边坡稳定极限平衡分析中的优化问题

THE OPTIMIZATION PROBLEMS APPLICABLE TO SLOPE STABILITY ANALYSIS USING LIMIT EQUILIBRIUM METHOD

为更好地理解、归纳边坡极限平衡稳定分析的步骤和过程,将目前边坡稳定分析中常规的极限平衡条分法、基于潘家铮极大值原理的局部安全系数法以及边坡临界滑动场方法等三大类方法进行系统比较分析和归类,并对每类双重优化问题予以表述、算例分析验证等,对极限平衡方法在边坡稳定分析中的应用予以总结。研究结果表明,归纳的三类双重优化问题有助于极限平衡方法在边坡稳定分析中的进一步应用。

In order to systematically comprehend and summarize the theories and procedures involved in the slope stability analysis based on limit equilibrium method,the traditional limit equilibrium methods of slices,the local factor of safety method based on Pan’s maximum principle,and critical slip field method were adopted in the slope stability analysis problems.Summaries on several procedures and strategies included in the slope stability analysis using limit equilibrium method were conducted,which were classified into three dual optimization problems.The details regarding each dual problem were described and were demonstrated.This work may be beneficial to the further development of limit equilibrium method.