论文部分内容阅读
极限分析上限方法在边坡稳定性评价中受到了广泛关注,但当前所取得的解析成果尚不能直接应用于解决任意多土层分布、多台阶的广义复杂层状边坡。基于组合对数螺线的旋转破坏机制,推导了具有任意坡面几何特征、任意多土层(含非水平土/岩层)边坡的外功率统一积分表达式及相应的虚功率方程,提出了多阶多层复杂边坡稳定性的通用极限分析上限方法;为克服积分式的复杂解析计算,引入了数值积分技术。在此基础上,结合最优化方法和强度折减技术,优化求解了复杂边坡的全局稳定性安全系数及相应的临界滑动面。通过多个典型算例的验证与对比分析,表明该方法具有较高的精度和广泛适用性。最后,针对典型多阶多层边坡实例,开展了上限法的深度拓展与应用研究,其结果为广义复杂层状边坡的稳定性评价提供了新思路。
The upper bound limit analysis method has received extensive attention in the slope stability assessment. However, the analytical results obtained so far have not been directly applied to solve the generalized complex stratified slope with many soil layers and multiple steps. Based on the rotational failure mechanism of combinatorial logarithmic spirals, the unified integral expression of external power and the virtual power equation of any slope with arbitrary slope geometry and arbitrary multi-soil layers (including non-horizontal soil / rock strata) are derived. General Limit Analysis Upper Limit Method for Stability of Multi-level and Multi-level Complicated Slope. In order to overcome the complicated analytic calculation of integral type, numerical integration technique is introduced. On this basis, combined with the optimization method and the strength reduction technique, the global stability safety factor and the corresponding critical slip surface of complex slope are solved. Through the verification and comparative analysis of several typical examples, it shows that this method has high accuracy and wide applicability. Finally, according to the typical multi-level multi-story slope example, the study on the depth expansion and application of the upper bound method is carried out. The results provide a new idea for the stability evaluation of the generalized complex layered slope.