基于α截集法的生土窑居模糊随机可靠度分析-《郑州大学学报(工学版)》

文章信息/Info

Title:: Analysis about Fuzzy Random Reliability of Earth-Sheltered Dwellings Based on a Cut Sets

作者:: 郭平功; 童丽萍.; 郑州大学土木工程学院,河南郑州450001;河南城建学院土木工程系,河南平顶山467036, 郑州大学土木工程学院,河南郑州,450001

Author(s):: GUO Pinggong; TONG Liping; 1. School of Civil Engineering , Zhengzhou University, Zhengzhou 450001, China; 2. Depariment of Civil Engineering,Henan University of Urban Construction,Pingdingshan 467036, China

Keywords:: α cut set; strength reduction method; fuzzy random reliability; excess safety factor; response surface; cohesive force; internal friction angle

摘要:: 研究生土窑居的模糊随机可靠度,分析黄土力学材料参数对其影响.通过α截集法,将土体力学材料参数的模糊分布离散在区间上,将模糊随机可靠度问题转化为随机可靠度问题；基于强度折减法,建立土体黏聚力、内摩擦角与富裕安全系数的映射关系,用不含交叉项的二次多项式响应面函数代表生土窑居的功能函数,进而进行随机可靠度分析.对河南三门峡陕县的生土窑居的模糊随机可靠度进行了研究,表明该地区生土窑居可靠性较高,营造时选址合理,同时指出:模糊随机可靠指标在一定区间上分布,而模糊验算点为一定值；变异系数的增大将导致模糊随机可靠指标的迅速减小；黏聚力对可靠指标的影响比内摩擦角大.

Abstract:: The fuzzy random reliability of earth-sheltered dwelling is researched in order to analyse the influence of loess mechanical parameters. Based on a cut sets , the fuzzy loess mechanical parameters are distributed in regions, and fuzzy random reliability problem is converted into random reliability problem. Due tostrength reduction method, relation between cohesive force, internal friction angle and excess safety factor isestablished, which is expressed by quadratie polynomial without cross terms and represents the performancefunetion of earth-sheltered dwelling. So the random reliability problem can be solved. The fuzzy random relia.bility research of earth-sheltered dwelling in Shan city, Henan province shows that, the reliability of earth.sheltered dwelling in this area is high, site selection is reasonable before construct, fuzzy random reliability in.dex is distributed in a region, checking point is constant, fuzzy random reliability index decreases sharply withcoefficient of variability increasing, and the influence of cohesive force on reliability index is higher than inter.nal friction angle.