Abstract
This paper presents a three-dimensional oblique incidence method based on stress time-history functions of seismic body waves. This method realizes the three-dimensional oblique incidence of a single body wave phase or superposed multiple phases, which considers the earthquake action in the analysis of the slope seismic response. To implement this method, first, the spatial relationship between slope and incident seismic wave rays is described, and the direction of incident seismic waves is defined with two parameters: the azimuth angle $$\alpha$$, which reflects the azimuth of epicenter; and the incident angle $$\theta$$, which is a concentrated expression of the hypocentral depth and epicentral distance. Second, at the bottom boundary of the slope numerical model, the vibration starting time of each node excited by an oblique incident seismic wave is calculated. By considering vibration time sequence, the successive disturbance of rock and soil medium at the bottom of the slope is achieved. Then the stress time-history functions of six body wave phases are derived. Numerical simulation results of the x demonstrate the effectiveness, applicability and necessity of the proposed method.
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