相遇蚁群算法在边坡非圆弧临界滑动面搜索中的应用研究

发布时间：2018-05-29 08:15

本文选题：边坡 + 非圆弧临界滑动面　；参考：《岩土力学》2014年S1期

【摘要】：边坡非圆弧临界滑动面搜索是边坡稳定计算中的一个关键问题,其实质为安全系数最小的滑动路径搜索问题,采用效果良好的路径搜索算法——蚁群算法是目前研究的热点。为了克服传统蚁群算法效率低、效果差的缺点,基于蚂蚁正反向搜索相遇形成完整路径的原理,提出了一种相遇蚁群算法。将该算法用于边坡非圆弧滑动面搜索问题,提出了一种非圆弧临界滑动面搜索的新方法。通过2个边坡的算例计算及一个水库岸坡的工程应用,验证了新算法的有效性。计算结果表明,相遇蚁群算法无论是整个搜索范围还是从某一点起的搜索范围都要比一般蚁群算法大,所以相遇蚁群算法在搜索边坡临界滑动面时所得到解的多样性也要比一般蚁群算法好,因此,相遇蚁群算法的搜索范围能以较大的概率包含全局最优解,算法最终也能以较大概率搜索到全局最优解。最终,相遇蚁群算法可以在更大的范围内以更快的速度找到边坡的临界滑动面。
[Abstract]:Non-circular arc critical slip surface search is a key problem in slope stability calculation, which is essentially a sliding path search problem with minimal safety factor. Ant colony algorithm, which is a good path search algorithm, is a hot research topic at present. In order to overcome the shortcomings of low efficiency and poor effect of the traditional ant colony algorithm, an encounter ant colony algorithm is proposed based on the principle of the complete path formed by the ant forward and backward search encounter. This algorithm is applied to the problem of slope non-circular slip surface search, and a new method for searching non-circular arc critical sliding surface is proposed. The validity of the new algorithm is verified by two calculation examples of slope and the engineering application of a reservoir bank slope. The results show that the encounter ant colony algorithm has a larger search range than the common ant colony algorithm, whether it is the whole search range or the search range from a certain point. Therefore, the diversity of the solution obtained by the encounter ant colony algorithm in searching the critical sliding surface of the slope is better than that of the common ant colony algorithm. Therefore, the search range of the encounter ant colony algorithm can contain the global optimal solution with a high probability. The algorithm can also find the global optimal solution with a high probability. Finally, encounter ant colony algorithm can find the critical sliding surface of slope in a larger range.
【作者单位】：河海大学土木与交通学院;武汉建工(集团)有限公司;
【基金】：国家自然科学基金资助(No.41072233)
【分类号】：TU43

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