P波入射含顺层结构面岩质边坡引起的振动

Vibration caused by P-wave incident on a rock slope with a bedding structural plane

假定岩体为开尔文非线性体、结构面法向满足Barton-Bandis模型、切向满足库仑滑移模型,基于时域递归法得到应力波在岩体和结构面中的传播方程。根据简化的边坡模型,结合应力波传播路径和时间延迟,对结构面与边坡坡面之间的多重反射波的传播情况进行分析,利用叠加原理得到边坡面上任意质点的法向和切向振动速度表达式。通过数值模拟对比验证理论分析的准确性,并对本研究理论和数值方法的适用范围进行简要说明。研究结果表明,结构面的刚度、监测点水平位置、坡角和坡脚竖向距离等均会对边坡振动放大效应产生一定的影响。从理论方面阐明岩体结构面对坡面质点振动放大效应的影响规律,为岩质边坡动力响应的深入研究提供理论依据。

It was assumed that the rock mass was Kelvin nonlinear,the deformation of the rock structure plane satisfied the Barton-Bandis model in the normal direction and satisfied the Coulomb slip model in the tangential direction.Based on the time-domain recursive method,the propagation equations of stress waves in viscoelastic rock and nonlinear structural plane were obtained theoretically.According to the simplified slope model,combined with the stress wave propagation path and time delay,the propagation of multiple reflected waves between the structural plane and the slope surface was analyzed,and the normal and tangential vibration velocity expressions of any particle on the slope surface were obtained by uding the superposition principle.The accuracy of theoretical analysis was verified by comparison of numerical simulation,and the application scope of the theoretical and numerical methods was briefly explained.The results showed that the stiffness of structural plane,horizontal position of monitoring point,the angle of slope and vertical distance of slope foot all had certain influence on the slope particle vibration.This study could provide a theoretical basis for the in-depth study of the dynamic response of rock slope.