自适应差分进化算法在边坡滑面搜索中的应用
发布时间：2018-11-06 08:16
【摘要】：边坡三维临界滑裂面的确定及其安全系数的求解是边坡稳定分析中的关键问题,而现有分析方法尚难以方便、可靠地获得三维滑裂面。在有限元数值应力场的基础上,计算边坡的安全系数。通过构造扩展椭球形滑裂面,利用自适应差分进化(SaDE)算法结合反向移动操作,实现了复杂边坡三维临界滑裂面的搜索。扩展椭球滑裂面构造方便,搜索灵活,比传统的球面或椭球面更能反映实际工程情况。整个求解过程为显式求解,不存在收敛性问题。算例考核结果表明,提出的方法具有良好的搜索效率与全局寻优能力,结果与刚体极限平衡法、有限元强度折减法吻合,计算结果合理可靠。通过实际工程边坡,进一步验证了该方法可方便、有效地应用于具有复杂岩性及环境条件的边坡三维稳定性分析。
[Abstract]:The determination of three dimensional critical slip surface and the solution of its safety factor are the key problems in slope stability analysis, but the existing analysis methods are still difficult to obtain the three dimensional slip surface reliably. The safety factor of slope is calculated on the basis of finite element numerical stress field. By constructing the extended ellipsoid sliding surface and using the adaptive differential evolution (SaDE) algorithm combined with the reverse movement operation, the 3D critical slip surface search of the complex slope is realized. The extended ellipsoid slide surface is easy to be constructed, and the search is flexible. It can reflect the actual engineering situation better than the traditional spherical surface or ellipsoid surface. The whole solution process is explicit and there is no convergence problem. The results of numerical examples show that the proposed method has good searching efficiency and global optimization ability, and the results are in agreement with the rigid body limit equilibrium method and the finite element strength reduction method, and the calculation results are reasonable and reliable. Through practical engineering slope, it is further proved that the method is convenient and can be effectively applied to the three-dimensional stability analysis of slope with complex lithology and environmental conditions.
【作者单位】： 武汉大学水资源与水电工程科学国家重点实验室;
【基金】：湖北省自然科学基金面上项目(No.2015CFB544)~~
【分类号】：TU43
本文编号：2313698
[Abstract]:The determination of three dimensional critical slip surface and the solution of its safety factor are the key problems in slope stability analysis, but the existing analysis methods are still difficult to obtain the three dimensional slip surface reliably. The safety factor of slope is calculated on the basis of finite element numerical stress field. By constructing the extended ellipsoid sliding surface and using the adaptive differential evolution (SaDE) algorithm combined with the reverse movement operation, the 3D critical slip surface search of the complex slope is realized. The extended ellipsoid slide surface is easy to be constructed, and the search is flexible. It can reflect the actual engineering situation better than the traditional spherical surface or ellipsoid surface. The whole solution process is explicit and there is no convergence problem. The results of numerical examples show that the proposed method has good searching efficiency and global optimization ability, and the results are in agreement with the rigid body limit equilibrium method and the finite element strength reduction method, and the calculation results are reasonable and reliable. Through practical engineering slope, it is further proved that the method is convenient and can be effectively applied to the three-dimensional stability analysis of slope with complex lithology and environmental conditions.
【作者单位】： 武汉大学水资源与水电工程科学国家重点实验室;
【基金】：湖北省自然科学基金面上项目(No.2015CFB544)~~
【分类号】：TU43
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