Performance Study on Slope Slip Surface Generation by Spline Function
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摘要: 土坡稳定分析中,二维滑动面通常由一系列点顺序连接产生,并且将点的坐标当作优化变量来搜索临界滑动面,当点的个数较多时会导致优化变量较多;只需给定少量的控制节点,即可利用三次样条函数得到光滑的曲线作为任意滑动面,该法对于含软弱夹层土坡,无需事先指定直线段。利用不平衡推力法计算给定滑动面的安全系数,采取和声搜索算法确定最小安全系数相应的临界滑动面。对3个土坡算例进行了比较分析,比较了常规策略与样条函数方法在模拟土坡滑动面时的效率。Abstract: The two-dimensional slip surfaces are usually generated by connecting a series of nodal points, of which the coordinates are optimized to locate the critical slip surface. The more the number of nodal points is, the more the number of optimization variables. Based on several nodal points, the Spline function can be used to generate smooth curve as the slip surface. And it is also applicable to the soil slope containing soft layers without pre-definition of lines between two adjacent nodal points. The factor of safety related to the given slip surface is obtained by unbalanced thrust force method and the harmony search algorithm is adopted to determine the critical slip surface for three soils slopes. The performance study on the generation of Spline Function is performed.
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Key words:
- slope stability /
- generation of slip surface /
- Spline Function /
- harmony search algorithm
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