混合不确定因素下的复合材料模糊可靠性优化设计  

FUZZY RELIABILITY-BASED OPTIMUM DESIGN OF COMPOSITES UNDER THE MIXED UNCERTAINTIES

作　　者：魏俊红[1,2] 陈建桥[1,2] 滕亚莉[1,2] 

机构地区：[1]华中科技大学力学系,武汉430074 [2]工程结构分析与安全评定湖北省重点实验室,武汉430074

出　　处：《机械强度》2013年第2期183-187,共5页Journal of Mechanical Strength

基　　金：国家自然科学基金(10772070);中央高校基本科研业务费专项资金(2010MS042)资助

摘　　要：考虑失效(安全)状态的模糊性以及设计变量和设计参数的区间性,研究复合材料基于模糊状态下随机变量和区间变量共存时结构的可靠度优化设计。算例考虑单层复合材料强度指标的随机性、设计变量或材料参数的区间性以及极限状态的模糊性,结果说明所提出的基于模糊状态的混合可靠度模型和计算方法的合理性及有效性。同时,对模糊状态以及区间性的影响进行分析和讨论,研究发现极限状态的模糊性、设计变量或材料参数的区间性对可靠性分析及优化设计结果有较大影响。Considering the fuzziness of failure （safety） state and the mixed uncertainties, fuzzy reliability model and fuzzy reliability-based optimum design mode were proposed. In the composite fuzzy reliability optimum example, the five strength parameters were considered as random parameters, the mechanical properties as interval parameters and the safe sate as fuzzy state. The results illustrate the validity and efficiency of the model proposed. By using the model and the computation method developed, the reliability of composites can be evaluated more rationally and synthetically. The influences of fuzzy state and interval variable on the assessed reliability are discussed too. The results show that the fuzzy state and the interval mechanical properties have great influences on the reliability and reliability optimum design.

关 键 词：复合材料 模糊状态 混合不确定 区间分析 可靠性设计 

分 类 号：TB33[一般工业技术—材料科学与工程] TB114.39[理学—概率论与数理统计]