基于区间数理论的基坑周边建筑物风险模糊评判

以建筑的沉降值、倾斜度和损伤系数为代表性指标,提出了基坑周边建筑风险的评判流程.引入了区间数理论来描述上述指标的随机性;为了使指标有广泛的代表性,通过有限元模拟来计算沉降值和倾斜度,引入损伤系数来反映建筑的损伤状态;针对评判标准的模糊性,提出了4级S型隶属度函数;针对建筑风险的特点,将实数的超标加权法引入到区间数,并作了相应的改进.工程应用表明,用这3种指标分别评判的风险等级互有偏差,而综合评判的风险等级则大致符合实测结果.

Fuzzy Risk Judgment of Building around Foundation Pit Based on Interval Theory

An evaluation procedure was proposed for buildings adjacent to excavation by taking the settlements, inclinations and damage coefficients of buildings as typical indexes. Interval theory was used to describe the randomness of these above indexes. For the representativeness of these indexes, the settlements and inclinations of buildings were calculated by finite element simulation, and the damage coefficients were introduced to reflect the damage states of buildings. Four membership functions of S-type were proposed for the fuzziness of evaluation standards. Super weight method of real numbers was introduced and improved to interval numbers for the characteristics of building risks. Application results have shown that there are deviations among the risk grades judged respectively by these three indexes, but the risk grades synthetically judged correspond with the measured results approximately.