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极限平衡法在边坡稳定性分析中处于主导地位,该算法通常建立在一定的假设之上,没有考虑边坡土体的非线性应力-应变关系,不能用于未达到极限状态以及加固后边坡的稳定性分析。为了解决以上问题,将有限元计算与多种群遗传算法(MPGA)相结合,建立一种基于MPGA的复杂应力状态边坡稳定性分析通用模型,通过数值应力场求解安全系数,并为多种群遗传算法构建适应度函数;再利用多种群遗传算法为安全系数的计算提供滑移面。为了保证分析的高效、合理,根据滑移面发展趋势,动态产生初始滑移面,并增加一个滑移面约束条件。最后,通过均质边坡和软弱夹层边坡两个典型算例分析验证了该方法的合理性;通过分析土钉加固的软弱夹层边坡,证明了该方法可用于加固等复杂应力状态边坡的稳定性分析。
The limit equilibrium method is dominant in slope stability analysis. The algorithm is usually based on certain assumptions and does not consider the nonlinear stress-strain relationship of slope soils. It can not be used in the failure to reach the limit state and the reinforced slope Stability Analysis. In order to solve the above problems, the finite element method and multi-population genetic algorithm (MPGA) are combined to establish a general model of slope stability analysis based on MPGA in complex stress state. The safety factor is solved by numerical stress field, The algorithm constructs the fitness function; then uses the multi-population genetic algorithm to provide the sliding surface for the calculation of the safety factor. In order to ensure the analysis is efficient and reasonable, according to the development trend of slip surface, the initial slip surface is dynamically generated and a slip surface constraint condition is added. Finally, the feasibility of this method is verified by two typical examples of homogeneous slopes and soft intercalated slopes. By analyzing the weak intercalated soil slopes reinforced by soil nailing, this method is proved to be suitable for the reinforcement of slopes with complex stress conditions Stability Analysis.