Transactions of the Korean Society of Mechanical Engineers A (대한기계학회논문집A)

The Korean Society of Mechanical Engineers (대한기계학회)
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Estimation of Fatigue Crack Growth using Gamma Process Model

감마과정 모델을 적용한 피로균열 진전거동의 예측

  • Park, Sung Ho (Defense Systems Test Center, Agency for Defense Development) ;
  • Kim, Jae Hoon (Dept. of Mechanical Design Engineering, Choongnam Nat'l Univ.)
  • 박성호 (국방과학연구소 종합시험본부) ;
  • 김재훈 (충남대학교 공과대학 기계설계학과)
  • Received : 2014.06.02
  • Accepted : 2014.08.19
  • Published : 2014.11.01
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Abstract

The physical nature of fatigue shows the considerable amount of scatter from intrinsic and extrinsic factors. In this study, some degradation models, such as the gamma process model, were reviewed in terms of uncertainties associated with the continuous, gradual, and monotonic nature of fatigue crack growth. Statistically varying fatigue crack growth data obtained from Lu and Meeker were used as an example to demonstrate the use of the gamma process model. This model can describe the condition and lifetime as statistical distribution curves whose shapes vary with cycles. From the skewness of the statistical distribution curves, it was confirmed that the median is suitable for being considered as the expected life. The use of the gamma process model enables the optimum replacement period and percentile life to be employed as criteria for preventive maintenance policy.

피로균열 진전거동은 내재적, 외재적 요인에 의하여 시간 경과에 따라 많은 변동을 보인다. 감마과정 모델을 포함하여 연속적, 점진적 그리고 단조롭게 진전하는 피로균열 진전거동의 불확실성을 모사하기 위한 열화모델을 고찰하였다. Lu와 Meeker의 피로시험 자료에 감마과정 모델을 적용하여 시간에 따라 확률적으로 변동하는 피로균열 진전거동을 예측하였다. 피로균열 진전에 관한 상태저하와 수명을 시간에 따라 형상이 변화하는 확률분포 곡선으로 표현하였으며 비대칭도와의 관계로부터 기대수명으로 중위수의 적용이 적절함을 확인하였다. 최적 교체주기와 백분위 수명에 관한 고찰로 감마과정 모델이 예방정비을 위한 정책판단 기준으로 활용할 수 있음을 제시하였다.

Keywords

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