• Title/Summary/Keyword: Weibull Distribution Property

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Statistical Analysis of Thermal Fatigue Life for Automobile bulb (자동차용 전구의 열피로수명의 확률론적 거동)

  • 박상필;오환섭;박종찬;박철희
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 2004.04a
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    • pp.160-165
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    • 2004
  • At this research, we examined probability of light bulb's life span value and prediction on purpose to inquire out the span of repeat velocity as fracture probability by executing the fatigue test, which is considered property of Tungsten filament's thermal fatigue used as an automobile bulb. As a result we can confirm what the most suitable solution is weibull distribution and log normal distribution. Tungsten filament's span gets longer as the fatigue repeat velocity gets shorter And, repeat span is about 15%~40% shorter than sequence life span.

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A study for NHPP Software Reliability Model of the Weibull Extension Model Based on Generalized Order Statistics (일반화 통계량에 의존한 와이블 확장모형을 이용한 NHPP 소프트웨어 신뢰성 모형에 관한 연구)

  • Yang, Tae-Jin
    • The Journal of Korea Institute of Information, Electronics, and Communication Technology
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    • v.8 no.5
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    • pp.339-344
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    • 2015
  • NHPP software reliability models for failure analysis can have, in the literature, exhibit either constant, monotonic increasing or monotonic decreasing failure occurrence rates per fault. In this paper, infinite failures NHPP models that repairing software failure point in time reflects the situation, was presented for comparing property. Commonly used in the field of software reliability based on Weibull extension distribution software reliability of infinite failures was presented for comparison problem. The result is that a relatively large shape parameter was effectively. The parameters estimation using maximum likelihood estimation was conducted and Model selection was performed using the mean square error and the coefficient of determination. In this research, software developers to identify software failure property follows shape parameter, some extent be able to help is considered.

Evaluation of Mechanical Performance Considering Prolonged Length of Glass Fiber-Reinforced Composite on Structure Weakness by Thermal Stress at Secondary Barrier in Cryogenic Liquified Gas Storage (극저온 액화가스 화물창 2차방벽 구조 열 응력 취약 부 Prolonged 길이 고려 유리섬유 강화 복합재 기계적 물성 평가)

  • Yeon-Jae Jeong;Hee-Tae Kim;Jeong-Dae Kim;Jeong-Hyun Kim;Seul-Kee Kim;Jae-Myung Lee
    • Composites Research
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    • v.36 no.4
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    • pp.246-252
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    • 2023
  • A secondary barrier made of glass fiber reinforced composites has been installed infinitely using automatic bonding machine(ABM) in membrane type LNG cargo containment system (CCS). At the same time, significant thermal stress due to cryogenic heat shrinkage has occurred in the composite on the non-bonding area between the adhesive fixation at both ends. There have been studies from the perspective of structural safety evaluation taking this into account, but none that have analyzed mechanical property taking an prolonged length into account. In this study, 2-parameter Weibull distribution statistical analysis was used to standardize reliable mechanical property for actual length, taking into account the composite's brittle fracture of ceramic material with wide fracture strength dispersion. Related experimental data were obtained by performing uniaxial tensile tests at specific temperatures below cryogenic condition considering LNG environment. As a result, the mechanical strength increased about 1.5 times compared to -20℃ at -70℃ and initial non-linear behavior of fiber stretched was suppressed. As the temperature decreased until the cryogenic, the mechanical strength continued to increase due to cold brittleness. The suggested mechanical property in this study would be employed to secure reliable analysis support material property when assessing the safety of secondary barrier's structures.

Fatigue Analysis of Pavement Concrete by Split Tension Fatigue Test (쪼갬인장피로시험을 이용한 포장용콘크리트의 피로해석)

  • 전성일;원치문;이주형;홍창우;윤경구
    • Proceedings of the Korea Concrete Institute Conference
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    • 2002.05a
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    • pp.1003-1008
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    • 2002
  • The purpose of this research was to obtain fatigue property of pavement concrete by split tension fatigue test. The specimens of pavement concrete were fabricated using the concrete at jop site. The fatigue tests of split tension were performed by 4 stress levels(90%, 80%, 70%, 60%) and 3 stress ratio(0.1, 0.3, 0.5). From this research, the S-N relationship, S-N-P relationship was derived and Weibull probability density functions was plotted using the distribution parameters.

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Area effect of breakdown voltage in $SF_6$ gas ($SF_6$가스중 절연파괴전압에 미치는 전극의 면적효과)

  • Seo, Kil-Soo
    • Proceedings of the KIEE Conference
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    • 1996.07c
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    • pp.1901-1903
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    • 1996
  • In This paper, to understand statistical properties of breakdown voltage, the experiment is performed on four gaps of different electrode area, ranging from $17.44[cm^2]$ to $1809.5[cm^2]$, in $SF_6$ gas. Statictcial property of breakdown is confirmed Weibull distribution and as area of electrode is increased, breakdown voltage is decreased and converged constant value $E_0$.

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Endurance Evaluation and Fatigue Property fo Axle Housing (Axle Housing의 내구성 판단과 피로특성)

  • Byeon, Hui-Mun;Lee, Sun-Bok
    • 한국기계연구소 소보
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    • s.13
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    • pp.3-13
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    • 1984
  • Fatigue failure of axle housing could cause many injuries and much financial loss. This challenges the engineer to improve design decisions involving fatigue. Endurance evaluation of axle housing is great interest to auto-mobile manufacturers for the sake of safety and reliability. Axle housing is subjected to gross vehicle weight(G.V.W)as mean load and alternating load. Theoretical design diagram involving mean and alternating stresses is used for the evaluation of axle housing fatigue endurance with the equivalent stress of fatigue critical area on the axle housing. Four point bending fatigue tests on axle housing with constant amplitude loading at approximately R=0 were performed with 50 ton servohydraulic strucural fatigue testing machine developed at KIMM. Specimens were made with the same material STKM 13B as the axle housing and tested to obtain S_N data. Five specimens of STKM 13B were tested at 253.61 MPa and weibull distribution was obtained at the same stress level. Material data and structural data were compares and fatigue stress property factor and fatigue life property factor were obtained.

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Effect of Spatial Distribution of Material Properties on its Experimental Estimation (재질의 공간적 변동이 재료강도시험결과에 미치는 영향)

  • Kim, S.J.
    • Journal of Power System Engineering
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    • v.4 no.2
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    • pp.40-45
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    • 2000
  • Some engineering materials are often known to have considerable spatial variation in their resisting strength and other properties. The objective of this study is to investigate the averaging effect and the applicability of extremal statistic for the statistical size effect. In the present study, it is assumed that the material property is a stationary random process in space. The theoretical autocorrelation function of the material strength are discussed for several correlation lengths. And, in order to investigate the statistical size effect, the material properties was simulated by using the non-Gaussian random process method. The material properties were plotted on the Weibull probability papers. The main results are summarized as follows: The autocorrelation function of the material properties are almost independent of the averaging length. The variance decreases with increasing the averaging length. As correlation length is smaller, the slope is larger. And also, it was found that Weibull statistics based on the weakest-link model could not explain the spatial variation of material properties with respect to the size effect satisfactory.

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Average run length calculation of the EWMA control chart using the first passage time of the Markov process (Markov 과정의 최초통과시간을 이용한 지수가중 이동평균 관리도의 평균런길이의 계산)

  • Park, Changsoon
    • The Korean Journal of Applied Statistics
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    • v.30 no.1
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    • pp.1-12
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    • 2017
  • Many stochastic processes satisfy the Markov property exactly or at least approximately. An interested property in the Markov process is the first passage time. Since the sequential analysis by Wald, the approximation of the first passage time has been studied extensively. The Statistical computing technique due to the development of high-speed computers made it possible to calculate the values of the properties close to the true ones. This article introduces an exponentially weighted moving average (EWMA) control chart as an example of the Markov process, and studied how to calculate the average run length with problematic issues that should be cautioned for correct calculation. The results derived for approximation of the first passage time in this research can be applied to any of the Markov processes. Especially the approximation of the continuous time Markov process to the discrete time Markov chain is useful for the studies of the properties of the stochastic process and makes computational approaches easy.

A Study of the effective approach method for median control chart of non-normally distributed process (비정규분포공정에서 계량치관리를 위한 메디안 특수 관리도의 모형설계와 그 적용에 관한 실용에 연구)

  • 신용백
    • Journal of the Korean Professional Engineers Association
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    • v.21 no.4
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    • pp.19-32
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    • 1988
  • Whereas is non-symmetrical distribution manufacturing process the traditional X-chart by Shewhart is not plotted relatively on the central line but plotted on the skew of upper-hand side or lower-hand side. That is to say, for the purpose of producing either upper-specification-oriented items or lower-specification-oriented items, and when we carry out tighter control so as to have them pass only its specifications, the distribution shape naturally has a non-normal distribution. In the Shewhart X-chart, which is the most widely used one in Korea, such skewed distributions make tile plots to be inclined below or above the central line or outside the control limits although no assignable causes can be found. To overcome such short comings is non-normally distributed processes, a distribution-free type of confidence interval can be used, which should be haled on order statistics. This thesis is concerned with the design of control chart based on a sample median which is easy to use in practical situation and therefore properties for non-normal distributions, such as Gamma, Beta, Lognormal, Weibull, Pareto, and Truncated-normal distributions, may be easily analyzed. To enhance this improvement, I proved the property of practical applications of control chart method by comparing and analyzing the case studies of practical application of special purpose control chart method, and also by introducing the new designed median control chart.

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Fatigue Analysis of Pavement Concrete by Flexural Fatigue Test (휨피로시험을 이용한 포장용 콘크리트의 피로해석)

  • 최창식;김동호;김성환;이주형;윤경구
    • Proceedings of the Korea Concrete Institute Conference
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    • 2002.10a
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    • pp.401-406
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    • 2002
  • The purpose of this research was to obtain fatigue property of pavement concrete by flexural fatigue test. The size of specimen used in fatigue tests was 10$\times$10$\times$46cm. The specimens of pavement concrete were fabricated using the concrete at job site. The fatigue tests were performed by applying into a constant amplitude loading. The flexural fatigue tests were performed by stress levels of 90%, 80%, 70% and 60%, and stress ratio of 0.1. From this research, the S-N relationship, S-N-P relationship were derived and Weibull probability density functions was plotted using the distribution parameters.

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