华南理工大学学报(自然科学版) ›› 2011, Vol. 39 ›› Issue (6): 137-141.doi: 10.3969/j.issn.1000-565X.2011.06.024

• 土木建筑工程 • 上一篇    下一篇

基于模糊数学和粒子群算法的边坡参数反分析

孙志彬 杨小礼 黄阜   

  1. 中南大学 土木工程学院,湖南 长沙 410075
  • 收稿日期:2010-12-08 修回日期:2011-03-10 出版日期:2011-06-25 发布日期:2011-05-06
  • 通信作者: 孙志彬(1984-) ,男,博士生,主要从事边坡和隧道工程研究. E-mail:wildboar1984@yahoo.com.cn
  • 作者简介:孙志彬(1984-) ,男,博士生,主要从事边坡和隧道工程研究.
  • 基金资助:

    湖南省自然科学基金资助项目( 09JJ1008)

Inversion Analysis of Slope Parameters Based on Fuzzy Mathematics and Particle Swarm Optimization Algorithm

Sun Zhi-bin  Yang Xiao-li  Huang Fu   

  1. School of Civil Engineering,Central South University,Changsha 410075,Hunan,China
  • Received:2010-12-08 Revised:2011-03-10 Online:2011-06-25 Published:2011-05-06
  • Contact: 孙志彬(1984-) ,男,博士生,主要从事边坡和隧道工程研究. E-mail:wildboar1984@yahoo.com.cn
  • About author:孙志彬(1984-) ,男,博士生,主要从事边坡和隧道工程研究.
  • Supported by:

    湖南省自然科学基金资助项目( 09JJ1008)

摘要: 传统的利用边坡位移进行力学参数反分析的方法构造的目标函数较为简单.为了体现滑坡土体的不同性质,文中在传统优化方法的基础上,分析了滑坡体内部土体的位移特点,并将滑坡土体分为滑坡床、滑坡面和滑坡体3 个类别.然后分别利用模糊数学和粒子群算法求得不同位置土体对3 个类别的隶属度以及3 个类别的位移权重,并根据土体的隶属度和3 个类别的权重构造目标函数.新的目标函数能够反映不同位置土体的滑移特征.最后计算了文中方法和传统方法的目标函数对强度参数的敏感度,结果表明利用文中方法的构造的目标函数对强度参数的敏感性较强,新方法的应用效果较好.

关键词: 边坡工程, 滑坡, 反分析, 强度参数, 加权系数, 模糊数学, 粒子群优化算法

Abstract:

For the traditional inversion analysis method of mechanical parameters using the slope soil displacement,the objective function is too simple to represent the characteristics of the soil in the slope. In order to solve this problem,based on the traditional method, the displacement characteristics of the soil in the slope are analyzed,and the soil is divided into three categories,namely,the landslide bed,the landslide surface and the landslide body. Then,the memberships of the soil at different locations to each soil category are obtained by means of fuzzy mathematics,and the weights of each soil category are obtained via the particle swarm optimization. Moreover,a new objective function is constructed according to the memberships and the weights,which well describes the sliding characteristics of the soil at different locations. Finally,the sensitivities of the objective functions of the traditional and the proposed methods are calculated,respectively. The results show that the new objective function is more sensitive to mechanical parameters and is more effective in practice.

Key words: slope engineering, landslide, inversion analysis, strength parameter, weight coefficient, fuzzy mathematics, particle swarm optimization algorithm