基于随机–模糊理论的岩石抗剪强度参数的确定  

RANDOM-FUZZY MONOVARIANT LINEAR REGRESSION METHOD FOR DETERMINING THE SHEAR STRENGTH PARAMETERS OF ROCK

作　　者：王鹏[1] 李安贵[1] 蔡美峰[1] 杨同[1] 

机构地区：[1]北京科技大学土木与环境工程,北京100083

出　　处：《岩石力学与工程学报》2005年第4期547-552,共6页Chinese Journal of Rock Mechanics and Engineering

基　　金：国家"十五"科技攻关项目(2001BA609A–08)

摘　　要：在考虑岩石力学参数随机性和模糊性的基础上,改进了计算岩石抗剪强度参数的随机–模糊一元线性回归方法,导出了回归系数的不确定度、变异系数及回归方程的相关系数的表达式。同时以某矿岩石的三轴压缩试验资料为基础,讨论了岩石抗剪强度参数c,j 值的确定方法。通过与最小二乘法的计算结果对比可见,随机–模糊一元线性回归方法得出的回归方程与试验点的整体符合程度较最小二乘法要好,说明采用该方法得出的力学参数能够更好地反映岩石固有的力学特性。This random-fuzzy monovariant linear regression method for determining the shear strength parameters is modified in consideration of the randomness and fuzziness of rock. The formulae for calculating the uncertainty and variation coefficient of regression coefficients, and correlation coefficient of the regression equation, are derived. Based on the experimental data of triaxial compression test, methods for determining the values of the shear strength parameters of rock are discussed. The regression equation of the random-fuzzy monovariant linear regression method is more consistent with the experimental data than the least squares method. The results show that the proposed method is preferable to the conventional one.

关 键 词：岩石力学 随机-糊一元线性回归方法 抗剪强度参数 数字特征 

分 类 号：TU459.2[建筑科学—岩土工程]