岩体力学参数的非线性随机反演优化方法的研究

 运用最优化理论，通过构造公差准则函数序列，在近似可行概念［1］和非线性加速单纯形法的基础上，采用三维非线性位移随机反分析的伸缩保养法研究了岩体力学参数。岩体的性态采用弹塑性?开裂模型描述，考虑工程中实测位移的随机波动性，应用随机反分析的目标函数。非线性迭代采用收敛稳定的子增量变Kp法。并与复合形法进行了比较，工程实例表明伸缩保养法较复合形法在调用有限元次数及耗用机时方面要少一些，且反演结果相差很少，说明该方法是有效和可行的。

Optimization Method for Rock Mass Displacement Nonlinear Stochastic Back Analysis

In view of the optimal theory and the concept of approximate feasibility and a series of common difference criterion functions, and based on the nonlinear accelerant simplex method, a nonlinear displacement stochastic back analysis model of rock mass named flexible tolerance method is developed. The method is wide in adaptability, quick in convergence and high in efficiency. Considering the stochastic properties of measured deformations and material parameters the object function of nonlinear displacement stochastic back analysis is applied. Elastoplastic-cracking model is employed in rock mass, and nonlinear iteration uses increment changeable Kp method. The back analyzed result from an engineering example indicates that both the frequency of transfering FEM program and the time-expending of operating Computer obtained by the flexible tolorance method are less than those got with the complex method, and the difference of the two calculated results is very small. It enough verifies the effectiveness and feasibility of the method.