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针对非均质地基土上条形基础弹性沉降计算的复杂性,建立了无量纲化有限元模型,处理了边界距离和弹性模量变异性问题。在确定性分析基础上,分别运用一阶Taylor展开式随机有限元(简称SFEM)和Monte-Carlo数值模拟随机有限元(简称RFEM)分析了土体弹性模量变异性对基础沉降的影响。结果表明,SFEM低估了基础沉降特征值受弹性模量变异性的影响程度。弹性模量变异系数越大,SFEM对基础沉降均值和标准差低估程度越显著,基础沉降均值随弹性模量空间相关距离逐渐减小。RFEM分析结果则呈现波动性但整体有不断增大趋势,因而基础沉降计算结果更为合理。
Aimed at the complexity of elastic settlement calculation of strip foundation on heterogeneous foundation soil, a non-dimensional finite element model is established to deal with the problem of boundary distance and elastic modulus variation. On the basis of certainty analysis, the influence of soil elastic modulus variability on foundation settlement was analyzed by first order Taylor Expanded Stochastic Finite Element (SFEM) and Monte-Carlo Numerical Simulation Stochastic Finite Element (RFEM) respectively. The results show that SFEM underestimated the extent to which subsidence eigenvalues are affected by the elastic modulus variability. The greater the coefficient of variation of elastic modulus, the more significant the SFEM underestimates the mean and standard deviation of foundation settlement, and the average value of basic settlement decreases with the spatial correlation distance of elastic modulus. The result of RFEM analysis shows the volatility but the overall trend is increasing. Therefore, the calculation result of foundation settlement is more reasonable.