• Title/Summary/Keyword: 와이블 함수

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Strength Evaluation and Eailure Analysis of Unidirectional Composites Using Monte-Carlo Simulation (몬테카를로 시뮬레이션을 이용한 일방향 복합재의 강도평가 및 파손 해석)

  • Kim, Jeong-Gyu;Park, Sang-Seon;Kim, Cheol-Su;Kim, Il-Hyeon
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.24 no.12
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    • pp.2917-2925
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    • 2000
  • Tensile strength and failure process of composite materials depend on the variation in fiber strength, matrix properties and fiber-matrix interfacial shear strength. A Monte-Carlo simulation considering variation in these factors has been widely used to analyze such a complicated phenomenon as a strength and simulated the failure process of unidirectional composites. In this study, a Monte Carlo simulation using 2-D and 3-D(square and hexagonal array) model was performed on unidirectional graphite/epoxy and glass/polyester composites. The results simulated by using 3-D hexagonal array model have a good agreement with the experimental data which were tensile strength and failure process of unidirectional composites.

Optimal Thresholds from Non-Normal Mixture (비정규 혼합분포에서의 최적분류점)

  • Hong, Chong-Sun;Joo, Jae-Seon
    • The Korean Journal of Applied Statistics
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    • v.23 no.5
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    • pp.943-953
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    • 2010
  • From a mixture distribution of the score random variable for credit evaluation, there are many methods of estimating optimal thresholds. Most the research news is based on the assumption of normal distributions. In this paper, we extend non-normal distributions such as Weibull, Logistic and Gamma distributions to estimate an optimal threshold by using a hypotheses test method and other methods maximizing the total accuracy and the true rate. The type I and II errors are obtained and compared with their sums. Finally we discuss their e ciency and derive conclusions for non-normal distributions.

A Weibull Statistical Analysis of High Thermal Resistance Insulation Material through AC Breakdown Characteristic of Mckewon Electrode (Mckewon 전극 AC절연파괴특성 시험을 통한 고내열성 절연재료의 Weibiull 통계분석)

  • Lim, Jang-Seoub;Kim, Su-Hwan;Lee, Seung-Won;Kim, Yong-Hyun;Lee, Byung-Sung;Jung, Yeon-Ha
    • Proceedings of the KIEE Conference
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    • 2015.07a
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    • pp.1184-1184
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    • 2015
  • 현재 XLPE 절연 케이블의 상시 운전 온도는 $90^{\circ}C$나 개발된 고내열성 절연재료의 상시운전온도는 $110^{\circ}C$로 향상되었다. 개발된 고내열성 절연재료는 XLPE 절연 케이블의 상시 운전온도($90^{\circ}C$)와 비상시운전온도($110^{\circ}C$), 고내열성 절연재료의 상시운전온도($110{\circ}C$), 비상시 운전온도($130{\circ}C$)을 바탕으로 하여 열 열화 온도와 기간이 설정되었다. 열 열화는 자연순환 건조기에서 설정된 온도와 기간 동안 수행되었고, 열 열화된 고내열성 절연재료는 Mckewon전극을 이용하여 AC파괴 시험이 진행 되었다. 파괴시험데이터는 와이블 분포함수를 이용하여 통계적으로 분석되었다.

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A Proposal of Parameter Determination Method in the Residual Strength Degradation Model for the Prediction of Fatigue Life (I) (피로수명예측을 위한 잔류강도 저하모델의 파라미터 결정법 제안(I))

  • Kim, Sang-Tae;Jang, Seong-Su
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.25 no.5
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    • pp.874-882
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    • 2001
  • The static and fatigue tests have been carried out to verify the validity of a generalized residual strength degradation model. And a new method of parameter determination in the model is verified experimentally to account for the effect of tension-compression fatigue loading of spheroidal graphite cast iron. It is shown that the correlation between the experimental results and the theoretical prediction on the statistical distribution of fatigue life by using the proposed method is very reasonable. Furthermore, it is found that the correlation between the theoretical prediction and the experimental results of fatigue life in case of tension-tension fatigue data in composite material appears to be reasonable. Therefore, the proposed method is more adjustable in the determination of the parameter than maximum likelihood method and minimization technique.

The Fatigue Cumulative Damage and Life Prediction of GFRP under Random Loading (랜덤하중하의 GFRP의 피로누적손상거동과 피로수명예측)

  • Kim, Jeong-Gyu;Sim, Dong-Seok
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.20 no.12
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    • pp.3892-3898
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    • 1996
  • In this study, the prediction of the fatigue life as well as the extimation of the characteristics of fatigue cumulative damage on GFRP under random loading were performed. The constant amplitude tests and the ramdom loading test were carried on notched GFRP specimens with a circular hole. Random waves were generated with a micro-computer and had wide band spectra. Since it is useful that the prediction of fatigue life ot the given load sequences is based on S-N curves under constant amplitude loading, the estimation of equivalent stress is done on every random waves. The equivalent stress wasat first estimated by Miner's rule and then by the proposed model which was based on Hashin-Rotem's comulative damage theory regarding nonlinear fatigue cumulative damage behavior. The fatigue lives were predicted from each equivalent stress evaluated. And each predicted fatigue llife was compared with experimental results. The number of cycles of random loads were counted by mean-cross counting method. The reuslts showed that the fatigue life predicted by proposed model was correlated well with the experimental results in comparison with Miner's model.

On the Statistical Properties of the Parameters B and q in Creep Crack Growth Law, da/dt=B(C*)q, in the Case of Mod. 9Cr-1Mo Steel (Mod. 9Cr-1Mo강의 크리프 균열 성장 법칙의 파라메터 B와 q의 통계적 성질에 관한 연구)

  • Kim, Seon-Jin;Park, Jae-Young;Kim, Woo-Gon
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.35 no.3
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    • pp.251-257
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    • 2011
  • This paper deals with the statistical properties of parameters B and q in the creep crack growth rate (CCGR) law, da/dt=B$(C^*)^q$, in Mod. 9Cr-1Mo (ASME Gr.91) steel which is considered a candidate materials for fabricating next generation nuclear reactors. The CCGR data were obtained by creep crack growth (CCG) tests performed on 1/2-inch compact tension (CT) specimens under an applied load of 5000N at a temperature of $600^{\circ}C$. The CCG behavior was analyzed statistically using the empirical equation between CCGR, da/dt and the creep fracture mechanics parameter, $C^*$. The B and q values were determined for each specimen by the least-squares fitting method. The probability distribution functions for B and q were investigated using normal, log-normal, and Weibull distributions. As far as this study is considered, it can be appeared that B and q followed the log-normal and Weibull distributions. Moreover, a strong positive linear correlation was found between B and q.

A Statistical Analysis on Fatigue Life Distribution in Spheroidal Graphite Cast Iron (구상흑연주철의 피로수명분포에 대한 통계적 해석)

  • Jang, Seong-Su;Kim, Sang-Tae
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.24 no.9 s.180
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    • pp.2353-2360
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    • 2000
  • Statistical fatigue properties of metallic materials are increasingly required for reliability design purpose. In this study, static and fatigue tests were conducted and the normal, log-normal, two -parameter Weibull distributions at the 5% significance level are compared using the Kolmogorov-Smirnov goodness-of-fit test. Parameter estimation were compared with experimental results using the maximum likelihood method and least square method. It is found that two-parameter Weibull distribution and maximum likelihood method provide a good fit for static and fatigue life data. Therefore, it is applicable to the static and fatigue life analysis of the spheroidal graphite cast iron. The P-S-N curves were evaluated using log-normal distribution, which showed fatigue life behavior very well.

Optimal Replacement Policy for a Repairable System with Combination Warranty (혼합보증이 있는 수리 가능한 시스템에 대한 최적의 교체정책)

  • 정기문
    • The Korean Journal of Applied Statistics
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    • v.15 no.1
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    • pp.107-117
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    • 2002
  • In this paper we present the optimal replacement policies following the expiration of combination warranty. We consider two types of combination warranty policies: renewing warranty and non-renewing warranty. The criterion used to determine the optimal replacement period is the expected cost rate per unit time from the user'perspective. The optimal maintenance period following the expiration of combination warranty is obtained. Some numerical examples are presented for illustrative purpose.

Wind energy assessment at complex terrain using mixture probability distribution (혼합확률분포를 이용한 복잡지형의 풍력자원 평가)

  • Song, Ho-Sung;Kwon, Soon-Duck
    • Journal of the Korean Solar Energy Society
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    • v.33 no.2
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    • pp.18-27
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    • 2013
  • This paper presents a method for assessing the wind energy potential at complex terrain using probability distribution. And the proper probability models of the parameters estimating the wind energy are presented. Finally a mixture-Weibull determined by numerical methods procedure are proposed to assess the probability distribution of the energy potential at a site. The developed method is applied to the Kwanjungchun Bridge and compared with wind records which the neighboring weather station.

A Statistical Study on the Fatigue Behaviors of Nitro-Carburized SCM415 (침탄질화 처리된 SCM415재의 피로거동에 대한 통계적 연구)

  • Song, Sam-Hong;Lee, Sang-Hoon;Lim, Se-Hyuck
    • Journal of the Korean Society for Precision Engineering
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    • v.14 no.5
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    • pp.128-133
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    • 1997
  • Due to their high strength and good wear resistance, nitro-carburizing materials have been used for many machine components. However, the nitro-carburizing materials are found to have one disadvantage ; that is, their strength and fatigue life show larger scatter than those of non-heated metals. In this paper, therfore, the statistical chracteristics of non-heated and nitro-carburized specimens for SCM415 are investi- gated under two different of stress levels 1.15 .sigma. /sub .omega. / .leq. / .sigma. / sub .alpha. / .leq. / 1.25 .sigma. /sub .omega. /. Seven specimens at each stress level are tested by using rotating bending fatigue tester. The relation between a crack length and fatigue cycles can be arranged for Weibull distribution, and S-N curve using 95% reliability function is obtalined for nitro-carburized specimen.

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