SH波作用下岩质边坡响应规律的解析探讨

ANALYTICAL ANALYSIS ON ROCK SLOPE DYNAMIC RESPONSES UNDER ACTION OF SH WAVE

基于弹性力学理论,推导了弹性波动方程,并给出了位移势函数的表达式。根据应力波传播理论建立了边坡中应力波传播模型,以SH波为例详细说明了边坡中不同部位的应力波叠加情况。将边坡的坡面和坡顶自由面解耦为2个相互独立的自由面,分别分析了2个自由面附近应力波场的叠加,并据此研究了边坡中波函数幅值变化情况,得到了边坡水平向动力放大规律和垂直向动力放大规律,以及这些规律产生周期性变化所满足的条件。

This paper develops a model about stress waves propagation in rock slope body according to the theory of stress waves propagation.Based on the theories of elasticity,it derives the elastic-dynamics equations and potential functions.Taking SH wave propagation as an example,the stress waves superposition at different parts of the slope is discussed.The sloping surface and slope crest are departed into two independent free surfaces.They do not affect each other in the process of reflecting stress waves.The stress waves superposition beside the two free surfaces are analyzed respectively.The amplitude of the superposed wave is discussed.It reveals the rules of both vertical and horizontal dynamic response amplifications of the slope.The rule for the vertical dynamic response amplification is that getting closer to slope surface,the particles＇ oscillation amplitude increase.The rule for the horizontal dynamic response amplification is that near slope crest,the particles＇ oscillation response increases,and reaches to the largest at slope crest.The condition for the two rules being cyclic variation is that the slope height is larger than 1/4 wavelength of SH wave.