基于Matlab的土坡稳定分析的解析计算

Analytical Calculation of Soil Slope Stability Based on Matlab

采用精确积分代替有限条块的求和,得到土质边坡稳定分析的瑞典法和毕肖普简化法的积分表达式,有效地避免了条分法中由于土条数目与宽度的选择所带来的误差.在程序编制过程中,除了考虑土质的非均匀性外,还考虑到实际工程中坡顶及土层面往往呈非水平状态,采用折线型坡面和土层面来模拟实际边坡,利用Matlab语言的内置函数,极大地简化了程序的编制,扩展了积分法在边坡稳定分析中的应用.并利用横向和垂向相结合的二维搜索算法搜索临界圆弧滑动面.通过算例表明,此方法的计算结果是正确合理的,可用于土质边坡稳定分析.

Substituting a fine integral for the sum of finite slices to derive the analytical formula for the safety factor of the soil slope in the methods of Fellenius and simplified Bishop. In this case, the error caused by the different choices of the number and width of soil slice in the finite slice method can be avoided effectively. In the process of programming, besides the heterogeneity of soil should be considered, the factor of the nonho- mogeneity for the top of slope and each layer of soil is also important; so we adopt broken-line to model. Greatly simplified the design of program and extended the application of the integral method in slope stability analysis by using the built-in function of Matlab. And the two-dimensional search which searches for the most dangerous sliding circle by combining the horizontal and vertical searching methods is proposed. In addition, the results obtained from this method show good agreement.