基于射线理论的边坡地震反应分析

RAY THEORY FOR THE SEISMIC RESPONSE ANALYSIS OF SLOPE

从射线理论出发,研究了在地震P波作用下坡体临空面附近地震能量的分异和重分布现象,推导了坡体内动应力和动位移计算公式,并将这一理论应用于边坡地震响应分析。最后以单斜无限长边坡为例。

The seismic response analysis of a slope is an important subject in geology engineering and earthquake engineering. In spite of many methods for it, such as quasi static method, displacement method by Newmark and other numeric methods, they either ignore the effect of the free surface of a slope or need much hours to compute. The ray method, which generates from geometrical optics and is used widely in seismology now, can overcome these shortages effectively. Based on the ray theory, the propagation regulation of the incident planar primary wave in a slope and its redistribution near the free surface of a slope are discussed, and its dynamic energy variation in the course of its propagation is studied in detail. On the basis of this, analytical formulas for calculating the dynamic stress and dynamic displacement in a slope are also derived in theory. This method is generalized to be applied to the seismic response analysis of a slope. Finally, taking an infinite homogenous slope as an example, the distribution law of its dynamic stress and dynamic displacement is summarized in this paper.