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地下结构荷载的广义反演方法
引用本文:张中生,陈子荫,朱维申.地下结构荷载的广义反演方法[J].土木工程学报,2001,34(2):38-42.
作者姓名:张中生  陈子荫  朱维申
作者单位:中国科学院武汉岩土力学研究所
摘    要:利用位移反分析方法进行地下结构荷载反演是行之有效的.本文针对地下结构荷载反算存在解的不唯一性和不稳定性,提出地下结构荷载的广义反演方法.借助奇异值分解和广义逆建立地下结构荷载反算的广义最小二乘解估计、广义最小范数解估计和广义最小方差解估计.

关 键 词:地下结构荷载  位移反分析  奇异值分解  解估计  广义反演
文章编号:1000-131X(2001)02-0038-05
修稿时间:1999年7月1日

GENERALIZED INVERSE METHOD FOR UNDERGROUND STRUCTURE LOAD
Zhand Zhongsheng,Chen Ziyin,ZHU Weishen.GENERALIZED INVERSE METHOD FOR UNDERGROUND STRUCTURE LOAD[J].China Civil Engineering Journal,2001,34(2):38-42.
Authors:Zhand Zhongsheng  Chen Ziyin  ZHU Weishen
Affiliation:Zhand Zhongsheng 1 Chen Ziyin 2 Zhu Weishen 1
Abstract:The inverse method for the measured displacement is effective in practice to make certain the underground structure load.A generalized inverse method is proposed in the paper.It is provided for the lack of non?uniqueness and instability in the solution of inverse method.We establish some methods to estimate the load by means of singular value decomposition(SVD)and generalized inverse.These are the generalized least square, generalized least norm,and generalized least variance.The generalized inverse method for underground structure load can deal with the non-uniqueness.
Keywords:underground structure load  inverse analysis of measured displacement  singular valuedecomposition estimation of solution  generalized inverse method
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