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利用回归分析拟合Duncan-Chang双曲线E-γ模型的材料参数
引用本文:潘树来,王全凤.利用回归分析拟合Duncan-Chang双曲线E-γ模型的材料参数[J].数学的实践与认识,2010,40(13).
作者姓名:潘树来  王全凤
摘    要:介绍了回归分析的基本概念及求解回归系数的方法,并分析了利用回归分析Duncan-Chang双曲线E-γ土力学模型时所建立起的方程组的特点.而基于方程组的这些特点及材料参数的数值限制,提出了在求解之前需先设定其中一个材料参数R_f的值.最后,通过一个例子的分析,总结了回归分析计算结果的特点,并对R_f值之设定作出了说明及探讨.

关 键 词:回归分析  阻尼最小二乘法  Duncan-Chang双曲线E-γ模型  材料参数

Fitting the Material Parameters in Duncan-Chang E-γ Hyperbolic Model Using The Regression Analysis
PAN Shu-lai,WANG Quan-feng.Fitting the Material Parameters in Duncan-Chang E-γ Hyperbolic Model Using The Regression Analysis[J].Mathematics in Practice and Theory,2010,40(13).
Authors:PAN Shu-lai  WANG Quan-feng
Abstract:This article is aimed to introduce the basic concept of the regression analysis and the solution method of the fitted coefficients,and has analyzed the characteristics of group equations established during the regression analysis of the Duncan-Chang E-γhyperbolic curve soil mechanics model.Under the fundament of these characteristics of group equations and the limitation of the material parameter values,it is proposed and pre-assumed one of the material parameters value R_f before solving.At last,through an example analysis,the characteristics of the computed results from the regression analysis has been summarized, giving at the same time both the explanation and discussion to its hypothesis of R_f.
Keywords:regression analysis  Levenberg-Marquardt algorithm  Duncan-Chang E-γhyperbolic model  material parameters
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