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模糊可靠性模型的收敛性及改进的截集分布

张萌 陆山

张萌, 陆山. 模糊可靠性模型的收敛性及改进的截集分布[J]. 北京航空航天大学学报, 2014, 40(8): 1109-1115. doi: 10.13700/j.bh.1001-5965.2014.0026
引用本文: 张萌, 陆山. 模糊可靠性模型的收敛性及改进的截集分布[J]. 北京航空航天大学学报, 2014, 40(8): 1109-1115. doi: 10.13700/j.bh.1001-5965.2014.0026
Zhang Meng, Lu Shan. Convergence of fuzzy reliability models and an improved cut-set distribution[J]. Journal of Beijing University of Aeronautics and Astronautics, 2014, 40(8): 1109-1115. doi: 10.13700/j.bh.1001-5965.2014.0026(in Chinese)
Citation: Zhang Meng, Lu Shan. Convergence of fuzzy reliability models and an improved cut-set distribution[J]. Journal of Beijing University of Aeronautics and Astronautics, 2014, 40(8): 1109-1115. doi: 10.13700/j.bh.1001-5965.2014.0026(in Chinese)

模糊可靠性模型的收敛性及改进的截集分布

doi: 10.13700/j.bh.1001-5965.2014.0026
基金项目: 

国家自然科学基金资助项目(70471057,71171164);陕西省教育厅自然科学基金资助项目(03JK065)

详细信息
    作者简介:

    张萌(1986-),女,陕西合阳人,博士生,zhangmeng19860518@163.com.

  • 中图分类号: TB114.3

Convergence of fuzzy reliability models and an improved cut-set distribution

  • 摘要: 基于截集法的结构模糊可靠性基本模型已被用于各种可靠性工程问题中,形成了应力-强度模糊可靠性干涉模型、结构疲劳寿命模糊可靠性模型和结构抗共振模糊可靠性模型等具体模型.提出了常用截集分布下模糊可靠性模型的收敛性定理,并予以理论证明,进而针对单侧无限安全域和双侧无限安全域这两类模型,分别给出了相应推论.定理表明,当截集逐渐变长时,采用常用截集分布所得的可靠性分析结果趋于某一固定值,而与具体的结构无关,因此是不合理的.为了避免这种不足,提出了一种新的截集分布——修正的截尾正态分布.并通过3个具体例子验证,采用文中所给的截集分布,模糊可靠性模型收敛于相应的随机可靠性模型,表明其具有良好的收敛性和更好的适用性.

     

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出版历程
  • 收稿日期:  2014-01-15
  • 刊出日期:  2014-08-20

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