基于支持向量机的边坡可靠性分析  

Reliability analysis of slope based on support vector machine

作　　者：赵洪波[1] 

机构地区：[1]河南理工大学土木工程学院,河南焦作454001

出　　处：《岩土工程学报》2007年第6期819-823,共5页Chinese Journal of Geotechnical Engineering

基　　金：河南理工大学博士基金资助(648197)

摘　　要：将支持向量机与一阶二次矩方法结合,提出了边坡可靠性分析的支持向量机方法。利用极限平衡分析构造学习样本,通过支持向量机学习,建立安全系数与随机变量之间映射关系的支持向量机表达,进而实现边坡极限状态函数及其偏导数的显式表达,从而计算边坡的可靠性指标。该方法避免了传统可靠性分析的缺点。利用一个算例进行了分析,结果表明:该方法计算效率高,结果可靠,对含有大量随机变量的复杂岩土工程可靠性分析具有很大的潜力,具有广泛的应用前景和工程价值。A new method of slope reliability analysis was presented which combined the support vector machine （SVM） and first order second moment （FORM）. The learning samples were built by limited equilibrium method （LEM）, then the relationship between the factor safety of slope and the random variables was established. The performance function and its derivatives in slope stability analysis were approximated by the support vector machine. The statistical moments calculated from the values of performance function and the corresponding gradients using support vector machine were then used in the first order second moment method for the calculation of the reliability index in slope safety analysis. An example was presented for illustrating the applicability of the proposed approach. The new method was effective in slope reliability analysis. And there was potential application to other reliability problems of complicated engineering structure with a considerably large number of random variables.

关 键 词：边坡工程 可靠性分析 一阶二次矩 支持向量机 

分 类 号：TU311.2[建筑科学—结构工程]