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正态疲劳母体样本标准差的Weibull分布特征及应用

刘青 王泓 乙晓伟 杨智 王新波

刘青, 王泓, 乙晓伟, 杨智, 王新波. 正态疲劳母体样本标准差的Weibull分布特征及应用[J]. 机械科学与技术, 2015, 34(7): 1117-1122. doi: 10.13433/j.cnki.1003-8728.2015.0730
引用本文: 刘青, 王泓, 乙晓伟, 杨智, 王新波. 正态疲劳母体样本标准差的Weibull分布特征及应用[J]. 机械科学与技术, 2015, 34(7): 1117-1122. doi: 10.13433/j.cnki.1003-8728.2015.0730
Liu Qing, Wang Hong, Yi Xiaowei, Yang Zhi, Wang Xinbo. Weibull Distribution Features and Application of Sample Standard Deviation for Normal Fatigue Matrix[J]. Mechanical Science and Technology for Aerospace Engineering, 2015, 34(7): 1117-1122. doi: 10.13433/j.cnki.1003-8728.2015.0730
Citation: Liu Qing, Wang Hong, Yi Xiaowei, Yang Zhi, Wang Xinbo. Weibull Distribution Features and Application of Sample Standard Deviation for Normal Fatigue Matrix[J]. Mechanical Science and Technology for Aerospace Engineering, 2015, 34(7): 1117-1122. doi: 10.13433/j.cnki.1003-8728.2015.0730

正态疲劳母体样本标准差的Weibull分布特征及应用

doi: 10.13433/j.cnki.1003-8728.2015.0730
详细信息
    作者简介:

    刘青(1989-),硕士,研究方向为疲劳及可靠性分析,材料结构与性能,liuqing7410@163.com

    通讯作者:

    王泓,副教授,博士,wanghong@nwpu.edu.cn

Weibull Distribution Features and Application of Sample Standard Deviation for Normal Fatigue Matrix

  • 摘要: 采用数值方法,研究了服从正态分布的总体在不同样本容量时其样本标准差的分布特征及变化规律,结果表明小子样条件下样本标准差呈偏态分布,具有Weibull分布的特征。利用三参数Weibull分布归纳出分布参数的数学模型,进而提出了一种具有更高精度的小子样总体标准差区间估计方法,并得到试验数据的验证。
  • [1] 郑修麟,王泓,鄢君辉,等.材料疲劳理论与工程应用[M].北京:科学出版社,2013 Zheng X L, Wang H, Yan J H, et al. Fatigue theory of materials and applications in engineering [M]. Beijing: Science Press, 2013 (in Chinese)
    [2] 高镇同,熊峻江.疲劳可靠性[M].北京:北京航空航天大学出版社,2000 Gao Z T, Xiong J J. Fatigue reliability [M]. Beijing: Beihang University Press, 2000 (in Chinese)
    [3] 师义民,徐伟,秦超英,等.数理统计[M].北京:科学出版社,2009 Shi Y M, Xu W, Qin C Y, et al. Mathematical statistics[M]. Beijing: Science Press, 2009 (in Chinese)
    [4] 高镇同.航空金属材料疲劳性能手册[M].北京:北京航空材料研究所,1981 Gao Z T. Handbook of fatigue properties of aeronautical metals [M]. Beijing: Beijing Institute of Aeronautical Materials, 1981 (in Chinese)
    [5] 吕箴,姚卫星.小样本疲劳寿命分析问题研究进展[J].力学与实践,2008,30(5):9-15 Lü Z, Yao W X. Progress in small sample experiments for fatigue life analysis [J]. Mechanics in Engineering, 2008, 30(5): 9-15 (in Chinese)
    [6] 田远.极小子样可靠性评估方法研究及在C70型敞车中枕梁结构评估中的应用[D].北京:北京交通大学,2008 Tian Y. Research on extreme small sample reliability evaluation method and its application on center sill and body bolster of C70 gondola car [D]. Beijing: Beijing Jiaotong University, 2008 (in Chinese)
    [7] 董聪.可靠性工程中的经验Bayes方法(Ⅲ)[J].系统工程与电子技术,1996,(9):69-75 Dong C. Emperical Bayesian method in reliability engineering [J]. Systems Engineering and Electronics, 1996,(9):69-75 (in Chinese)
    [8] Padgett W J. On Bayes estimation of reliability for the Birnbaum-Saunders fatigue life model [J]. IEEE Transactions on Reliability, 1997,31(5):436-438
    [9] Mahadevan S, Rebba R. Validation of reliability computational models using Bayes networks [J]. Reliability Engineering and System Safety, 2005,87(2):223-232
    [10] Zhang R X, Mahadevan S. Bayesian methodology for reliability model acceptance [J]. Reliability Engineering and System Safety, 2003,80(1):95-103
    [11] 施剑玮,姚卫星.估计构件疲劳极限的Bayes极小样本方法[J].机械强度,2007,29(2):334-337 Shi J W, Yao W X. Minimum sample method to determine the fatigue limits of structural components based on Bayes estimation [J]. Journal of Mechanical Strength, 2007,29(2):334-337 (in Chinese)
    [12] 段晓君,王正明.小子样下的Bootstrap方法[J].弹道学报,2003,15(3):1-5 Duan X J, Wang Z M. Applicability of Bootstrap method in small sample case [J]. Journal of Ballistics, 2003,15(3):1-5 (in Chinese)
    [13] Efron B. Bootstrap methods: another look at the jackknife [J]. The Annals of Statistics, 1979,7(1):1-26
    [14] 黄玮,冯蕴雯,吕震宙.极小子样试验的虚拟增广样本评估方法[J].西北工业大学学报,2005,23(3):384-387 Huang W, Feng Y W, Lü Z Z. Virtually expanded sample estimation method for extremely small-scale sample test [J]. Journal of Northwestern Polytechnical University, 2005,23(3):384-387 (in Chinese)
    [15] 杨华波,张士峰,蔡洪.Weibull分布可靠性分析[J].飞行器测控学报,2003,22(4):37-42 Yang H B, Zhang S F, Cai H. Reliability analysis of Weibull distribution [J]. Journal of Spacecraft TT&C Technology, 2003,22(4):37-42 (in Chinese)
    [16] Chernick M R. Bootstrap methods: a guide for practitioners and researchers [M]. 2 Edition. New York: Wiley-Interscience, 2007
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出版历程
  • 收稿日期:  2013-12-06
  • 刊出日期:  2015-07-05

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