• 제목/요약/키워드: Weibull statistical analysis

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PECVD SiN 막의 절연파괴 전계분포의 통계적 고찰 (Statistical Analysis of Breakdown Field Distribution of PECVD SiN Films)

  • 성영권;한주민;오재하
    • 한국전기전자재료학회:학술대회논문집
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    • 한국전기전자재료학회 1988년도 춘계학술대회 논문집
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    • pp.84-87
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    • 1988
  • cIn this paper. we evaluate the breakdown and TDDB characteristics of ammonia free ECVD SiN films which studied widely as a gate insulator to substitute the silicon dioxide because of it's superior film characteristics with the merit of low temperature process. And also, we propose a new statistical model by introduce a dispersion factor in the traditional Weibull statistics. From the comparison of experimental result, and simulation one, try to dock the breakdown mechanism and statistical analysis.

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강도로교의 피로신뢰성 해석을 위한 실용적 모형 (A Practical Model for the Fatigue Reliability Analysis of Steel Highway Bridges)

  • 신재철;장동일;이성재;조효남
    • 전산구조공학
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    • 제1권1호
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    • pp.113-122
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    • 1988
  • 본 연구에서는 강도로교의 피로파손의 위험을 예측할 수 있는 실용적 모형을 개발하였다. 제안된 피로해석 모형은 피로신뢰성 이론과 교량의 피로수명에 영향을 미치는 여러가지 요인들을 고려하여 유도되었다. 피로신뢰성 함수는 Weibull분포로 가정하였고, Weibull의 수치계산형태는 강재의 피로수명과 변진폭재하로 인한 응력범위 등의 통계적 불확실량을 모두 포함하는 Ang-Munse의 식을 사용하였다. 피로해석모형에는 교량이용 기간중에 발생할 수 있는 일평균교통량(ADTT)의 변화, 재하이력의 변화, 진추조사의 효과 등을 고려하였다. 응력범위 주상도는 개설 교량에 대한 현장실측결과로부터 구한 랜던 응력파로부터 작도하고, 그 결과 구해지는 응력범위분포는 Beta분포로 모형화 하였다. 본 연구에서 제안한 피로해석 방법을 실제 개설 교량에 대해 적용한 결과, 제안된 피로해석모형과 수치계산을 위하여 개발된 전산프로그램은 기설 노후 강교의 피로 내하력 판정이나 잔존수명의 예측 등을 위한 실용적인 방법으로 사용될 수 있다고 생각된다.

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Spot 용접이음재의 피로수명 예측에 관한 확률적 검토(II) : 피로강도 평가법의 신뢰성 검증 (Statistical Investigateion of Fatigue Life Predictioin of the Spot Welded Lap Joint(II) ; to verity reliabilty of fatigue strength estimatioin method)

  • 손일선;배동호
    • 한국자동차공학회논문집
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    • 제7권7호
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    • pp.242-249
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    • 1999
  • Spot welding is very important and useful technology in fabrication of an automobile body structure. Because fatigue strength of the spot welding point is however considerably lower than parent metal due to stress concentration at the nugget edge, accurate stress analysis and fatigue stength evaluation of spot welded lap joint are very important to valuate the reliability and durability of automobile body structure and to establish a criterion of long life fatigue design. Many invetigators have studied so far onsystematic fatigue strength evaluation with various methods. It is however necessary to verify their reliability and abailability for practical application to fatigue design of spot welded structure, Thus,in this study, fatigue strength evaluation methods of spot welded lap joint. which are the maximum principal stress method. the fracture and availability with the Weibull probability distribution. From the results, it was found that reliability and availability withe the Weibull probaility distribution. From the results, it was found that reliability and availability of the suggest fatigue strength estimation methods methods were higher than $\Delta$P-$N_f$ relation. However, among them , reliability of the maximum pricipal stress method was the highest.

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볼브레이커시험에 의한 실리콘 다이의 표면조건에 따른 파단강도 평가 (Evaluation of Fracture Strength of Silicon Die with Surface Condition by Ball Breaker Test)

  • 변재원
    • 열처리공학회지
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    • 제26권4호
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    • pp.178-184
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    • 2013
  • The effects of thickness and surface grinding condition on the fracture strength of Si wafer with a thickness under $100{\mu}m$ were investigated. Fracture strength was measured by ball breaker test for about 330 dies (size: $4mm{\times}4mm$) per each wafer. For statistical analysis of the fracture strength, scale factor was determined from Weibull plot. Ball breaker fracture strength was observed to increase with decreasing thickness of silicon die. For the silicon dies of different surface conditions, ball breaker fracture strength was high in the order of polished, ground (#4800), and ground (#320 grit) specimen. Probabilistic fracture strength (i.e., scale factor) increased with decreasing surface roughness of silicon die.

확률계수 열화율 모형하에서 열화자료의 통계적 분석 (Statistical Analysis of Degradation Data under a Random Coefficient Rate Model)

  • 서순근;이수진;조유희
    • 품질경영학회지
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    • 제34권3호
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    • pp.19-30
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    • 2006
  • For highly reliable products, it is difficult to assess the lifetime of the products with traditional life tests. Accordingly, a recent approach is to observe the performance degradation of product during the test rather than regular failure time. This study compares performances of three methods(i.e. the approximation, analytical and numerical methods) to estimate the parameters and quantiles of the lifetime when the time-to-failure distribution follows Weibull and lognormal distributions under a random coefficient degradation rate model. Numerical experiments are also conducted to investigate the effects of model error such as measurements in a random coefficient model.

Using R Software for Reliability Data Analysis

  • Shaffer, Leslie B.;Young, Timothy M.;Guess, Frank M.;Bensmail, Halima;Leon, Ramon V.
    • International Journal of Reliability and Applications
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    • 제9권1호
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    • pp.53-70
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    • 2008
  • In this paper, we discuss the plethora of uses for the software package R, and focus specifically on its helpful applications in reliability data analyses. Examples are presented; including the R coding protocol, R code, and plots for various statistical as well as reliability analyses. We explore Kaplan-Meier estimates and maximum likelihood estimation for distributions including the Weibull. Finally, we discuss future applications of R, and usages of quantile regression in reliability.

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부품의 수명 데이터를 이용한 승강기의 신뢰성 평가 (Reliability Assessment of Elevators Using Life Data of the Components)

  • 손상훈;손혜정;김선진;양보석;윤문철
    • 동력기계공학회지
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    • 제14권6호
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    • pp.61-66
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    • 2010
  • Engineering asset management (EAM) requires the accurate assessment of current and the prediction of future asset health condition. Suitable mathematical models that are capable of predicting time-to-failure and the probability of failure in future time are essential. In general reliability models, lifetime of component and system is estimated using failure time data. This paper deals with the reliability assessment of elevators using life of main components. Especially this work is concerned with the stochastic nature of life of elevator components. First, we investigate the Weibull statistical analysis of lifetime data for the components. The final goal is to establish the mathematical model for reliability assessment. This work provides more perspectives to future research in the fields of reliability and maintainability.

The new odd-burr rayleigh distribution for wind speed characterization

  • Arik, Ibrahim;Kantar, Yeliz M.;Usta, Ilhan
    • Wind and Structures
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    • 제28권6호
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    • pp.369-380
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    • 2019
  • Statistical distributions are very useful in describing wind speed characteristics and in predicting wind power potential of a specified region. Although the Weibull distribution is the most popular one in wind energy literature, it does not seem to be able to perfectly fit all the investigated wind speed data in nature. Thus, many studies are still being conducted to find flexible distribution for modelling wind speed data. In this study, we propose a new Odd-Burr Rayleigh distribution for wind speed characterization. The Odd-Burr Rayleigh distribution with two shape parameters is flexible enough to model different shapes of wind speed data and thus it can be an alternative wind speed distribution for the assessment of wind energy potential. Therefore, suitability of the Odd-Burr Rayleigh distribution is investigated on real wind speed data taken from different regions in the South Africa. Numerical results of the conducted analysis confirm that the new Odd-Burr Rayleigh distribution is suitable for modelling most of the considered real wind speed cases and it also can be used for predicting wind power.

4점굽힘시험에 의한 실리콘 다이의 두께에 따른 파단강도 평가 (Evaluation of Flexural Strength of Silicon Die with Thickness by 4 Point Bending Test)

  • 민윤기;변재원
    • 마이크로전자및패키징학회지
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    • 제18권1호
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    • pp.15-21
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    • 2011
  • 전자기기의 고집적화를 위해 실리콘 웨이퍼의 두께가 점점 얇아지고 있으며 이로 인해 제조공정 중 균열이나 파손이 발생할 가능성이 높아지고 있다. 본 연구에서는 300 ${\mu}m$~100 ${\mu}m$ 두께의 반도체용 단결정 실리콘 웨이퍼의 파단 강도 및 파괴특성을 평가하였다. 기계적 연마를 통해 두께 (300, 200, 180, 160, 150, 100 ${\mu}m$)가 다른 실리콘 웨이퍼를 준비하였다. 하나의 웨이퍼에서 40개의 실리콘 다이(크기 : 62.5 mm${\times}$4 mm)를 얻어 4점 굽힘시험을 통해 평균 강도값을 구하였다. 강도분포의 통계적 해석을 위해 와이블 선도를 이용하여 형상인자(와이블 계수)와 크기인자(확률적 파괴강도)를 얻었다. 취성 실리콘 다이의 시편 크기(두께)효과와 파단 확률이 고려된 통계적 파단강도 값을 실리콘 다이 두께의 함수로 얻었다. 관찰된 파괴양상을 측정된 파단강도와 관련하여 고찰하였다.

Statistical Analysis of Microhardness Variations in Plasma Sprayed $Cr_3C_2-NiCr$ Coatings

  • Li, Jianfeng;Huang, jingqi;Ding, Chuanxian
    • 한국진공학회지
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    • 제7권s1호
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    • pp.171-178
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    • 1998
  • The microstructure and properties of plasma-sprayed coatings depend on a great number of spraying parameters, random factors, which lead to vibration in these spraying parameters, may in some degree influence the microstructure and properties of the coatings. Therefore, the property values appear certain distributions, and the description and comparison of the properties of plasma-sprayed coatings should be performed employing statistical analysis. In this paper, $Cr_3C_2$-Nicr coatings of different thickness were sprayed onto stainless steel using atmosphere plasma system and adopting three kinds of gun translation speeds. Then the microhardness measurements were performed on polished surface of the coatings. Forty readings were taken and statistically analyzed by calculating the characteristic values, estimating and comparing the means, and assessing whether they belonged to the Normal or Weibull Distribution. This study has found that statistical analysis could discriminate influence of spraying parameters and coating design on microhardness of the $Cr_3C_2$-Nicr coatings from random vibration, which showed that the microharness of the $Cr_3C_2$-Nicr coatings were related to gun translation speed coating thickness.

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