实际公路边坡工程绝大多数属于非均质边坡, 使得边坡内部应力场的间断, 无法使用经典的带梯度信息的优化算法进行滑动面搜索。在基于整体分析法的均质边坡滑动面搜索的理论基础上, 提出了一种边坡材料参数光滑化处理方法, 并成功将其扩展到非均质边坡。该方法将安全系数和潜在滑面上离散点的纵坐标均视为独立变量, 安全系数的大小作为目标函数, 约束条件是3个力矩平衡方程和其它一些必要性条件, 相对于传统的极限平衡结合智能优化算法, 该方法有着更高的收敛效率。2个典型非均质边坡算例结果表明该方法与其他极限平衡法搜得的滑动面较为一致, 说明了方法的可靠性。
Abstract
In actual highway slope engineering, most slopes are non-homogeneous, resulting in discontinuous internal stress field of the slope so that the classic gradient-based optimization algorithms cannot be used to search the slip surface. On the basis of slip surface searching for homogeneous slopes which is based on the global procedure for slope stability analysis, we propose a smoothing processing method for non-homogeneous slopes. By using this method, both the factor of safety and the vertical coordinates of discrete points on potential slip surface are taken as independent variables, and the factor of safety is regarded as the objective function, with three moment equilibrium equations and convexity on the critical slip surface as constraints. This method has a higher convergence efficiency compared with traditional methods based on limit equilibrium in association with intelligent optimization algorithms. Two typical non-homogeneous slope examples show that this method is reliable. The slip surface searched by this method is consistent with that by other finite element equilibrium methods.
关键词
非均质边坡 /
整体分析法 /
光滑化处理 /
临界滑动面搜索
Key words
non-homogeneous slope /
global procedure for slope stability analysis /
smoothing processing /
critical slip surface search
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参考文献
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