中文摘要：

为了能够准确进行随机地震作用下框架锚杆锚固边坡的稳定性评价,开展其稳定性评价方法及可靠性抗震设计理论研究,将坡后土体考虑为弹性体,建立了坡后土体动力计算模型,将地震激励视为随机变量,采用虚拟激励法求得边坡随机地震反应,获得了边坡地震加速度反应功率谱,给出了最危险滑移面确定的极限状态方程和稳定性可靠度计算方法。将提出的计算方法应用于工程实例,运用可靠度理论分析了地震加速度的分布特征对支护边坡稳定性的影响和最小稳定系数的变化规律,进行了随机地震动力反应分析及稳定性可靠度计算,并采用Monte Carlo法验证了提出方法的有效性。结果表明：提出的分析模型物理概念明确,是一种快速、精确、实用的分析方法;提出的方法为框架预应力锚杆支护边坡的稳定性可靠度计算提供了理论依据和一种新的计算途径。

英文摘要：

In order to accurately evaluate the stability of slope reinforced by frame with pre-stress anchors under random earthquake,it was very necessary and urgent to carry out the stability evaluation method and the reliability seismic design theory.Considered the soil behind the slope as an elastomer,the dynamic calculation model of soil behind the slope was established.Regarded the earthquake acceleration as a random variable,the pseudo-excitation method was adopted to get the random seismic response of slope,and the slope seismic acceleration response spectrum was obtained.What＇s more,the limit state equation based on the most dangerous sliding surface and the computing method of reliability of slope stability were given.The proposed computing method was applied to an engineering example and the influence of seismic acceleration distribution characteristics on the slope stability and the change law of minimum stabilitycoefficient was analyzed in terms of the reliability theory.The random seismic dynamic response analysis and the reliability calculation of slope stability were carried out.The effectiveness of the proposed method was verified by Monte Carlo method.The results show that the proposed analysis model with clear physical concept is a rapid,accurate and practical analysis method.The proposed method provides theoretical basis and a new computing approach for reliability calculation on slope stability reinforced by frame with pre-stress anchors.