunac in 1972, which tackled only the semi-circular foundation, to arbitrary shallow circular-arc foundation cases, and is thus comparatively more realistic. Ground surface displacement spectra at higher frequencies are also obtained. As an analytical series solution, the accuracy and error analysis of the numerical results are also discussed. It was observed from the results that the rise-to-span ratio of the foundation profile, frequency of incident waves, and mass ratios of different media (foundation-structure-soil) are the three primary factors that may affect the surface ground motion amplitudes near the structure.
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