联合模糊和随机不确定性的结构可靠性分析  

Structural reliability analysis under joint fuzzy and random uncertainty

作　　者：邵煜[1] 张土乔[1] 

机构地区：[1]浙江大学土木工程学系,浙江杭州310058

出　　处：《浙江大学学报（工学版）》2008年第9期1474-1478,共5页Journal of Zhejiang University：Engineering Science

基　　金：国家自然科学基金资助项目(50278088);新世纪优秀人才支持计划资助项目(NCET-04-0525)

摘　　要：针对模糊参数和随机参数同时存在的情况,运用蒙特卡罗随机模拟产生随机样本,结合模糊可能性分布,通过使用进化策略的α-截集优化方法,进行模糊分析,从而获得模糊结果的集合.通过证据理论对模糊结果集合进行后处理,获得边界概率累积分布.另外通过对参数进行模糊可能性分布和随机分布的相互转换,进行只有单类参数的模糊分析和随机分析,并与联合考虑模糊和随机参数方法相比较,结果表明,该方法能够同时考虑参数的随机性和模糊性,在参数到结果的不确定性传递过程中人工误差较少,并能够给出更合理的结果.In the case of both fuzzy and random parameters occur together, combining Monte Carlo random sampling of probability distribution functions with fuzzy possibility distribution of fuzzy parameter, the fuzzy result set was obtained by using -level optimization method with evolution strategy. The upper and lower probability distributions were derived by post-processing the fuzzy result set based on evidence theory. The solutions from the fuzzy analysis and random simulation by considering only one type uncertainty respectively were compared with the proposed procedure＇ s. The results show that： this method can consider fuzzy and random parameters properly together; there are lower artificial errors when propagating uncertainty involving imprecision and randomness; and some more useful information can be offered. A numerical example was given to illustrate the applicability and effectiveness of the proposed procedure.

关 键 词：模糊参数 随机参数 结构可靠性 进化策略 α-截集优化 证据理论 

分 类 号：TU560.55[建筑科学—建筑技术科学]