李洪双, 吕震宙. 枚举模糊随机主要失效模式的准则法[J]. 力学与实践, 2005, 27(5). DOI: 10.6052/1000-0992-2004-322
引用本文: 李洪双, 吕震宙. 枚举模糊随机主要失效模式的准则法[J]. 力学与实践, 2005, 27(5). DOI: 10.6052/1000-0992-2004-322
A PRACTICAL CRITERION FOR ENUMERATION OF THE FUZZY-RANDOM SIGNIFICANT FAILURE MODES[J]. MECHANICS IN ENGINEERING, 2005, 27(5). DOI: 10.6052/1000-0992-2004-322
Citation: A PRACTICAL CRITERION FOR ENUMERATION OF THE FUZZY-RANDOM SIGNIFICANT FAILURE MODES[J]. MECHANICS IN ENGINEERING, 2005, 27(5). DOI: 10.6052/1000-0992-2004-322

枚举模糊随机主要失效模式的准则法

A PRACTICAL CRITERION FOR ENUMERATION OF THE FUZZY-RANDOM SIGNIFICANT FAILURE MODES

  • 摘要: 基于模糊不确定性向随机不确定性的等价转换和有限元分析计算,建立了以失效模式相对重要度为依据的广义主要失效模式枚举的工程准则法. 该方法可以综合考虑材料参数、结构几何以及外载荷等基本变量的随机和模糊两种不确定性因素对失效模式相对重要度的影响,通过合理选择门槛值,可以在保证计算精度的基础上尽可能的减小计算工作量. 以平尾转轴的模糊随机可靠性分析为算例,给出了门槛值的经验值,并说明了所建工程准则法的合理性.

     

    Abstract: Based on the equivalent transformation from fuzzyvariables to random variables and the finite element method (FEM)calculation, a practicalcriterion, with the relative probability importance as a measure ofthe failure mode, is presented to enumerate the fuzzy-random significantfailure modes for the fuzzy-random reliability analysis of complicatdstructures. Not only randomness but also fuzziness in the basic variables areconsidered in the criterion. The mean values and the coefficientsof variation in the basic random variables are included in the relativeprobability importance of the failure mode, as well as the equivalent mean valuesand the equivalent coefficients of variation in the basic fuzzy variables.With a high precision, the criterion can greatlyreduce the computation cost and the possibility of missing importantfailure modes. The fuzzy-random reliability analysis for the shaft structureof an airplane is made to illustrate the rationality of the present method.

     

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