基于随机模糊参数的结构模糊可靠性分析模型

Model for structural fuzzy reliability analysis based on fuzzy random parameter

结构模糊可靠性理论研究主要是建立仅考虑失效准则模糊性的结构模糊可靠性分析模型.在现有结构模糊可靠性分析理论研究的基础上,同时考虑工程中结构参数的随机性和区间模糊性,提出了模糊概率密度函数的概念,并推导相应的模糊概率密度函数公式,给出了反映随机参数区间模糊性的隶属函数的类型和选取方法.建立了同时考虑随机参数区间模糊性和失效准则模糊性的结构模糊可靠性分析模型.讨论了模糊可靠性分析模型与常规的随机可靠性分析模型的相容性.并给出算例进行验证,研究结果表明,采用该结构模糊可靠性分析方法更能全面地利用结构参数信息.

The research of structural fuzzy reliability theory is to set up a model for structural fuzzy reliability analysis just considering the defining fuzzy safety state. Based on the existed theory for structural fuzzy reliability analysis, a model for structural fuzzy reliability analysis accounting interval fuzziness of random parameter was presented. Thinking about the randomness and the interval fuzziness of structural parameter, the conception and expression of fuzzy probability density function was put forward. The type and method of selecting membership function of random parameter was given. A model for structural fuzzy reliability analysis accounting both interval fuzziness of random and defining fuzzy safety state was set up. The compatibility between the model for fuzzy reliability analysis and the random reliability analysis model was discussed. A example was given to verify the validity of the method. The result of the research shows that the method for structural fuzzy reliability can more completely utilize the structural parameter information.