• 제목/요약/키워드: Weibull coefficient

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

  • 송삼홍;이상훈;임세혁
    • 한국정밀공학회지
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    • 제14권5호
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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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155mm 추진장약 포구속도의 확률분포 특성 연구 (A Study on Statistical Distribution of Muzzle Velocity of 155mm Propelling Charge)

  • 박성호;박노석;최병두;김재훈
    • 한국추진공학회:학술대회논문집
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    • 한국추진공학회 2009년도 제33회 추계학술대회논문집
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    • pp.339-343
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    • 2009
  • 본 논문에서 155mm 자주포 K9에 사용되는 추진장약 K676의 포구속도 확률분포에 관하여 분석하였다. K676 추진장약의 로트별 수락시험으로 얻어진 포구속도 자료를 분석하였으며 각 시험탄의 포구속도는 기준탄의 사격결과 값으로 보정하였다. 최근까지 수행된 사격시험으로 얻어진 모든 시험값에 대하여 적합도 검정을 하였으며, 정규분포, 2모수 와이블분포 및 3모수 와이블분포 중 정규분포가 가장 적합한 확률분포임을 확인하였고 와이블분포도 충분히 활용할 만하다. 변동계수로부터 추진장약의 양산능력이 균일하게 유지되고 있음을 알 수 있다.

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확률계수 열화율 모형하에서 판정가속을 도입한 가속열화시험의 설계 (Design of Accelerated Degradation Test with Tightened Critical Values under Random Coefficient Degradation Rate Model)

  • 조유희;서순근
    • 대한산업공학회지
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    • 제34권1호
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    • pp.23-31
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    • 2008
  • This paper presents accelerated degradation test plans considering adoption of tightened critical values. Under arandom coefficient degradation rate and log-linear acceleration models, the asymptotic variance of an estimatorfor a lifetime quantile at the use condition as the optimization criterion is derived where the degradation ratefollows a lognormal and Reciprocal Weibull distributions, respectively and then the low stress level andproportions ofunits allocated to each stress level are determined. We also show that the developed test plans canbe applied to the multiplicative model with measurement error.

유연한 와이블 확장분포의 형상모수를 이용한 NHPP 소프트웨어 신뢰성 모형에 관한 비교연구 (A Comparative Study for NHPP Software Reliability Model based on the Shape Parameter of Flexible Weibull Extension Distribution)

  • 김희철;신현철
    • 한국정보전자통신기술학회논문지
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    • 제9권2호
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    • pp.141-147
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    • 2016
  • 소프트웨어 고장분석을 위한 비동질적인 포아송과정에서 결함당 고장발생률이 상수이거나, 단조 증가 또는 단조 감소하는 패턴을 가질 수 있다. 본 논문에서는 수리시점에서도 고장이 발생할 상황을 반영하는 무한고장 NHPP 모형들을 비교 제시하였다. 소프트웨어 신뢰성분야에서 많이 사용되는 유연한 와이블 확장분포에 근거한 무한고장 소프트웨어 신뢰성모형에 대한 비교문제를 제시하였다. 그 결과 형상모수가 비교적 작은 경우가 효율적으로 나타났다. 그리고 모수 추정법은 최우추정법을 이용하였고 모형선택은 평균제곱오차와 결정계수를 이용하였다. 이 연구를 통하여 소프트웨어 개발자들은 형상모수에 따른 소프트웨어 고장현상을 파악하는데 어느 정도 도움을 줄 수 있을 것으로 사료된다.

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

  • 양태진
    • 한국정보전자통신기술학회논문지
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    • 제8권5호
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    • pp.339-344
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    • 2015
  • 소프트웨어 고장분석을 위한 비동질적인 포아송과정에서 결함당 고장발생률이 상수이거나, 단조 증가 또는 단조 감소하는 패턴을 가질 수 있다. 본 논문에서는 수리시점에서도 고장이 발생할 상황을 반영하는 무한고장 NHPP 모형들을 비교 제시하였다. 소프트웨어 신뢰성분야에서 많이 사용되는 와이블 확장분포에 근거한 무한고장 소프트웨어 신뢰성모형에 대한 비교문제를 제시하였다. 그 결과 형상모수가 비교적 큰 경우가 효율적으로 나타났다. 그리고 모수추정법은 최우추정법을 이용하였고 모형선택은 평균제곱오차와 결정계수를 이용하였다. 이 연구를 통하여 소프트웨어 개발자들은 형상모수에 따른 소프트웨어 고장현상을 파악하는데 어느 정도 도움을 줄 수 있을 것으로 사료된다.

농업용 트랙터 변속기의 가속 수명 시험법의 사례연구 (Case Study of Accelerated Life Test Method for Agricultural Tractor Transmission)

  • 김대철;강영선
    • Journal of Biosystems Engineering
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    • 제34권5호
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    • pp.325-330
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    • 2009
  • This study was performed to develop accelerated life test methods for agricultural tractor transmission receiving variable load. To acquire parameters for calculation of accelerated life test, endurance tests were performed under different torque conditions. Test results showed that the shape factor of Weibull distribution was 1.5 and fatigue damage exponent was 5.4. The calculated test time was 5,877 hours under the conditions of average life (MTBF) 3,000 hours and 90% reliability for one test sample. According to the linear cumulative damage rule, test time could be reduced using increased test load. Test time could be reduced by 252 hours when 1.2 times of the rated load compared with 0.67 times of the rated equivalent load calculated by load spectrum of the agricultural tractor. Calculated acceleration coefficient was 23.3.

피로균열전파저항의 변동성에 의한 균열전파율의 해석 (An Analysis of Crack Growth Rate Due to Variation of Fatigue Crack Growth Resistance)

  • 김선진
    • 대한기계학회논문집A
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    • 제23권7호
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    • pp.1139-1146
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    • 1999
  • Reliability analysis of structures based on fracture mechanics requires knowledge on statistical characteristics of the parameter C and m in the fatigue crack growth law, $da/dN=C({\Delta}K)^m$. The purpose of the present study is to investigate if it is possible to predict fatigue crack growth rate by only the fluctuation of the parameter C. In this study, Paris-Erdogan law is adopted, where the author treat the parameter C as random and m as constant. The fluctuation of crack growth rate is assumed only due to the parameter C. The growth resistance coefficient of material to fatigue crack growth (Z=1/C) was treated as a spatial stochastic process, which varies randomly on the crack path. The theoretical crack growth rates at various stress intensity factor range are discussed. Constant ${\Delta}K$ fatigue crack growth tests were performed on the structural steel, SM45C. The experimental data were analyzed to determine the autocorrelation function and Weibull distributions of the fatigue crack growth resistance. And also, the effect of the parameter m of Paris' law due to variation of fatigue crack growth resistance was discussed.

SKD11 절단금형치구용 소재의 마모손상에 관한 연구 (A study on wear damage of SKD11 steel material for a cutting mold jig)

  • 남기우;김철수;안석환
    • 동력기계공학회지
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    • 제20권5호
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    • pp.5-13
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    • 2016
  • This study is on wear damage of the material for a molding machine that be used at finally cutting of metal beam made in roll forming process of vehicle bump beam process line. SKD11 steel was used with the material for cutting mold jig. In the cutting mold jig, Ti diffusion heat treatment after vacuum heat treatment was carried out for upgrade of surface hardness and anti-wear. Also, the heat treatments by various methods were performed to compare the wear damage degree against above the existing heat treatment. Wear loss and friction coefficient were obtained from wear test. And, micro Vickers hardness values were compared with damaged parts or not of cutting mold jig. Micro Vickers hardness value appeared higher at the undamaged part by Ti diffusion heat treatment. The micro Vickers hardness well followed a two-parameter Weibull probability distribution.

Prediction of Extreme Sloshing Pressure Using Different Statistical Models

  • Cetin, Ekin Ceyda;Lee, Jeoungkyu;Kim, Sangyeob;Kim, Yonghwan
    • Journal of Advanced Research in Ocean Engineering
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    • 제4권4호
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    • pp.185-194
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    • 2018
  • In this study, the extreme sloshing pressure was predicted using various statistical models: three-parameter Weibull distribution, generalized Pareto distribution, generalized extreme value distribution, and three-parameter log-logistic distribution. The estimation of sloshing impact pressure is important in design of liquid cargo tank in severe sea state. In order to get the extreme values of local impact pressures, a lot of model tests have been carried out and statistical analysis has been performed. Three-parameter Weibull distribution and generalized Pareto distribution are widely used as the statistical analysis method in sloshing phenomenon, but generalized extreme value distribution and three-parameter log-logistic distribution are added in this study. Additionally, statistical distributions are fitted to peak pressure data using three different parameter estimation methods. The data were obtained from a three-dimensional sloshing model text conducted at Seoul National University. The loading conditions were 20%, 50%, and 95% of tank height, and the analysis was performed based on the measured impact pressure on four significant panels with large sloshing impacts. These fittings were compared by observing probability of exceedance diagrams and probability plot correlation coefficient test for goodness-of-fit.

비균질 지반에서 압밀계수의 확률분포가 압밀의 확률론적 해석에 미치는 영향 (Effect of Probability Distribution of Coefficient of Consolidation on Probabilistic Analysis of Consolidation in Heterogeneous Soil)

  • 봉태호;허준;손영환
    • 한국농공학회논문집
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    • 제60권3호
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    • pp.63-70
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    • 2018
  • In this study, a simple probabilistic approach using equivalent coefficient of consolidation ($c_e$) was proposed to consider the spatial variability of coefficient of vertical consolidation ($c_v$), and the effect of the probability distribution of coefficient of consolidation on degree of consolidation in heterogeneous soil was investigated. The statistical characteristics of consolidation coefficient were estimated from 1,226 field data, and four probability distributions (Normal, Log-normal, Gamma, and Weibull) were applied to consider the effect of probability distribution. The random fields of coefficient of consolidation were generated based on Karhunen-Loeve expansion. Then, the equivalent coefficient of consolidation was calculated from the random field and used as the input value of consolidation analysis. As a result, the probabilistic analysis can be performed effectively by separating random field and numerical analysis, and probabilistic analysis was performed using a Latin hypercube Monte Carlo simulation. The results showed that the statistical properties of $c_e$ were changed by the probability distribution and spatial variability of $c_v$, and the probability distribution of $c_v$ has considerable effects on the probabilistic results. There was a large difference of failure probability depend on the probability distribution when the autocorrelation distance was small (i.e., highly heterogeneous soil). Therefore, the selection of a suitable probability distribution of $c_v$ is very important for reliable probabilistic analysis of consolidation.