土坡位移场应力场对泊松比及形状变化的灵敏性

Sensitivity analysis of displacement field and stress field of soil slope to Poisson's ratio and shape variation

介绍了边坡工程中位移、应力场对岩土体参数及坡体形状灵敏度分析的原理。研究分析了边坡位移场与应力场对泊松比、坡比以及第一阶模态的灵敏度,并得出各灵敏度最值所处位置。对比了泊松比与坡比对水平位移场的影响大小,表明在边坡坡面附近水平位移场受坡比影响较大,在坡后方水平位移场受泊松比影响较大。给出了坡比为1∶1.02时水平位移绝对最大值的预测与计算值,两者相差较小,表明利用灵敏度进行预测及设计优化是可行的。

The principles of sensitivity analysis of displacement field and stress field in slope engineering to geotechnical parameter as well as slope shape are described. We studied the sensitivity of slope displacement field and stress field to the Poisson＇s ratio,slope ratio and the first order modal and also the location of the maximum and minimum sensitivity were obtained. The influential degree of the Poisson＇s ratio and slope gradient on the horizontal displacement is compared. It indicates that the slope gradient has larger influence on the horizontal displacement at slope surface,and the Poisson＇s ratio has greater influence on the horizontal displacement at the back slope area. The maximum horizontal displacement values obtained by prediction and calculation are compared respectively under the slope ratio of 1∶ 1. 02,and the difference is small,proving the feasibility of prediction and design optimization by sensitivity analysis.