弹性基底上覆黏弹性土体型边坡地震动力响应特征与稳定性研究

    Study on seismic dynamic response characteristics and stability of viscoelastic soil slopes overlying elastic bedrock

    • 摘要: 如何考虑坡体受到的地震荷载是边坡地震稳定性分析的重点。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)。结合螺旋滑动面和简布法,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,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(MPDM with elastic bedrock assumption)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的动力响应特征,使得边坡动力响应是模型几何特征、材料属性和地震动特性的函数;随简谐波频率的增加,由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,稳定性计算结果与MPDME基本一致。文中结论为快速和准确评价边坡地震稳定性提供了新方法和新途径。

       

      Abstract: How to consider the seismic forces within slopes is critical in seismic stability analysis. This paper reviews commonly used simplified methods for evaluating seismic inertial forces within slopes, including the pseudo-static method (PSM), pseudo-dynamic method (PDM), and modified pseudo-dynamic method (MPDM). By integrating the spiral sliding surface with the Janbu method, this study investigates the dynamic response characteristics of slopes under different calculation methods and evaluates the seismic stability of slope models with varying parameters. Finally, the seismic stability results obtained from the PSM incorporating dynamic response characteristics are compared with those from the MPDM. Results show that the MPDME (MPDM with elastic bedrock assumption) can avoid over-amplification of seismic inertial forces and distinguishes dynamic response characteristics at different locations of the slope, making the dynamic response a function of the model's geometry, material properties, and seismic motion parameters. The average amplification factors calculated by MPDME increase initially and then decrease with the increase in harmonic wave frequency, peaking at ωH0/vₛ = π/2. By incorporating the average amplification factor into the PSM, the calculated safety factors closely match those obtained from MPDME. The conclusions of this paper provide a new approach for rapidly and accurately evaluating the seismic stability of slopes, further promoting the modernization of slope seismic stability analysis.

       

    /

    返回文章
    返回