多介质边坡弹性模量位移反分析模型与优化算法

利用开挖扰动实测位移，提出了求解边坡各介质弹性模量的反分析模型。同时针对目标函数的多极值性、收敛结果与初值相关等问题，提出了一种反分析优化算法。该方法一方面利用线弹性问题的尺度特性减少了一个优化变量；另一方面通过递归技术将多变量优化问题转换为一系列的单变量优化问题，并使收敛结果与初值无关。算例验证了方法的适用性。

Model for Back Analysis of Elastic Moduli from Measured Displacements in Cut Slopes and Its Optimization Method

A model for the back analysis of elastic moduli based on the measured displacements of excavation is suggested for cut slopes in this paper . And on the account of the existance of several minimums of the objective function and the dependence of convergence on initial values in conventional optimization methods, a new optimization method for inverse problems is formulated. The method first uses the scalar characteristics of elastic problems to reduce optimization variables by one, and then transforms the multivariate problems into a series of univariate problems by recursive technique, making convergence irrelevant to initial values. Numerical test for a three media cut slope has verified the applicability of the above mentioned model and method.