基于物质点法的随机地震作用下边坡滑动距离概率

为了研究地震作用对路堤边坡滑动距离的影响，通过应用物质点法、谱表达法及随机函数思想，开展随机地面运动下路堤边坡滑动距离的概率分析。首先，通过模拟Chiu-fen-erh-shan滑坡验证了本文改进的物质点法程序的有效性；然后，基于广义Clough-Penzien功率谱模型和随机函数思想生成了445条随机地震加速度样本；最后，研究了随机地震作用下峰值地面加速度对路堤边坡滑动距离的影响规律。结果表明：随着峰值地面加速度的增加，滑动距离变化范围不断扩大，地震动的随机性越来越明显；滑动距离逐渐增大，边坡安全程度降低。

Study on the probability of sliding distance of slopes under the action of random earthquakes based on the material point method

To investigate the effect of seismic action on the sliding distance of embankment slopes, probability analysis of the sliding distance under random ground motions was carried out using the material point method, the spectral expression method and the idea of random functions. First, the effectiveness of the improved procedure of the material point method was verified by simulating the Chiu-fen-erh-shan landslide. Then, 445 random seismic acceleration samples were generated based on the generalized Clough-Penzien power spectrum model and the random function idea. Finally, the influence law of peak ground acceleration on the sliding distance of embankment slopes under the action of random earthquakes was investigated. The results show that with the increase of peak ground acceleration, the range of sliding distance variation widens and the randomness of the earthquake becomes more and more prominent. Moreover, the sliding distance gradually increases and the degree of slope safety decreases.