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提出了基于概率充分因子的高效土质边坡可靠度优化设计方法.首先,采用拉丁超立方抽样法抽取设计空间中的设计样本;其次,利用子集模拟确定设计样本的概率充分因子,建立概率充分因子与设计变量(如边坡倾角)的设计响应面;最后,通过优化设计确定既满足目标可靠度水平又满足经济性要求的设计方案.通过一个土质边坡算例说明了算法的有效性.结果表明,概率充分因子可以有效地表征设计是否满足可靠度要求、建立较为准确的设计响应面,设计响应面解耦了可靠度优化设计中双循环过程,有效地提高了可靠度优化设计效率.
A method based on probabilistic sufficient factor is proposed to optimize the reliability of soil slope.Firstly, Latin hypercube sampling method is used to extract the design samples from the design space. Secondly, the subsets simulation is used to determine the probabilistic factor of the design sample, Factor and design variables such as slope inclination.Finally, the design scheme that meets both the target reliability level and the economic requirement is determined through optimization design.An example of soil slope is used to show the effectiveness of the algorithm. The results show that Probability sufficient factors can effectively indicate whether the design meets the reliability requirements and establish a more accurate design response surface. The design response surface decouples the double loop process in the reliability optimization design, which effectively improves the reliability and the optimal design efficiency.