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Soil-structure interaction on shallow rigid circular foundation:plane SH waves from far-field earthquakes

Earthquake Engineering and Engineering Vibration 2014年第1期13卷 29-45页

作者： Vincent W.Lee Hao Luo Civil & Environmental Engineering Univ. of Southern California HNTB Corporation

A closed-form wave function analytic solution of two-dimensional scattering and diffraction of incident plane SH-waves by a fl exible 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 profi le, 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.

关键词： SH waves plane wave soil-structure interaction closed-form analytic solution fourier-bessel series

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Out-of-plane (SH) soil-structure interaction： a shear wall with rigid and flexible ring foundation

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Earthquake Science 2016年第1期29卷 45-55页

作者： Thang Le Vincent W. Lee Hao Luo Sonny Astani Civil & Environmental Engineering Department University of Southern California Los Angeles CA 90089 USA HNTB Corporation 200 E Sandpointe Ave #200 Santa AnaCA 92707 USA

Soil-structure interaction （SSI） of a building and shear wall above a foundation in an elastic half-space has long been an important research subject for earthquake engineers and strong-motion seismologists. Numerous papers have been published since the early 1970s; however, very few of these papers have analytic closed-form solu- tions available. The soil-structure interaction problem is one of the most classic problems connecting the two dis- ciplines of earthquake engineering and civil engineering. The interaction effect represents the mechanism of energy transfer and dissipation among the elements of the dynamic system, namely the soil subgrade, foundation, and super- structure. This interaction effect is important across many structure, foundation, and subgrade types but is most pro- nounced when a rigid superstructure is founded on a rela- tively soft lower foundation and subgrade. This effect may only be ignored when the subgrade is much harder than a flexible superstructure： for instance a flexible moment frame superstructure founded on a thin compacted soil layer on top of very stiff bedrock below. This paper will study the interaction effect of the subgrade and the super- structure. The analytical solution of the interaction of a shear wall, flexible-rigid foundation, and an elastic half- space is derived for incident SH waves with various angles of incidence. It found that the flexible ring （soft layer） cannot be used as an isolation mechanism to decouple asuperstructure from its substructure resting on a shaking half-space.

关键词： Out-of-plane SH waves Closed-formanalytic solution Rigid-flexible foundation fourier-bessel series Soil-structure interaction

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