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中南大学学报(自然科学版)

Journal of Central South University

第41卷    第4期    总第194期    2010年8月

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文章编号:1672-7207(2010)04-1522-06
重力式挡土墙结构模糊随机可靠性分析
肖尊群1,刘宝琛1,乔世范1,杨小礼1,刘宇飞1,杨仙2,何礼彪1,李小林3

(1. 中南大学 土木建筑学院,湖南 长沙,410075;
2. 中南大学 地学与环境工程学院,湖南 长沙,410083;
3. 中铁工程设计咨询集团有限公司,北京,100055
)

摘 要: 考虑可靠性分析模型中随机参数的模糊性,利用一次二阶矩法建立模糊随机可靠性分析模型。利用分解定理,取一系列λ截集,将模糊数转换为一系列区间数进行运算,得到一种模糊随机可靠度的计算方法即λ截集法。分别建立倾覆失稳和滑移失稳2种失稳模式下的结构功能函数,确定2种失稳模式下模糊随机变量,利用模糊随机可靠度的计算方法分别对2种失稳模式进行计算,得到2个相应的模糊随机可靠度指标及失稳概率。将该计算方法与相关文献提供的计算方法进行对比。研究结果表明:由λ截集法与其他算法所得计算结果差异明显,其原因是其他算法把挡土墙的结构功能函数Z假设成正态分布,从而得出的概率密度函数f(Z)有误差;采用λ截集法计算的模糊随机可靠度更符合实际情况。

 

关键字: 一次二阶矩法;模糊随机可靠度;λ截集;区间数;挡土墙

Analysis of fuzzy reliability for gravity retaining wall structure
XIAO Zun-qun1, LIU Bao-chen1, QIAO Shi-fan1, YANG Xiao-li1, LIU Yu-fei1,
YANG Xian2, HE Li-biao1, LI Xiao-lin3

1. School of Civil and Architectural Engineering, Central South University, Changsha 410075, China;
2. School of Geoscience and Environmental Engineering, Central South University, Changsha 410083, China;
3. China Railway Engineering Consultants Groups, Beijing 100055, China

Abstract:Considering the fuzzy uncertainties of the parameters of stochastic variables, FOSM (First order second moment) was utilized and fuzzy random dependability analyzing model was set up. By using decomposing theorem and introducing λ cut set,fuzzy numbers were convened into a series of interval numbers and fuzzy random reliability computing technology was received. The major unstable modes of gravity retaining walls are overturning and sliding. Two performance functions against overturning and sliding of gravity retaining walls were established and the fuzzy random variables were confirmed for the two kinds of invalid modes. Two kinds of failure modes are calculated separately by using fuzzy random reliability computing technology, and two fuzzy random reliability indexes and corresponding failure probabilities are received. Comparing with computing technology proposed in relevant literature, the result of calculation shows that the difference of calculation result is obvious. The reason for producing the difference is that other methods supposes performance functions Z of the gravity retaining wall into normal distribution, there exists error to obtain the probability density function f(Z) in this treatment. Fuzzy random reliability value calculated by λ cut set way is in accordance with the actual results further.

 

Key words: first order second moment; fuzzy stochastic reliability; λ cut set; interval numbers; retaining wall

中南大学学报(自然科学版)
  ISSN 1672-7207
CN 43-1426/N
ZDXZAC
中南大学学报(英文版)
  ISSN 2095-2899
CN 43-1516/TB
JCSTFT
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