土工基础

›› 2015, Vol. 29 ›› Issue (4): 107-109.

• 工程实录 • 上一篇    下一篇

对称三角模糊数的最小一乘线性回归法确定岩石抗剪强度参数

陈志博   

  1. （上海市建工设计研究院有限公司,上海 200050 ）
  • 收稿日期:2014-07-17 出版日期:2015-08-20 发布日期:2015-11-06
  • 作者简介:陈志博（1988-），男，助理工程师，研究方向为岩土工程。

Determination the Shear Strength Parameters of Rock Mass through the Least Absolute Linear Regression on Symmetric Triangular Fuzzy Numbers

CHEN Zhibo   

  1. (Shanghai Construction Design and Research Institute Co., Ltd., Shanghai 200050)
  • Received:2014-07-17 Online:2015-08-20 Published:2015-11-06

摘要： 针对岩石抗剪强度参数的随机性与模糊性，采用对称三角模糊数表示岩石抗剪强度参数的取值及其范围，以此反映岩石抗剪强度参数取值的区间性特征。然后，根据最小一乘准则，提出基于对称三角模糊数的最小一乘线性回归确定岩石抗剪强度参数的新方法，该方法不但能反映岩石抗剪强度参数不确定性的特点，还能有效降低奇异数据对拟合结果的影响，且计算简单，方便应用。最后，通过工程实例并与其他方法分析比较表明该法的合理性。

关键词: 岩石抗剪强度, 对称三角模糊数, 最小一乘法, 参数拟合

Abstract: The shear strength parameters of rock mass have the characteristics of randomness of fuzziness. This paper presents an approach of determination of the rock mass shear strength zone based on symmetric triangular fuzzy numbers. The rock strength parameters are determined through the least absolute linear regression. This method not only can reflect the uncertainty of the shear strength parameter, it but also can reduce the impact of abnormal data on the data fitting results. This new approach has the advantage of simple calculation and easy to use. A case history of rock mass shear strength parameters determination is presented in the paper.

Key words: Shear Strength of Rock Mass, Symmetric Triangular Fuzzy Numbers, Least Absolute Linear Regression, Data Fitting