| 基于模糊理论的随机可靠性分析 |
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| 引用本文： | 赵古田,董玉革,宋智燕. 基于模糊理论的随机可靠性分析[J]. 合肥工业大学学报(自然科学版), 2010, 33(2) |
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| 作者姓名： | 赵古田 董玉革 宋智燕 |
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| 作者单位： | 合肥工业大学机械与汽车工程学院,安徽,合肥,230009;合肥工业大学机械与汽车工程学院,安徽,合肥,230009;合肥工业大学机械与汽车工程学院,安徽,合肥,230009 |
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| 摘 要： | 文章针对传统可靠性分析中计算量较大、方法单一、无法处理模糊变量等问题,提出了在随机变量与模糊变量相互等价转换的基础上,用传统可靠性理论分析模糊可靠性问题以及用模糊数学方法计算传统可靠性问题;探讨了利用模糊数学中的截集和区间数等模糊理论进行可靠性计算;建立模糊应力强度干涉模型和概率论相结合,在不同的极限状态变量下进行可靠性计算;与传统可靠性计算的结论进行比较并分析误差原因。
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| 关 键 词： | 可靠性分析 随机变量 模糊变量 隶属度函数 模糊截集 区间数 |
Random reliability analysis based on the fuzzy theory |
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| ZHAO Gu-tian,DONG Yu-ge,SONG Zhi-yan. Random reliability analysis based on the fuzzy theory[J]. Journal of Hefei University of Technology(Natural Science), 2010, 33(2) |
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| Authors: | ZHAO Gu-tian DONG Yu-ge SONG Zhi-yan |
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| Abstract: | In order to sowe the existing problems in the traditional reliability analysis such as large a-mount of calculation,single method and inability to deal with fuzzy variables and so on,based on the necessary equivalent conversion between function of fuzzy variables and random variables,the paper uses the reliability of the traditional theory to analyze the fuzzy reliability problem and use fuzzy math to calculate the traditional reliability problem.And then the paper proposes to use the concept of fuzzy set and interval number in fuzzy math or establish the interference model of fuzzy stress strength,then to make calculation and verification of reliability according to different ultimate variables.Finally,the results are compared with the traditional one and deviations are analyzed. |
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| Keywords: | reliability analy-sis random variable fuzzy variable membership function fuzzy set interval number |
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