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成层地基位移反分析的数值计算
引用本文:齐欢,费奇,李迪. 成层地基位移反分析的数值计算[J]. 华中科技大学学报(自然科学版), 1997, 0(1)
作者姓名:齐欢  费奇  李迪
作者单位:华中理工大学数学系
基金项目:“八五”国家科技攻关项目
摘    要:承压板变形试验被用来测量地基表面和深孔的位移,进而利用反分析估计成层地基的弹性模量,评价大坝的安全性.研究了非均匀弹性问题中奇异积分的收敛性和算法.在分析反问题中误差函数的拟凸性质的基础上,利用非线性变换改善误差函数的拟凸性质,利用具有再启动策略的变尺度方法处理实测数据

关 键 词:大坝安全性;承压板变形试验;位移反分析;奇异积分收敛性;拟凸分析;变尺度

Numerical Calculation of a Displacement Inverse Analysis for the Straticulate Bedding
Qi Huan Assoc. Prof., Dept. of Math.,HUST,Wuhan ,China. Fei Qi Li Di. Numerical Calculation of a Displacement Inverse Analysis for the Straticulate Bedding[J]. JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE, 1997, 0(1)
Authors:Qi Huan Assoc. Prof.   Dept. of Math.  HUST  Wuhan   China. Fei Qi Li Di
Affiliation:Qi Huan Assoc. Prof., Dept. of Math.,HUST,Wuhan 430074,China. Fei Qi Li Di
Abstract:The safety of a dam is one of the most important problems in the irrigation works. Deformation tests on the bearing board are used to measure the displacement of the surface of bedding and the deep hole, and the modulus of elasticity of the straticulate bedding is estimated with the inverse analysis method so that the safety of the dam can be evaluated. The convergence and algorithm of the singular integral in the elasticity problem are studied. Some quasi convex properties of the error function are analyzed and nonlinear transform is used to improve the convex property of the error function. An improved variable metric method with restart strategy is used to handle the measured data.
Keywords:safety of dam  bearing board test  displacement inverse analysis  convergence of singular integral  quasi convex analysis  variable metric method
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