强夯振动作用下黄土边坡放大效应机理分析

吴丙权1, 2, 倪万魁1, 师百垒1, 任思远1

振动与冲击 ›› 2025, Vol. 44 ›› Issue (12) : 308-316.

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PDF(1736 KB)
振动与冲击 ›› 2025, Vol. 44 ›› Issue (12) : 308-316.
土木工程

强夯振动作用下黄土边坡放大效应机理分析

  • 吴丙权1,2,倪万魁*1,师百垒1,任思远1
作者信息 +

Mechanism analysis of amplification effect of loess slope under dynamic compaction vibration

  • WU Bingquan1,2,NI Wankui*1,SHI Bailei1,REN Siyuan1
Author information +
文章历史 +

摘要

强夯振动影响着边坡的安全稳定,现有的研究常采用室内模型试验和数值计算的方法来判定强夯振动波对边坡的影响,运用波动力学理论的解析方法较少。为揭示强夯振动作用下黄土边坡放大效应产生的原理,本文依据波动力学射线传播理论,分析了正负高程差边坡体内强夯振动波的传播规律,推导得出边坡体内部质点位移放大系数解析解。运用层次分析法,根据权重系数计算结果依次排序得出夯击能、坡高和坡度等可能影响边坡稳定性的因素。结合现场情况,选取不同方案分别对边坡体内不同质点的位移放大系数变化规律进行分析。结果表明:在低频波作用下边坡坡顶附近质点易产生较大的放大系数,边坡顶部放大效应较为明显。随着振动波入射频率增大,坡顶附近区域的质点放大系数相对减小,但同时出现较多放大系数集中区域,且这些区域放大系数数值较大,表明在这些区域坡体易发生部分坍塌。坡度陡缓形态对边坡质点放大效应影响较大,边坡倾角越陡,放大效应越明显,说明坡体越陡边坡越容易产生坍塌破坏。该解析解计算方法较为简单实用,可为工程实践提供指导。

Abstract

Dynamic compaction vibration affects the safety and stability of slopes. Existing studies often use indoor model tests and numerical calculations to determine the impact of dynamic compaction vibration waves on slopes, and few analytical methods use wave mechanics theory. In order to reveal the principle of the amplification effect of loess slopes under dynamic compaction vibration, based on the ray propagation theory of wave mechanics, this paper analyzes the propagation law of dynamic compaction vibration waves in slopes with positive and negative elevations, and deduces the analytical solution of the displacement amplification factor of particles inside the slope. Using the analytic hierarchy process, factors that may affect slope stability such as tamping energy, slope height and slope are sorted according to the calculation results of the weight coefficient. Based on the field conditions, different plans were selected to analyze the change laws of the displacement amplification factors of different particles in the slope body. The results show that under the action of low-frequency waves, the particle near the top of the slope tends to produce a large amplification factor, and the amplification effect at the top of the slope is more obvious. As the incident frequency of vibration waves increases, the particle amplification factor in the area near the top of the slope decreases relatively, but at the same time, there are many areas where amplification factors are concentrated, and the amplification factor values in these areas are large, indicating that partial collapse of the slope is prone to occur in these areas. The steep and gentle slope shape has a great influence on the amplification effect of slope particles. The steeper the slope inclination, the more obvious the amplification effect, which means that the steeper the slope, the more likely the slope is to collapse. This analytical solution calculation method is simple and practical, and can provide guidance for engineering practice.

关键词

强夯 / 放大系数 / 传播规律 / 解析解 /

Key words

Dynamic compaction;Magnification factor / Propagation law / Analytical solution

引用本文

导出引用
吴丙权1, 2, 倪万魁1, 师百垒1, 任思远1. 强夯振动作用下黄土边坡放大效应机理分析[J]. 振动与冲击, 2025, 44(12): 308-316
WU Bingquan1, 2, NI Wankui1, SHI Bailei1, REN Siyuan1. Mechanism analysis of amplification effect of loess slope under dynamic compaction vibration[J]. Journal of Vibration and Shock, 2025, 44(12): 308-316

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