岩土工程参数反分析的可辨识性研究  

Research on Identifiability of the Parameter in the Back Analysis of Geotechnical Engineering Problems

作　　者：吴祥松[1] 朱合华[1] 叶飞[1] 

机构地区：[1]同济大学土木工程学院地下建筑与工程系,上海200092

出　　处：《地下空间与工程学报》2006年第3期377-379,401,共4页Chinese Journal of Underground Space and Engineering

基　　金：西部交通建设科技项目<连拱隧道关键技术的研究>;上海市重点学科(岩土工程)项目

摘　　要：针对岩土工程问题参数反分析过程中,采用逆反分析法以及最小二乘法、遗传算法等作为优化方法反演参数,对未知参数的可辨识性进行了理论证明:当量测信息量小于未知参数量时,无法唯一确定未知量;当量测信息量等于未知量时,当且仅当未知参数的系数矩阵[K]∈Rrm×r,m,r为正整数时,参数可唯一确定;而当量测信息量大于未知量时,未知参数的唯一可辨识性条件也是未知参数的系数矩阵[K]∈Rrm×r,m,r为正整数。In the back analysis of stress field parameter in the geoteehnical engineering, the identifiability of the parameter is verified, which is made up of the measured information matrix, the unknown quantity matrix and modulus matrix, while using the invertible back analysis and some optimization methods ; such as least square method and genetic algorithms. If the number of measured information is equal to the unknown quantity, the parameter is proved to be the only one under the condition that the matrix of [ K]^T [ K] is nonsingular matrix and the matrix [ K] ∈Rr^m×n, m, n are positive integers. If the total number of measured information is greater than the unknown quantity, the identifiability of the parameter is still proved to be only one, the matrix [K]∈ Rr^m×r m,n are positive integers.

关 键 词：岩土工程 反分析 参数可辨识性 非奇异矩阵 最小二乘法 

分 类 号：TU74[建筑科学—建筑技术科学]