基于回归分析法的改进Duncan-Chang模型研究  

Use Regression Analysis to Study the Improved Duncan-Chang Model

作　　者：郑春婷[1] 蔡燕燕[1] 戚志博[1] 俞缙[1] 

机构地区：[1]华侨大学岩土工程研究所,厦门361021

出　　处：《武汉理工大学学报》2012年第4期108-112,共5页Journal of Wuhan University of Technology

基　　金：国家自然科学基金(51109084);福建省自然科学基金(2011J01317);华侨大学高层次引进人才启动金项目(11BS105)

摘　　要：改进了Duncan-Chang模型的切线模量,并证明改进模型能克服传统模型应力应变曲线的数学缺陷。在获得多组三轴试验参数的基础上,利用Matlab中的lsqcurvefit函数对Duncan-Chang切线模量和改进切线模量进行回归分析。结果表明:改进切线模量的残差平方和比Duncan-Chang模型切线模量的残差平方和小,因而改进模型能更好地模拟实际情况;试验参数取平均值时改进切线模量的残差平方和比其利用回归分析所得的残差平方和大,说明利用回归分析法拟合试验参数是一种很好的途径,其结果更符合材料客观平均状态。The tangent modulus of Duncan-Chang was improved.The improved model was proved to be able to overcome the mathematic defects of stress-strain curve from the traditional model.Regression analysis of the Duncan-Chang modules and the improved tangent modulus were carried out using the lsqcurvefit function of Matlab based on triaxial test parameters.The results show that： the residual sum of squares of improved tangent modulus is smaller than that of the Duncan-Chang model,which makes the improved tangent modulus better on simulating the real situation.For the improved tangent modulus,the residual sum of squares based on the average test parameters is bigger than that based on test parameters obtained by the regression analysis.So it is a good approach to use the regression analysis to fit test parameters,as the result agrees better with the normal state of the material.

关 键 词：DUNCAN-CHANG模型 改进切线模量 回归分析 残差平方和 

分 类 号：TU43[建筑科学—岩土工程]