爆破振动在边坡岩土介质中诱发的动应力与振动特征分析

孙金山1,2,李正川3,刘贵应3,陈明2,孙金山3,姜清辉2

振动与冲击 ›› 2018, Vol. 37 ›› Issue (10) : 141-148.

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振动与冲击 ›› 2018, Vol. 37 ›› Issue (10) : 141-148.
论文

爆破振动在边坡岩土介质中诱发的动应力与振动特征分析

  • 孙金山1,2,李正川3,刘贵应3,陈明2,孙金山3,姜清辉2
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Dynamic stress and vibration characteristics of geomaterials in slopes induced by blasting vibration

  • SUN Jin shan1,2, LI Zheng Chuan3, LIU Gui Ying3, Chen Ming2, SUN Jin shan3 JIANG Qing Hui2
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摘要

开挖爆破诱发的地震波对边坡岩土体有显著影响。基于简化力学模型和应力波理论,分析了露天爆破条件下,瑞利波在爆源远区边坡岩土介质中诱发的动应力和质点振动特征。分析表明,平行于坡面的切向动应力σxx随深度增大而快速减小。垂直坡面方向的法向动应力σzz和动剪应力σzx在坡面上为0,且随深度增大而先快速增大后缓慢减小。岩土体内平行于坡面的切向振动速度vx和垂直坡面的法向振动速度vz在坡面处最大,且随深度的增大而迅速降低。推导了σzz和σzx最大值所处深度zcr的解析解,zcr值随岩土介质质量的降低和振动频率的增大而减小。振动速度与振动频率相同的瑞利波在不同岩土介质中传播时,岩土越软弱其内部最大动应力越小。振动速度相同时,同一岩土介质中最大动应力是相等的,但其所处深度随振动频率的增大而减小。针对边坡动力稳定性拟静力分析中动荷载的确定问题,提出了通过边坡坡面质点振动速度峰值计算潜在滑动面动应力的解析计算方法。

Abstract

Seismic wave induced by blasting influences geomaterials of slopes significantly. The dynamic stress and vibration characteristic of geomaterials in slopes far away from the blasting location were analyzed based on a simplified mechanical model and stress wave theory. The dynamic tangential stress σxx (parallel to the slope surface) decreases rapidly with the increase of the depth. The dynamic normal stress σzz and the dynamic shear stress σzx (vertical to the slope surface) are zero on the surface, and they increase rapidly firstly and then decreases slowly with the increase of the depth. When the depth z=0, the tangential vibration velocity vx and the normal vibration velocity vz are at their peak, which decrease rapidly with the increase of the depth. The analytical solution of the depth zcr is deduced at which the peak value of σzz and σzx is located. The weaker the geomaterial and the higher the frequency of the vibration, the less the zcr value become. When the vibration velocity and vibration frequency are the same in different geomaterials, the maximum dynamic stress in the weaker geomaterials is smaller than in stronger geomaterials. When the vibration velocity is the same, the maximum dynamic stress is the same in the same geomaterials, its depth is related to the vibration frequency, and the higher the frequency, the smaller the depth. In order to determine the dynamic load in quasistatic analysis of slope dynamic stability, an analytical method for calculating the dynamic stress on the potential sliding surface of the slope is proposed through the monitored vibration velocity.

关键词

边坡 / 爆破 / 瑞利波 / 动应力 / 振动速度 / 极限平衡

Key words

slope / blasting / Rayleigh wave / dynamic stress / vibration velocity / limit equilibrium

引用本文

导出引用
孙金山1,2,李正川3,刘贵应3,陈明2,孙金山3,姜清辉2. 爆破振动在边坡岩土介质中诱发的动应力与振动特征分析[J]. 振动与冲击, 2018, 37(10): 141-148
SUN Jin shan1,2, LI Zheng Chuan3, LIU Gui Ying3, Chen Ming2, SUN Jin shan3 JIANG Qing Hui2. Dynamic stress and vibration characteristics of geomaterials in slopes induced by blasting vibration[J]. Journal of Vibration and Shock, 2018, 37(10): 141-148

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