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Soil-structure interaction on shallow rigid circular foundation: plane SH waves from far-fi eld earthquakes
作者姓名:Vincent  W.  Lee  and  Hao  Luo
摘    要: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

Soil-structure interaction on shallow rigid circular foundation: plane SH waves from far-field earthquakes
Vincent W. Lee and Hao Luo.Soil-structure interaction on shallow rigid circular foundation: plane SH waves from far-fi eld earthquakes[J].Earthquake Engineering and Engineering Vibration,2014,13(1):29-45.
Authors:Vincent W Lee  Hao Luo
Institution:1. Civil & Environmental Engineering, Univ. of Southern California, Los Angeles, CA, 90089, USA
2. HNTB Corporation, Santa Ana, CA, 92707, USA
3. Design Engineer, HNTB Corporation, Santa Ana, CA, 92707, USA
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.
Keywords:SH waves  plane wave  soil-structure interaction  closed-form analytic solution  Fourier-Bessel series
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