Two-dimensional translation, rocking, and waves in a building during soil-structure interaction excited by a plane earthquake SV-wave pulse

Abstract

Nonlinear waves in the soil Partition of incident SV-wave earthquake energy into translation, rocking and wave motion a b s t r a c t A two-dimensional (2-D) model of a building supported by a rectangular, flexible foundation embedded in the soil is analyzed for excitation by an incident plane SV-wave. The incidence is below the critical angle. The building is assumed to be anisotropic and linear while the soil and the foundation are assumed to be isotropic and can experience nonlinear deformations. In general the work spent for the development of nonlinear strains in the soil can consume a significant part of the input wave energy and thus less energy is available for the excitation of the building. We show that the energy distribution in the building depends on the nature of the incident wave and differs substantially between the cases of incident P-and SV-waves. However, for both excitation by a plane SV-wave pulse and excitation by a P-wave, we show that the nonlinear response in the soil and the foundation does not significantly change the nature of excitation of the base of the building. It is noted that the building response can be approximated by translation and rocking of the base only for excitation by long, strong motion waves.

Earthquake soil‐structure interaction of nuclear power plants, differences in response to 3‐D, 3 × 1‐D, and 1‐D excitations

“…1 Still, recent guidelines like the (2012) National Earthquake Hazards Reduction Program (NEHRP) SSI for Building Structures recommendations 2 implicitly assume a vertically incident plane-wave input motion for virtually all modeling recommendations and example applications. 7,[10][11][12][13][14] Furthermore, it has also been claimed that under certain circumstances, wave passage can amplify structural response with respect to the vertically incident case 15 for long structures. On the other hand, it introduces a modeling idealization, the implications of which are still poorly understood and an topic of active research.…”

“…8,9 Additionally, wave-passage effects due to a nonvertically incident plane wave field have been linked to amplified rocking as well as torsional response of structures. 7,[10][11][12][13][14] Furthermore, it has also been claimed that under certain circumstances, wave passage can amplify structural response with respect to the vertically incident case 15 for long structures. These extremes, response reduction in one case and amplification in another, hint that the problem of seismic SSI is probably best studied case by case: a specific structure on a specific site experiencing an earthquake from a specific source.…”