• Title/Summary/Keyword: Weibull Distribution Function

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Consideration on Electrical Characteristics and Breakdown Lifetimes in 22.9[KV] Underground Distribution Power Cables (22.9[KV] 지중배전용 전력케이블의 전기적 특성과 파괴수명 고찰)

  • Kim, Choong-Bae;Lee, Jung-Bin;Lim, Jang-Seob;Han, Jae-Hong;Kim, Chul-Woon;Kim, Tae-Sung
    • Proceedings of the KIEE Conference
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    • 1998.11c
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    • pp.916-918
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    • 1998
  • Degradation diagnosis of XLPE insulated URD cables was accomplished through out new method which was to be analyzed by non-electrical experiments and synthesized by degradation points. To supplement this method, It was also carried out using several electrical analyses PD-q increased generally in proportion to the applied voltage and showed no uniform patterns in relation to the thickness of insulator. Leakage current was unequal according to the thickness of insulator and its range was from 20[nA] to 50[nA]. $Tan{\delta}$ had commonly a different tendency by means of temperature and frequency and also appeared higher at the outer part rather than inner part of insulator. Breakdown voltages were measured and breakdown lifetimes were predicted appling for Weibull distribution function. As a result, breakdown lifetime in failure cables was longer up to three times as much as general cables.

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Fatigue Properties of Rail Steel Under Constant Amplitude Loading and Variable Amplitude Loading (일정 및 변동하중하의 레일강의 피로특성)

  • Kim, Cheol-Su;Kim, Jeong-Gyu
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.25 no.4
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    • pp.654-661
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    • 2001
  • In this study, fatigue growth behavior of the transverse crack, which was the most dangerous damage among the various types of rail defects, was investigated using the notched keyhole specimen under constant amplitude loadings. Fatigue limit of smooth specimen in rail steel at R=0 was 110MPa, and the fatigue crack initiation life in the region of the low stress amplitude (ie. long life) occupied the major portion of the total fatigue life. The fatigue strength under variable amplitude loading was converted to the equivalent fatigue strength based upon. Miners rule, which was estimated approximately 9% lower than that under constant amplitude loading. Also, in the low ΔK(sub)rms region ($\leq$21MPa√m), fatigue crack growth rate (da/dN) under constant amplitude loading was higher than that under variable amplitude loading, whereas the tendency was reversed in the high ΔK(sub)rms region. It is believed that this behavior is due to the transition of fracture appearance.

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.

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.

Accelerated Life Test and Analysis of Track Drive Unit for an Excavator (주행 구동 유니트의 가속 수명 시험 및 분석)

  • Lee Y.B.;Park J.H.
    • Transactions of The Korea Fluid Power Systems Society
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    • v.2 no.2
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    • pp.1-7
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    • 2005
  • For the reliability evaluation of the track drive unit(TDU), firstly, we analyzed the major failure modes through FMEA(failure mode & effects analysis), FTA(failure tree analysis), and 2-stage QFD(quality function deployment), and then quantitatively determined the priority order of test items. The Minitab analysis was also performed for prediction of life distribution and parameters of TDU by use of field failure data collected from 430 excavators for two years. In addition, we converted the fluctuation load in field conditions into the equivalent load, and for evaluation of the accelerated lift by the cumulative fatigues, the equivalent load is again divided into the fluctuation load by reference of test time. And then, by use of the test method in this paper, the acceleration factor(AF) of needle bearing inside planetary gear which is the most weakly designed part of TDU is achieved as 5.3. This paper presents the quantitative selection method of test items for reliability evaluation, the determination method of the accelerated life test time, and the method of non-failure test time based on a few of samples. And, we proved the propriety of the proposed methods by experiments using a TDU for a 30 ton excavator.

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The Probabilistic Analysis of Fatigue Damage Accumulation Behavior Using Markov Chain Model in CFRP Composites (Markov Chain Model을 이용한 CFRP 복합재료의 피로손상누적거동에 대한 확률적 해석)

  • Kim, Do-Sik;Kim, In-Bai;Kim, Jung-Kyu
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.20 no.4
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    • pp.1241-1250
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    • 1996
  • The characteristics of fatigue cumulative damage and fatigue life of 8-harness satin woven CFRP composites with a circular hole under constant amplitude and 2-level block loading are estimated by Stochastic Makov chain model. It is found in this study that the fatigue damage accumulation behavior is very random and the fatigue damage is accumulated as two regions under constant amplitude fatigue loading. In constant amplitude fatigue loading the predicted mean number of cycles to a specified damage state by Markov chain model shows a good agreement with the test result. The predicted distribution of the fatigue cumulative damage by Markov chain model is similar to the test result. The fatigue life predictions under 2-level block loading by Markov chain model revised are good fitted to the test result more than by 2-parameter Weibull distribution function using percent failure rule.

Influence of overload on the fatigue crack growth retardation and the statistical variation (강의 피로균열지연거동에 미치는 과대하중의 영향과 통계적 변동에 관한 연구)

  • 김선진;남기우;김종훈;이창용;박은희;서상하
    • Journal of Ocean Engineering and Technology
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    • v.11 no.3
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    • pp.76-88
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    • 1997
  • Constant .DELTA.K fatigue crack growth rate experiments were performed by applying an intermediate single and multiple overload for structural steel, SM45C. The purpose of the present study is to investigate the influence of multiple overloads at various stress intensity factor ranges and the effect of statistical variability of crack retardation behavior. The normalized delayed load cycle, delayed crack length and the minimum crack growth rate are increased with increasing baseline stress intensity factor range when the overload ratio and the number of overload application were constant. The crack retardation under low baseline stress intensity factor range increases by increasing the number of overload application, but the minimum crack growth rate decreases by increasing the number of overload application. A strong linear correlation exists between the minimum crack growth rate and the number of overload applications. And, it was observed that the variability in the crack growth retardation behavior are presented, the probability distribution functions of delayed load cycle, delayed crack length and crack growth life are 2-parameter Weibull. The coefficient of variation of delayed load cycle and delayed crack length for the number of 10 overload applications data are 14.8 and 9.2%, respectively.

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Analysis of The Partial Discharge Pattern in XLPE Insulator due to Variation of Statistical Distribution (분포통계변화에 따른 XLPE 절연체의 부분방전 패턴해석)

  • Kim, Tag-Yong;Lee, Hyuk-Jin;Cho, Kyung-Soon;Shin, Hyun-Taek;Yeon, Kyu-Ho;Lee, Chung-Ho;Hong, Jin-Woong
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2006.06a
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    • pp.83-84
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    • 2006
  • In this paper, we examine discharge characteristics of cross-linked polyethylene (since then; XLPE) according to thickness. Voltage was applied to power frequency by step method, and calibration of discharge was set to 50[pC] (slope=8.333). After the voltage was applied, for 10 [sec] (600 [cycle]), occurring discharge and number were detected. Determine of input pattern is difficult because discharge pattern is irregular. Therefore we investigated pattern using the K-means Analysis and Weibull function. Also we investigated variation of centroid and cluster.

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Estimation for the Distribution of Creep Crack Growth Coefficients by Probabilistic Assessment (확률적 방법에 의한 크리프 균열성장 계수의 분포 추정)

  • Lee, Sang-Ho;Yoon, Kee-Bong;Choe, Byung-Hak;Min, Doo-Sik;Ahn, Jong Seok;Lee, Gil Jae;Kim, Sun-Hwa
    • Korean Journal of Metals and Materials
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    • v.48 no.9
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    • pp.791-797
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    • 2010
  • The creep crack growth rate (da/dt) of the Cr-Mo steels tested by pre-crack and the voltage (or resistance) variables were related into fracture parameter (Ct), crack growth coefficient (H), and an exponent (q) in the parts of Base, weld and HAZ. The fracture parameter (Ct) has various variables relating to the specimen and crack shape, applied stress, and creep strain curve. The H and q was inferred by OLS regression (ordinary least square method), and the H values were solved in statistics and probability assessment, which were attained fromPDF's distributions (probability density function). The HAZ part has the highest value of q by OLS regression and the widest distribution of H by PDF of WEIBULL, which means that the crack sensitivity of HAZ should be cautioned against the creep crack growth and failure.

Maintenance Policy Based on Cost and Downtime Following the Expiration of Combination Warranty (혼합보증이 종료된 이후의 비용과 비가동시간에 근거한 보전정책)

  • Jung, Ki-Mun
    • Communications for Statistical Applications and Methods
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    • v.15 no.6
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    • pp.909-923
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    • 2008
  • This paper considers the replacement model and the preventive maintenance model following the expiration of combination warranty for a repairable system. If the system fails after the combination warranty is expired, then it is minimally repaired at each failure. The criterion used to determine the optimal replacement policy and the optimal preventive maintenance policy is the overall value function based on the expected cost rate per unit time and the expected downtime per unit time. The numerical examples are presented for illustrative purpose when the failure time follows a Weibull distribution.