Abstract Slopes should be regarded as stochastic dynamic systems when investigating the uncertainty of ground motions. In engineering, this involves the propagation and spatial evolution of physical quantities (e.g., acceleration) that can be assessed with some probability. More specifically, stochastic stability and amplification effects are important issues under random seismic inputs. In studying the above, a large-scale shaking-table test is carried out to investigate the slope seismic response under random earthquake ground motions, where 144 ground-motion samples are generated using a time-evolution power spectrum model. In this test, acceleration evolves in a way that its PDF changes with time and space. In the time domain, the PDF variability first increases and then decreases with the progression of the earthquake. In the spatial domain, the PDF variability increases upslope, indicating that the mean and standard deviation of amplification factors increase with elevation. Moreover, the stability of the upper part of the slope stochastic dynamic system is poor. Meanwhile, the de-amplification effect of the slope toe is identified under random seismic inputs. Finally, we discuss different amplification factors and consider applications of the research results in slope engineering.

中文翻译：

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基于大型振动台试验的边坡随机地震响应

摘要 研究地震动的不确定性时，应将边坡视为随机动力系统。在工程中，这涉及物理量（例如加速度）的传播和空间演化，这些物理量可以以某种概率进行评估。更具体地说，随机稳定性和放大效应是随机地震输入下的重要问题。在研究上述过程中，进行了大型振动台试验，研究了随机地震地震动下的边坡地震响应，其中使用时间演化功率谱模型生成了144个地震动样本。在此测试中，加速度的演变方式是其 PDF 随时间和空间而变化。在时域中，PDF变异性随着地震的进展先增大后减小。在空间域中，PDF 变异性增加上坡，表明放大因子的均值和标准差随海拔升高而增加。而且，边坡随机动力系统上部稳定性较差。同时，在随机地震输入下识别了坡脚的去放大效应。最后，我们讨论了不同的放大因素，并考虑了研究成果在边坡工程中的应用。