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本文探索最优化方法用于寻找边坡稳定分析中最小安全系数的可能性。在常规的边坡稳定分析中,需要多次试算许多滑裂面,比较相应的安全系数,其成果不仅粗糙,而且有可能不是事实上的最小值。采用最优化方法,可以用严格的数值分析方法找到最小安全系数及其相应的“临界滑裂面”。本文采用单形法,负梯度法和DFP法。通过对一系列算例的分析验证,可以发现,最优化方法和理论解以及穷举法的计算成果吻合。本文还列举了工程实例的分析结果以说明其在工程设计中的实用性。采用最优化方法,可以使设计工作大大简化,成果更为可靠。
This paper explores the possibility of optimizing the method to find the minimum safety factor in slope stability analysis. In the conventional slope stability analysis, many slip surfaces are required to be tried many times, and the corresponding safety factor is compared. The results are not only rough, but may not be the minimum in fact. Using the optimization method, a strict numerical analysis method can be used to find the minimum safety factor and its corresponding “critical sliding surface”. This article uses the simplex method, negative gradient method and DFP method. Through analysis and verification of a series of examples, it can be found that the optimization method is consistent with the theoretical solution and the exhaustive calculation method. This article also lists the analysis results of engineering examples to illustrate its practicality in engineering design. Using the optimization method can greatly simplify the design work and make the results more reliable.