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      |本期目錄/Table of Contents|

      [1]白恩軍,黃樹濤,謝里陽.威布爾分布下小樣本P-S-N曲線擬合方法[J].西安交通大學學報,2019,53(09):96-101.[doi:10.7652/xjtuxb201909013]
       BAI Enjun,HUANG Shutao,XIE Liyang.P-S-N Curves Fitting of Small Sample with Fatigue Lives Obeying Weibull Distribution[J].Journal of Xi'an Jiaotong University,2019,53(09):96-101.[doi:10.7652/xjtuxb201909013]
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      威布爾分布下小樣本P-S-N曲線擬合方法(PDF)

      《西安交通大學學報》[ISSN:0253-987X/CN:61-1069/T]

      卷:
      53
      期數:
      2019年第09期
      頁碼:
      96-101
      欄目:
      出版日期:
      2019-09-10

      文章信息/Info

      Title:
      P-S-N Curves Fitting of Small Sample with Fatigue Lives Obeying Weibull Distribution
      作者:
      白恩軍1 黃樹濤1 謝里陽2
      1.沈陽理工大學汽車與交通學院, 110159, 沈陽; 2.東北大學航空動力裝備振動及控制教育部重點實驗室, 110819, 沈陽
      Author(s):
      BAI Enjun1 HUANG Shutao1 XIE Liyang2
      1.School of Automobile and Transportation, Shenyang Ligong University, Shenyang 110159, China; 2.Laboratory of Vibration and Control of Aero-Propulsion System, Northeastern University, Shenyang 110819, China
      關鍵詞:
      P-S-N曲線 小樣本 統計分析 疲勞壽命等效 威布爾分布
      Keywords:
      P-S-N curve small sample statistical analysis equivalent fatigue life Weibull distribution
      分類號:
      TB114
      DOI:
      10.7652/xjtuxb201909013
      摘要:
      為擬合疲勞壽命服從威布爾分布的小樣本P-S-N(失效概率-應力-循環次數)曲線,提出了小樣本疲勞壽命試驗數據統計分析與P-S-N曲線擬合方法。根據疲勞壽命均值和標準差與應力水平的線性關系,基于已知的最高級應力水平的疲勞壽命分布參數,使用疲勞壽命算術平均值替代其他級應力水平均值(期望),獲得疲勞壽命均值與應力水平的線性關系。根據此關系,將不同級應力水平的疲勞壽命等效到最高級應力水平,檢驗等效壽命與最高級應力水平疲勞壽命的均值相對誤差,反推各級應力水平疲勞壽命的統計參數,從而實現了P-S-N曲線的擬合。算例結果表明:使用全部疲勞壽命數據時,所提方法擬合結果與傳統方法擬合結果相對誤差小于1%; 對于擬合設計的2組方案(8-5-5和8-3-3),所提方法與傳統方法擬合結果相對誤差小于10%; 所提方法能夠得到較為合理的參數,獲得較好的P-S-N曲線擬合結果。
      Abstract:
      To fit the P-S-N curves of small sample, whose fatigue lives obeying Weibull distribution, a statistical analysis method of fatigue lives of small sample and a fitting scheme of P-S-N curves are proposed.According to the linear relationship between the mean or standard deviation of fatigue lives and the stress level under the logarithmic coordinates, the distribution parameters of the highest stress level are considered, the arithmetic means of fatigue lives are chosen instead of the means at other stress levels to obtain the linear relationship between the means of fatigue lives and the stress levels under the logarithmic coordinates.Following this relationship, the fatigue lives at different stress levels can be equivalently transformed to the highest stress level, and the relative errors between the means of fatigue lives and the equivalent fatigue lives are checked at the highest stress level.Then the distribution parameters of each stress level are achieved to fit the P-S-N curves.When all fatigue lives in a reference are used, the relative error of fitting results between the proposed method and the traditional method is less than 1%.By virtue of two groups of fitting schemes of small samples(8-5-5 and 8-3-3), the relative errors between the proposed method and the traditional method are less than 10%.The proposed method is also able to obtain more reasonable parameters and fit more accurate P-S-N curves.

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      備注/Memo

      備注/Memo:
      收稿日期: 2019-04-15。作者簡介: 白恩軍(1986—),男,師資博士后;痦椖: 國家自然科學基金-遼寧聯合基金資助項目; 遼寧省重大裝備制造協同創新中心資助項目。
      更新日期/Last Update: 2019-09-04
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