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通过反向采用极向条分的极限分析上限法获取临界强度参数对,拟合得到预应力锚索边坡对应的抗震全局极限响应面方程,将其作为内核函数使用Monte Carlo模拟得到特定地震烈度下的预应力锚索加固边坡的失稳概率和可靠度指标,避免直接使用极限分析上限法而造成的抽样和寻优算法的冗余嵌套。将该方法应用于预应力锚索加固边坡算例中,并将抗震全局极限响应面与基于“均值最不利滑动面”的极限响应面进行了对比,结果表明全局极限滑动面所得失稳概率较大,特定滑面的极限响应面法偏于不安全。进一步分析了锚索参数对边坡抗震失稳概率的影响以及失稳概率与可靠度的关系曲线,表明该方法很好地兼顾了变异参数空间的全局性以及计算的高效性,可以为基于可靠度的预应力锚索边坡抗震设计提供理论参考。
By using the limit analysis upper bound method of reverse striping to obtain the critical strength parameter pairs, the global seismic response surface equation corresponding to the prestressed anchor cable slope is fitted and used as the kernel function to obtain the specific seismic intensity Under the prestressed anchor reinforcement slope instability probability and reliability index, to avoid direct use of upper bound method of limit caused by the sampling and optimization of redundant nesting algorithm. The method is applied to the case study of prestressed anchor reinforcement slope and the comparison between the global seismic response limit and the ultimate response surface based on the “most unfavorable sliding surface ” shows that the global ultimate sliding surface gain and loss The greater the probability of stability, the specific slip surface of the response surface method of partial unsafe. The influence of the parameters of the anchor cable on the seismic failure probability of the slope and the relationship between the failure probability and the reliability of the slope are further analyzed. The results show that the proposed method takes into account both the global variability of the parameter space and the computational efficiency, Degree of prestressed anchor slope design provides a theoretical reference.