• Title/Summary/Keyword: Weibull Analysis

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Analysis of Field Reliability Data with Supplementary Information on Degradation Data and Covariates (열화자료와 설명변수 정보를 고려한 사용현장 신뢰성 자료의 분석)

  • 서순근;하천수
    • Journal of Applied Reliability
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    • v.2 no.2
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    • pp.63-83
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    • 2002
  • Degradation data can provide more reliability information than traditional failure-time data, especially products with few or no failures. This paper is concerned with a method of estimating lifetime distribution from field data with supplementary information on degradation data and covariates. When a distribution of degradation rate obtained by follow-up study for a portion of products that survive after-warranty follows a reciprocal-Weibull or lognormal distribution. A time-to-failure distribution of the product follows Weibull or lognormal distribution, respectively. A method of estimating lifetime parameters for this kind of data and their asymptotic properties are studied. Effects of after-warranty report probability, follow-up rate, and proportion of degradation data on pseudo maximum likelihood estimators of these parameters are investigated.

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An Analysis of Insulating Reliability in Polyethylene for High Frequency Molding Materials (고주파 성형 재료용 폴리에칠렌의 절연 신뢰도 분석)

  • Park, Geon-Ho;Kim, Ki-Joon;Wang, Jong-Bae;Shin, Chul-Ki;Kim, Jin-Sa;Lee, Joon-Ung
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2000.10a
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    • pp.64-67
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    • 2000
  • In this study, the DC dielectric breakdown of polyethylene used for clothing material of cable was experimented and then its data were simulated by Weibull distribution probability. The dielectric breakdown characteristics in polyethylene were examined and various effects of the DC dielectric breakdown on polyethylene were also discussed.

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Analysis of the reliability test data by log.normal probability paper (대수정규확률지를 이용한 수명시험 데이타의 해석방법)

  • 서호복
    • Journal of the korean Society of Automotive Engineers
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    • v.6 no.1
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    • pp.27-35
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    • 1984
  • 측정치의 데이터를 그림으로 나타내면 "종을 거꾸로 엎어놓은 모양(Bell Shaped Curve)"의 정 규분포를 이루는 것은 잘 알려진 사실이다. 그러나 수명시험데이터의 경우는 분포의 형이 찌 그러지게 된다. 수명분포는 Weibull분포에 따르므로 Weibull분포에 의한 해석을 하여야 하는 것이 원칙이나 대수정규분포로 근사시켜서 해석을 하여도 실용상 큰 지장은 없다. 수명시험의 경우는 파괴시험이며 장시간의 시험을 요하므로 적은 시료를 시험하는 것이 일반적이다. 특히 자동차공업에 있어서 수명시험은 중요한 품질특성의 하나이며 자동차의 조립에 쓰이는 수만개 부품의 수명을 예측하는 것은 매우 중요한 일이다. 따라서 이 적은 시료에서 얻어낸 데이터를 이용하여 "어떻게 수명의 예측을 올바르게 할 것인가\ulcorner" 하는 문제, 즉 신뢰성의 추정(Reliability Inference)과 로트의 판정이 중요한 문제인 것이다. 이러한 문제의 한 가지 방법으로서 외국에서 이미 널리 활용되고 있는 대수정규확율지를 이용한 수명데이터의 해석 방법을 소개하고자 한다.이터의 해석 방법을 소개하고자 한다.

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An Accelerated Life Test for Burnout of Tungsten Filament of Incandescent Lamp (텅스텐 백열전구의 필라멘트 단선에 대한 가속수명시험)

  • 이재국;김진우;신재철;김명수
    • Proceedings of the Korean Reliability Society Conference
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    • 2004.07a
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    • pp.129-137
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    • 2004
  • This paper presents an accelerated life test for burnout of tungsten filament of incandescent lamp. From failure analyses of field samples, it is shown that their root causes are local heating or hot sports in the filament caused by tungsten evaporation and wire sag. Finite element analysis is performed to evaluate the effect of vibration and impact for burnout, but any points of stress concentration or structural weakness are not found in the sample. To estimate the burnout life of lamp, an accelerated life test is planned by using quality function deployment and fractional factorial design, where voltage, vibration, and temperature are selected as accelerating variables. We assumed that Weibull lifetime distribution and a generalized linear model of life-stress relationship hold through goodness of fit test and test for common shape parameter of the distribution. Using accelerated life testing software, we estimated the common shape parameter of Weibull distribution, life-stress relationship, and accelerating factor.

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Prediction of Insulation Reliability and Breakdown Life in Epoxy Composites (에폭시 복합체의 절연신뢰도 및 파괴수명 예측)

  • 신철기;박건호;왕종배;김성역;이준웅
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 1996.11a
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    • pp.260-264
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    • 1996
  • In this study, the dieiectric breakdown of epoxy composites used for transformers was experimented and then its data were simulated by Weibull distribution probability . As a result. first of all, speaking of dielectric breakdown properties, the more hardener increased the stronger breakdown strength at low temperature, and the breakdown strength of specimens because it is believed that the adding filler farms interface and charge is accumulated in it, therefore the molecular motility is raised, the electric field is concentrated, and the acceleration of electron and the growth of electron avalanche are early accomplished. In the case of filled specimens with treating silane, the breakdown strength become much higher since the suggests that silane coupling agent improves interfacial combination and relays electric field concentration. Finally, from the analysis 7f weibull distribution. it was confirmed that as the allowed breakdown probability was given by 0.11[%].

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Kinetics of Athermal Martensitic Transformation in Yttria Doped Zirconia

  • Pee, Jae-Hwan;Choi, Eui-Seok;Hayakawa, Motozo
    • Journal of the Korean Ceramic Society
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    • v.42 no.11 s.282
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    • pp.718-721
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    • 2005
  • The high temperature tetragonal phase of zirconia containing $1.40{\~}1.60\;mol\%$ of yttria can be fully retained at room temperature by rapid cooling. The metastable tetragonal phase transforms into the monoclinic phase athermally upon subzero cooling. The transformation exhibited an athermal burst transformation. The effects of yttria content and grain size on the athermal martensitic transformation were studied in detail. The burst temperature linearly decreased with increasing yttria content or decreasing grain size. To consider the distribution of martensite nuclei, the Weibull modulus of the athermal martensitic transformation was evaluated from the distribution of the burst transformation temperature. From the Weibull analysis, the distribution of embryos appears to be more homogeneous than that of the defects responsible for the fracture of similar material.

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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    • v.9 no.1
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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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Reliability Assessment of Elevators Using Life Data of the Components (부품의 수명 데이터를 이용한 승강기의 신뢰성 평가)

  • Sohn, S.H.;Sohn, H.J.;Kim, S.J.;Yang, B.S.;Yoon, M.C.
    • Journal of Power System Engineering
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    • v.14 no.6
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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.

A study on the production process and wear life distributions of brake pads for passenger cars (승용차용 브레이크 패드의 공정분석 및 수명분포 탐색)

  • Woong, Hong-Yeon
    • Journal of the Korean Data and Information Science Society
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    • v.20 no.3
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    • pp.485-492
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    • 2009
  • In this paper, we studied process capability analysis for brake-pad manufacturing system and considered Weibull, normal and logistic distributions for density estimation of wear life of brake pads for a passenger car with a real data. These three distributions are seem to work well. Estimated percentiles of brake pads can be used to evaluate the design criteria and customers' need for brake pads.

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Determining the Optimum Maintenance Period of the Steel Making Equipment Having Multiple Failure Types (다수의 고장유형을 갖는 제철설비의 최적 정비주기 산출)

  • Song, Hong-Jun;Jun, Chi-Hyuck
    • IE interfaces
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    • v.16 no.1
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    • pp.27-33
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    • 2003
  • The maintenance cost in K Steelworks has been continuously increased in proportion to the production cost. However, there seems to be a possibility of reducing cost through the optimization of maintenance actions. The failure types of the equipment in steelworks ate various with different failure cost. Thus the failure rate and cost of each type of failures should be considered simultaneously when the optimum maintenance period is to be determined. It is considered that the equipment undergoes periodic replacement and a specified number of incomplete preventive maintenance actions are performed during a replacement period. Assuming that the time to failure follows a Weibull distribution, the parameters of the failure rate are estimated using the maximum likelihood estimation. The optimal replacement period is determined to minimize the average cost per unit time. As the result of analysis it is suggested that the existing maintenance period for a hot-rolling equipment can be extended significantly.