A new approach to the determination of the critical slip surfaces of slopes

A new method for the determination of the critical slip surfaces of slopes is proposed in this paper.In this paper,the original critical slip field method is extended in terms of the total residual moment,values of residual work as well as the unbalanced thrust force at the exit point for a given non-circular slip surface.The most critical slip surface with the maximum representative value for a prescribed factor of safety will be optimized and located using the harmony search algorithm.The prescribed factor of safety is modified with certain tiny interval in order to find the critical slip surface where the maximum representative value is zero.The aforementioned approach to the location of the critical slip surface is greatly different from the traditional limit equilibrium procedure.Three typical soil slopes are evaluated by use of the proposed method,and the comparisons with the classical approaches have illustrated the applicability of the proposed method.     

地震边坡稳定性分析的拟静力方法适用性探讨

应用极限平衡拟静力方法进行地震边坡稳定性分析时,对粘聚力较小、内摩擦角较大的浅层滑坡而言,随着地震水平设计加速度值的增大,其临界滑动面基本保持不变;然而,对粘聚力较大而摩擦角较小的深层滑坡而言,随着地震水平设计加速度值的增大,临界滑动面越深、越宽,会呈现出发散现象,选取两个典型的均质土坡,设计了由浅及深的多条滑动面,分别采用极限平衡瑞典方法进行了相应安全系数的计算,同时比较了自重、地震力、粘聚力在抗滑力矩以及滑动力矩中所占比重的变动情况。研究发现:对于浅层滑坡,随着滑动面由浅及深的变化,粘聚力产生的抗滑力矩所占百分比下降幅度较大,自重产生的滑动力矩与总体抗滑力矩的比值下降幅度较大;而对于深层滑坡,随着滑动面由浅及深变化,自重产生的抗滑力矩所占百分比增长的幅度较大,地震力产生的滑动力矩与总体抗滑力矩比值增长幅度也较大。     

土坡稳定极限分析上限法中的多解性分析

土坡稳定极限分析上限法中采用了完全塑性区假定,即假定土坡内存在一个处处位于屈服面上的滑动体。将滑动体内部条块界面上的强度发挥系数视为优化变量,利用功能平衡方程得到了对于给定滑动面的多个安全系数,基于和声算法和潘家铮极值原理选择其中最大的安全系数作为该滑动面的抗滑稳定安全系数,利用该方法对于两个典型土坡算例进行了分析,将其结果与常规极限分析上限法结果进行了比较,给出了完全塑性区假定对计算结果的影响。     

An improved particle swarm optimization algorithm with harmony strategy for the location of critical slip surface of slopes

The determination of optimal values for three parameters required in the original particle swarm optimization algorithm is very difficult.It is proposed that two new parameters simulating the harmony search strategy can be adopted instead of the three parameters which are required in the original particle swarm optimization algorithm to update the positions of all the particles.The improved particle swarm optimization is used in the location of the critical slip surface of soil slope,and it is found that the improved particle swarm optimization algorithm is insensitive to the two parameters while the original particle swarm optimization algorithm can be sensitive to its three parameters.     

利用潘家铮极值原理与和声搜索算法进行土坡稳定分析

基于潘家铮极大极小值原理,结合和声搜索算法提出了一种土坡稳定分析的新方法。对给定的滑动面,利用和声搜索算法寻找出能使该滑动面具有最大抗滑稳定安全系数的内力分布,其间可以考虑土条发生局部破坏后的内力调整过程。同样利用和声搜索算法搜索出土坡最危险的滑动面。将该法应用于简单土坡、复杂土坡的稳定分析中,与传统方法计算结果的比较证明了新方法的合理和适用性。     

基于修复策略的改进和声搜索算法求解土坡非圆临界滑动面

针对土坡非圆临界滑动面的确定问题,提出了一种两点直线搜索策略替换随机搜索策略,以最大限度地利用和声库的积累信息搜索新解。以一种修复策略替换惩罚策略来修复搜索过程中可能出现的不合理滑动面,更有效地搜索最危险的滑动面,而构成了一种新的和声搜索算法,给出了利用新的和声搜索算法求解两个土坡最小安全系数及其临界滑动面,与已有的结果比较,证明了提出的两种策略是有效合理的。     

基于能量定义的边坡临界滑动场方法

边坡临界滑动场法是最近发展起来的边坡稳定性计算方法,通过定义外力功与内能耗散之差为剩余功。基于能量定义的边坡临界滑动场模拟的主要思路为：给定一个安全系数,寻找最大剩余功对应的滑动面,变换安全系数直到所得最大剩余功为零,其对应的滑动面即为临界滑动面,相应的安全系数即为最小安全系数。通过两个典型土坡算例分析证明了该方法的有效性,与传统的临界滑动场相比,该新方法不再需要条间力假定,计算简单。     

Comparative Study on Response Surfaces for Reliability Analysis of Spatially Variable Soil Slope

This paper focuses on the performance of the second-order polynomial-based response surfaces on the reliability of spatially variable soil slope. A single response surface constructed to approximate the slope system failure performance function G(X) (called single RS) and multiple response surfaces constructed on finite number of slip surfaces (called multiple RS) are developed, respectively. Single RS and multiple RS are applied to evaluate the system failure probability pf for a cohesive soil slope together with Monte Carlo simulation (MCS). It is found that pf calculated by single RS deviates significantly from that obtained by searching a large number of potential slip surfaces, and this deviation becomes insignificant with the decrease of the number of random variables or the increase of the scale of fluctuation. In other words, single RS cannot approximate G(X) with reasonable accuracy. The value of pf from multiple response surfaces fits well with that obtained by searching a large number of potential slip surfaces. That is, multiple RS can estimate G(X) with reasonable accuracy.