地震作用下边坡动力响应机制与稳定性研究

    Study on the dynamic response mechanism and stability of slopes during earthquakes

    • 摘要: 如何考坡体受到的地震荷载是边坡地震稳定性分析中的重点,研究地震作用下边坡动力响应机制有助于合理评价其稳定性。首先,文中讨论了目前常用的边坡地震力简化方法,包括拟静力法(PSM)、拟动力法(PDM)和修正拟动力法(MPDM)。其次,结合螺旋滑动面和边坡稳定性分析中常用的简布法,探讨了不同计算方法下边坡的动力响应特征,计算了不同参数边坡模型的地震稳定性,共计19, 683种工况。最后,对比了考虑动力响应特征的拟静力法与修正拟动力法的地震稳定性计算结果。研究表明:MPDME通过弹性基底假设,避免了过分放大土体中的地震惯性力,可以区分模型不同部位处的动力响应特征,所得到的动力响应是模型几何尺寸、材料属性和地震动特性的函数;随着简谐波频率的增加,由MPDMS和MPDME计算的平均放大系数呈现先增加后减小的规律,并在ωH0/vs = π/2附近取得最大值;通过将平均放大系数引入拟静力法中,拟静力法地震稳定性系数计算结果与MPDME基本一致。文中成果有利于快速和准确评价边坡地震稳定性,推动我国边坡地震稳定性分析的现代化。

       

      Abstract: How to consider the seismic forces within slopes is critical in seismic stability analysis. Studying the dynamic response mechanism of slopes during earthquakes helps evaluate their stability. Firstly, this paper discussed commonly used simplified methods for assessing seismic inertial forces within slopes, including the pseudo-static method (PSM), pseudo-dynamic method (PDM), and modified pseudo-dynamic method (MPDM). Secondly, by integrating the spiral sliding surface with the commonly used Janbu method in slope stability analysis, this study investigated the dynamic response characteristics of slopes under different calculation methods and evaluated the seismic stability of slope models with varying parameters, covering a total of 19, 683 scenarios. Finally, the seismic stability results obtained from the pseudo-static method incorporating dynamic response characteristics are compared with those from the modified pseudo-dynamic method. Results show: The MPDME, using an elastic bedrock assumption, prevents over-amplification of seismic inertial forces and distinguishes dynamic response characteristics at different locations of the slope. The resulting dynamic response is a function of the model’s geometry, material properties, and seismic motion parameters. The average amplification factors calculated by MPDMS and MPDME increase initially and then decrease with the increase in harmonic wave frequency, peaking at ωH₀ / vₛ = π/2. If the average amplification factor is incorporated into the PSM, the calculated safety factors closely match those obtained from MPDME. The results in his study can facilitate rapid and accurate evaluation of slope seismic stability and promote the modernization of seismic stability analysis of slipe in China.

       

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