基于正交理论的某边坡稳定性影响因素敏感性分析

Sensibility analysis of the factors affecting slope stability based on orthogonal theory

传统的计算边坡稳定性影响因素敏感性的分析方法只考虑一个因素的变化,而忽略了因素间的相互作用,由此引入正交试验设计理论。结合天津某边坡,按正交表要求,随机选取各因素在可变化区间内的几个水平等级值,计算各因素在各水平等级值下边坡的稳定系数。通过对所得的结果进行极差分析和变化率计算,表明边坡稳定性影响因素敏感性由大到小分别为:内聚力、地震力、坡高、坡比、内摩擦角、重度和坡顶荷载,验证了正交理论的有效性。

In conventional sensibility analysis of factors influencing the stability of slope, only one factor’s changing is considered, but the interaction of factors are neglected. Based on this, orthogonal theory is introduced in this paper. Take a slope in Tianjin for example, according to the orthogonal array, some value of grade on level of every factors in changeable block are chosen, and on the basis of which the factor of safety are calculated individually. The result of calculating of difference analysis and vary rate show that sensitivity factors of the slope stability are cohesion, seismic power, the slope height, the slope ratio, internal friction angle, unit weight and load on the top of the slope. At the same time, the effect of the orthogonal theory is proved.