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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。
In order to accurately evaluate the stability of anchorage slope of frame anchor under random earthquake, the method of stability evaluation and the theoretical study of reliability seismic design are carried out. The soil behind the slope is considered as the elastic body, and the dynamic force behind the slope is established The seismic excitation is regarded as a random variable. The stochastic seismic response of the slope is calculated by using the virtual excitation method. The power spectrum of the acceleration response of the slope is obtained. The ultimate state equation of the most dangerous slip surface is obtained and the stability is reliable Degree calculation method. The proposed calculation method is applied to the engineering example. The influence of the distribution of seismic acceleration on the stability of supporting slope and the variation rule of the minimum stability coefficient are analyzed with the reliability theory. The random earthquake dynamic response analysis and stability reliability The Monte Carlo method is used to verify the effectiveness of the proposed method. The results show that the proposed analytical model has a clear physical concept and is a fast, accurate and practical analytical method. The proposed method provides a theoretical basis and a new theoretical basis for the reliability analysis of the slope supported by prestressed anchors Calculated way.