• Title/Summary/Keyword: Weibull Plot

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The Derivation of the Frequency Formulae from the Basin Characteristics (유역특성으로부터 확률홍수량의 유도에 관한 연구)

  • 양동율;고재웅
    • Water for future
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    • v.14 no.3
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    • pp.37-46
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    • 1981
  • The purpose of this paper is to provide a method of estimating the magnitude and frequency of floods on five major streams in Korea such as the Han, the naktong, the Geum, the Seomjin and the Yeongsan. Derivation of the flood frequency formulae is based on the multiple correlation method. For each gaging station in the region, flood frequency curves are drawn by GumbelChow and Weibull plot. where 24 gaging stations are selected for this study. After the station flood-frequency cruves have been prepared, discharges are read at selected recurrence intervals. Each set of discharges is then correlated with basin parameters, using regression equation. The basin parameters that are considered include drainage area, length of main stream, shape facotr, mean basin slope and main channel slope.

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Evaluation of Flexural Strength of Silicon Die with Thickness by 4 Point Bending Test (4점굽힘시험에 의한 실리콘 다이의 두께에 따른 파단강도 평가)

  • Min, Yoon-Ki;Byeon, Jai-Won
    • Journal of the Microelectronics and Packaging Society
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    • v.18 no.1
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    • pp.15-21
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    • 2011
  • In this study, flexural strength and fracture behavior of silicon die from single crystalline silicon wafer were investigated as a function of thickness. Silicon wafers with various thickness of 300, 200, 180, 160, 150, and 100 ${\mu}m$ were prepared by mechanical grinding and polishing of as-saw wafers. Flexural strength of 40 silicon dies (size: 62.5 mm${\times}$4 mm) from each wafer was measured by four point bending test, respectively. For statistical analysis of flexural strength, shape factor(i.e., Weibull modulus) and scale factor were determined from Weibull plot. Flexural strength reflecting both statistical fracture probability and size (thickness) effect of brittle silicon die was obtained as a linear function of die thickness. Fracture appearance was discussed in relation with measured fracture strength.

Estimation of sewer deterioration by Weibull distribution function (와이블 분포함수를 이용한 하수관로 노후도 추정)

  • Kang, Byongjun;Yoo, Soonyu;Park, Kyoohong
    • Journal of Korean Society of Water and Wastewater
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    • v.34 no.4
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    • pp.251-258
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    • 2020
  • Sewer deterioration models are needed to forecast the remaining life expectancy of sewer networks by assessing their conditions. In this study, the serious defect (or condition state 3) occurrence probability, at which sewer rehabilitation program should be implemented, was evaluated using four probability distribution functions such as normal, lognormal, exponential, and Weibull distribution. A sample of 252 km of CCTV-inspected sewer pipe data in city Z was collected in the first place. Then the effective data (284 sewer sections of 8.15 km) with reliable information were extracted and classified into 3 groups considering the sub-catchment area, sewer material, and sewer pipe size. Anderson-Darling test was conducted to select the most fitted probability distribution of sewer defect occurrence as Weibull distribution. The shape parameters (β) and scale parameters (η) of Weibull distribution were estimated from the data set of 3 classified groups, including standard errors, 95% confidence intervals, and log-likelihood values. The plot of probability density function and cumulative distribution function were obtained using the estimated parameter values, which could be used to indicate the quantitative level of risk on occurrence of CS3. It was estimated that sewer data group 1, group 2, and group 3 has CS3 occurrence probability exceeding 50% at 13th-year, 11th-year, and 16th-year after the installation, respectively. For every data groups, the time exceeding the CS3 occurrence probability of 90% was also predicted to be 27th- to 30th-year after the installation.

Morphology, Thermal, Electrical Properties for Epoxy-Layered Silicate Nanocomposites using Homogenizer +Ultrasonic Dispersion Method (Homogenizer+Ultrasonic을 이용한 Epoxy-Layered Silicate Nanocomposites의 구조적, 열적, 전기적 특성연구)

  • Park, Jae-Jun;Um, Ji-Yong;Lee, Chang-Hun;Kim, Min-Kyu;Baek, Kwan-Hyun
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2008.11a
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    • pp.287-288
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    • 2008
  • 에폭시-층상실리케이트 나노콤포지트의 균질분산과 층상실리케이트내로 침투되는 박리정도를 향상시키기 위해 친환경적 분산기법인 물리적방법으로 Homogenizer와 Power Ultrasonic를 적용한 기법을 실시하였다. Homogenizer의 최적속도를 얻기 위해 분산시킨 나노콤포지트의 박리정도, 유리천이온도를 구할 수 있었고, Homogenizer와 Ultrasonic을 동시에 적용하여 최적시간을 구하기 위해 적용된 나노콤포지트를 절연파괴 강도의 Weibull Plots을 통하여 판단할 수 있는 좋은 결과를 얻을 수 있었다.

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Effect of Dispersion Agents for Epoxy-Organoclay Nanocomposites (Epoxy-Organoclay Nanocomposites의 Dispersion Agent 영향)

  • Park, Jae-Jun;Cho, Dae-Ryung;Lee, Hyun-Dong;Bang, Byung-Yun
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2008.11a
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    • pp.296-297
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    • 2008
  • 층상실리케이트 나노입자가 충진된 에폭시수지를 분산정도 향상을 위해 즉, 층상실리케이트 층간간경의 삽입과 박를 향상시키기 위해 분산제를 첨가하였고, 초음파 적용으로 분산시켰다. 그 결과 분산제 종류에따라 분산정도인 X-RD 특성이 서로다른 결과를 얻었다. 절연성능을 평가하기위해 단시간 절연파괴강도와 장시간 절연파괴특성인 트리시스템을 이용하여 절연파괴시간 및 측정하였다. 이와같은 결과에대한 통계적인 분석으로 Weibull plots를 이용하였고 그 결과 분산제가 첨가된 나노콤포지트의 기울기 파라미터인 $\beta$값의 결과로부터 나노콤포지트 우수성을 확인 할수있었다.

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Life Analysis of High Pressure Hydraulic Hose Assemblies by Impulse Test (충격압력을 이용한 고압용 유압호스 조립체의 수명분석)

  • Lee Y.B.;Kim H.E.;Yoo Y.C.;Park J.H.;Ko J.M.;Kwak D.H.;Lee J.K.
    • Transactions of The Korea Fluid Power Systems Society
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    • v.1 no.1
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    • pp.10-16
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    • 2004
  • The failures such as leakage and burst stemmed from the repetitive motions of bending and stretching of the assembly of hydraulic hose in construction machines, agriculture machines, vehicles, and industrial heavy machines can induce big troubles. Therefore, the hydraulic hose itself eventually requires an estimation of life to operate the hydraulic system safely. In this research, we have qualitatively selected the efficient test items by the analysis of the life and potential failures of hydraulic hose. We have used more than seven of hydraulic hoses simultaneously for the research. We have applied impulse pressure and half omega flexing motions to the accelerated life testing Test results have been expressed by employing weibull plot.

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Thermal and electrical Characteristics of Epoxy-Nanocomposites according to AIN Nanoparticles Surface Treatment (Epoxy/AIN Nanoparticles의 표면처리에따른 에폭시-Nanocomposites 열적 그리고 전기적 특성연구)

  • Lee, Chang-Hun;Kim, Jong-Min;Kim, Jae-Bong;Lee, Sang-Hyup;Kim, Do-Hwan;Park, Jae-Jun
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2009.11a
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    • pp.149-149
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    • 2009
  • 본 연구는 고압전력용 중전기기의 몰드절연 및 옥외용 LED의 절연소재는 기기내부에서 발생된 열에너지를 외부로 방사시키는 것이 무엇보다 중요한 것이다. 이런 이유로 고압전력용 전력기기 대부분은 상당한 체적분을 가지고 있기에 초절연을 가지면서 고열전도를 갖는 나노콤포지트를 개발하기위해 에폭시 메트릭스 기반 질화알루미륨의 표면 처리를 실시하여 에폭시 AIN Nanocomposites를 제조하였다. 나노입자의 균질분산은 나노콤포지트 열전도와 초절연성능에 크게 영향을 주게 된다. 이런 소재개발을 위해 에폭시메트릭스에 나노입자의 충진함량을 3wt%로 하였다. 전처리공정을 통하여 에폭시-나노콤포지트에 두 종류의 금속성 coupling agent (Tyzor TE, Tyzor AA-75)를 질화알루미륨 나노입자 표면처리를 건식법으로 실시하였다. 제조된 Epoxy-AIN Nanocomposites의 열적특성과 전기적 특성을 측정하였다. 전기적특성으로 초절연성의 특성인 형상파라미터가 10.93을 그리고 척도파라미터는 176 kV/mm로서 Weibull Plot 누적확률밀도로서(63.2%)의 통계분석된 값을 얻었다. 또한 열적특성 평가를 위해 유리천이온도와 DMA의 온도특성를 조사하였고, 열적.전기적 특성과 나노콤포지트 내부분산(내부 모폴로지:TEM영상)와 연관되어 연구한 결과, 상당히 일치한 결과를 얻을 수 있었다.

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Extraction of Time-varying Failure Rate for Power Distribution System Equipment (배전계통 설비의 시변 고장률 추출)

  • Moon, Jong-Fil;Lee, Hee-Tae;Kim, Jae-Chul;Park, Chang-Ho
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.54 no.11
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    • pp.548-556
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    • 2005
  • Reliability evaluation of power distribution system is very important to both power utilities and customers. It present the probabilistic number and duration of interruption such as failure rate, SATDI, SAIFI, and CAIDI. However, it has a fatal weakness at reliability index because of accuracy of failure rate. In this paper, the Time-varying Failure Rate(TFR) of power distribution system equipment is extracted from the recorded failure data of KEPCO(Korea Electric Power Corporation) in Korea. For TFR extraction, it is used that the fault data accumulated by KEPCO during 10 years. The TFR is approximated to bathtub curve using the exponential(random failure) and Weibull(aging failure) distribution function. In addition, Kaplan-Meier estimation is applied to TFR extraction because of incomplete failure data of KEPCO. Finally, Probability plot and regression analysis is applied. It is presented that the extracted TFR is more effective and useful than Mean Failure Rate(MfR) through the comparison between TFR and MFR

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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    • v.4 no.4
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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.

A Study on Attribute Analysis of Software Development Cost Model about Life Distribution Considering Shape Parameter of Weibull Distribution (수명분포가 와이블 분포의 형상모수를 고려한 소프트웨어 개발 비용모형에 관한 속성분석 연구)

  • Kim, Hee-Cheul
    • The Journal of Korea Institute of Information, Electronics, and Communication Technology
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    • v.11 no.6
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    • pp.645-650
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    • 2018
  • Software stability is the possibility of operating without any malfunction in the operating environment over time. In a finite failure NHPP for software failure analysis, the failure occurrence rate may be constant, monotonically increasing, or monotonically decreasing. In this study, based on the NHPP model and based on the software failure time data, we compared and analyzed the attributes of the software development cost model using the exponential distribution Rayleigh distribution and inverse exponential distribution considering the shape parameter of the Weibull distribution as the life distribution. The results of this study show that the Rayleigh model is the fastest release time and has the economic cost compared to the inverse-exponential model and the Goel-Okumoto model. Using the results of this study, it can be expected that software developers and operators will be able to predict the optimal release time and economic development cost.