边坡圆弧滑裂面最小安全系数的简捷计算法  

A Simplified Computing Method for Minimum Safety Factor of Slope Arc Sliding Plane

作　　者：于兴华 滕凯 YU Xinghua;TENG Kai(Scouring and Filling Co.,Ltd.,Water Resources and Hydropower Group of Heilongjiang Province,Harbin 150001,China;Qigihar Municipal Water Affairs Bureau,Qigihar,Heilongjiang 161006,China)

机构地区：[1]黑龙江省水利水电集团冲填工程有限公司,哈尔滨150001 [2]齐齐哈尔市水务局,黑龙江省齐齐哈尔161006

出　　处：《西北水电》2018年第3期17-20,31,共5页Northwest Hydropower

基　　金：齐齐哈尔市科技攻关项目(SHFZGG201407)

摘　　要：针对目前求解边坡圆弧滑裂面最小安全系数方法存在的问题,建立了滑裂面安全系数的解析表达式,依据数学求极值的方法,获得了最小安全系数与边坡坡比及边坡土体特性参数之间的数值关系。依据该数值关系,采用最优拟合技术,以最大相对误差绝对值与标准剩余差之和最小为目标函数,经拟合分析,获得了可直接完成边坡圆弧滑裂面最小安全系数求解的简化计算公式。该公式表达形式简单、计算过程简捷、实际应用方便。精度分析及算例比较表明,在工程实际应用参数范围内,该简化公式求解结果的最大相对误差小于1.25%,完全满足实际工程的计算精度要求,具有应用推广价值。Aiming at issues on computing the minimum safety factor for the arc sliding plane,the computing formula for the factor is estab lished.And numerical relation between the ratio of the minimum safety factor to the slope gradient and the parameters of the slope soil properties is derived according to the method for extremum in mathematics.Based on the numerical relation and by application of the opti mum fitting technology,the simplified computing formula for direct computation of the minimum safety factor for the arc sliding plane is obtained through the fitting analysis and with the target function of the minimum sum between the maximum relative error absolute value and the root mean squared error.The formula is simple in representation,computation course as well s convenient for application.The precision analysis and computation comparison demonstrate that the maximum relative error of computation by the formula is lower than 1.25%.It fully satisfies requirement on engineering computation precision and is worth of developing for application.

关 键 词：边坡稳定分析 圆弧滑裂面 最小安全系数 简捷计算法 

分 类 号：TU457[建筑科学—岩土工程] O174[建筑科学—土工工程]