航空学报 > 1994, Vol. 15 Issue (3): 331-335

单侧容限对应实际存活率的预测

林富甲1, 李祖钊2   

  1. 1. 西北工业大学五系,西安,710072;2. 景德镇825信箱,景德镇,333001
  • 收稿日期:1992-10-13 修回日期:1993-05-31 出版日期:1994-03-25 发布日期:1994-03-25

PREDICTION OF THE TRUE SURVIVAL PROBABILITY CORRESPONDING TO THE ONE-SIDED TOLERANCE LIMIT

Lin Fujia1, Li Zhuzhao2   

  1. 1. Fifth Department, Northwestern PolytechnicaL University,Xi'an,710072;2. Box 825 of Jingdezhen,Jingdezhen,333001
  • Received:1992-10-13 Revised:1993-05-31 Online:1994-03-25 Published:1994-03-25

摘要: 研究了单侧容限系数法中子样容量n、置信度γ及名义存活率P与实际存活率α之间的定量关系,导出了α的预测公式。计算结果表明:在n较小,γ与P搭配不当时,将出现α小于P的不合理情况。此时,名义存活率P将过高地表示了安全性,从而使人盲目乐观。本文指出:在飞机或直升机结构可靠性分析中,子样容量n通常远小于43,因此,某些文献中建议取γ=90%,P=0.999999是不合理的,本文提出了新的建议。

关键词: 可靠性分析, 疲劳寿命, 容限

Abstract: n the structural reliability analysis one-sided tolerance limit X-KS is usually used hrthe lower limit of a normally distributed population X with unknown mean μand unknown standard deviation σ In the above expression k is called ont-sided tolerance limit factor and X and S are the sample estimates of μand σ,respectively. The tolerance interval(X-KS,+∞)is required to be such that the probability is equal to a preassigned valueγ(which is called confidenee) that the tolerance interval includes at least a given proportion Pof the population(which is called nominal survival probability).There is an important q uestion:what is the true survival probability a corresponding to the one-sided tolerance limil?In the present paper the formula for predictingois derived.From the numerical results,in some instances the true surviv- al probability a may be less than the nominal survival probability P. For example,when γ=90%,P=0.999 999,if the sample size n is less than 43 then α< P.In the aircraft or helicopter struc- tural reliability analysis the sample size n is usually much less than 43.Therefore,γ=90% and P=0.999 999 recommended in some literature are unreasonable.

Key words: reliability analysis, fatigue life, tolerances (mechanism)

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