爆破振动作用下边坡极限平衡分析的等效加速度计算方法

 基于波动理论，研究边坡相同质点振动速度不同爆破振动频率下质点位移、振动加速度及边坡应力状态，结果表明相同质点振动速度下，边坡峰值振动位移与频率成反比、峰值振动加速度与频率成正比，而边坡体应力峰值基本相同，质点振动加速度与边坡体应力状态没有直接的相关性，振动频率越高，位移、加速度及应力峰值沿边坡深度变化越快；综合考虑振动频率、加速度及边坡体应力状态的相互关系，基于边坡体中相同峰值振动速度产生相同的峰值应力，得到由高频爆破振动波加速度向低频振动波加速度的转换方法，提出边坡极限平衡分析法的爆破振动等效加速度计算方法，为边坡施工期爆破动力稳定分析爆破荷载确定提供理论依据。

CALCULATION METHOD OF EQUIVALENT ACCELERATION FOR LIMIT EQUILIBRIUM ANALYSIS OF SLOPE UNDER BLASTING VIBRATION

Based on wave theory，the displacement，the blasting vibration acceleration，and the stress state of slope under the same blasting vibration velocity but different vibration frequencies were studied. The results indicated that with the same blasting vibration velocity，the peak vibration displacement was in inverse proportion to the vibration frequency，while the blasting vibration acceleration was proportional to the vibration frequency；however，the maximum stress of the slope was unchanged. There was no direct relation between acceleration and stress state of the slope，and the higher the vibration frequency was，the more quickly the displacement，the acceleration and the peak stress varied along the depth of the slope. According to comprehensive consideration of mutual relationship between vibration frequency，vibration acceleration and stress state of the slope，the method of converting the acceleration in higher frequency to acceleration in lower frequency of blasting vibration was obtained. Based on the fact that the same peak stress in the slope was created by the same peak particle vibration velocity，the equivalent acceleration calculated method for limit equilibrium analysis of slope under blasting vibration was proposed，which provided theoretical basis of analyzing the slope stability under blasting vibration during slope construction.