• Title/Summary/Keyword: Log-normal distribution

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Effect of Boundary Conditions of Failure Pressure Models on Reliability Estimation of Buried Pipelines

  • Lee, Ouk-Sub;Pyun, Jang-Sik;Kim, Dong-Hyeok
    • International Journal of Precision Engineering and Manufacturing
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    • v.4 no.6
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    • pp.12-19
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    • 2003
  • This paper presents the effect of boundary conditions in various failure pressure models published for the estimation of failure pressure. Furthermore, this approach is extended to the failure prediction with the aid of a failure probability model. The first order Taylor series expansion of the limit state function is used in order to estimate the probability of failure associated with each corrosion defect in buried pipelines for long exposure period with unit of years. A failure probability model based on the von-Mises failure criterion is adapted. The log-normal and standard normal probability functions for varying random variables are adapted. The effects of random variables such as defect depth, pipe diameter, defect length, fluid pressure, corrosion rate, material yield stress, material ultimate tensile strength and pipe thickness on the failure probability of the buried pipelines are systematically investigated for the corrosion pipeline by using an adapted failure probability model and varying failure pressure model.

A Study on Reliability Data Analysis for Components of Machining Center (공작기계 부품의 신뢰성 데이터 해석에 관한 연구)

  • 이수훈;김종수;송준엽;이승우;박화영
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2001.04a
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    • pp.88-91
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    • 2001
  • The reliability data analysis for components of CNC machining center is studied in this paper. The failure data of mechanical part is analyzed by Exponetial, Weibull, and Log-normal distributions. And then, the optimum failure distribution model is selected by goodness of fit test. The reliability data analysis program is developed using ASP language. The failure rate, MTBF, life, and failure mode of mechanical parts are estimated and searched by this program. The failure data and analysis results are stored in the database.

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A Study on the Statistical Characterisics of Fatigue Crack Propagation Rate in Turbine Rotor Steel(I) (터빈 로터강의 피로크랙전파속도의 확률특성 연구( I ))

  • 오세욱;이치우;정순호
    • Journal of Ocean Engineering and Technology
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    • v.1 no.2
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    • pp.83-92
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    • 1987
  • Inorder ot estimate the running life of turbine rotors, fatigue crack propagation low, da/dN = C(${\DELTA}K)^m$, proposed by paris et al. has been widely applied. In this study, fatigue crack propagation rates for 16 samples of 1% Cr-Mo-V rotor steel were measured and statistical characteristics of m and C values in above equation were reviewed. The results are summarized as follows. 1. C and m follow a log-normal distribution and normal distribution, respectively. And the relation of C and shows a strong negative correlation. 2. Fatigue crack propagation equation can be expressed as da/dN=$4.11{\times}10^{-4}({\Delta}K/153.8)^m$, introducing the ralationship C=$C_oK_o^{-m}$. In this case, contribution of $C_o$ distribution to the distribution of log C shows very small compared to degrees of contribution by m.

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Droplet size prediction model based on the upper limit log-normal distribution function in venturi scrubber

  • Lee, Sang Won;No, Hee Cheon
    • Nuclear Engineering and Technology
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    • v.51 no.5
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    • pp.1261-1271
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    • 2019
  • Droplet size and distribution are important parameters determining venturi scrubber performance. In this paper, we proposed physical models for a maximum stable droplet size prediction and upper limit log-normal (ULLN) distribution parameters. For the proposed maximum stable droplet size prediction model, a Eulerian-Lagrangian framework and a Reitz-Diwakar breakup model are solved simultaneously using CFD calculations to reflect the effect of multistage breakup and droplet acceleration. Then, two ULLN distribution parameters are suggested through best fitting the previously published experimental data. Results show that the proposed approach provides better predictions of maximum stable droplet diameter and Sauter mean diameter compared to existing simple empirical correlations including Boll, Nukiyama and Tanasawa. For more practical purpose, we developed the simple, one dimensional (1-D) calculation of Sauter mean diameter.

Decomposition of Sediment size Curves into Log-Normal components: An Example from Cheju Strait Continental shelf (퇴적물입도곡선의 정규성분으로의 분해:제주해협의 예)

  • 공영세;김원식
    • 한국해양학회지
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    • v.28 no.2
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    • pp.114-120
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    • 1993
  • Numerical method of nonlinear regression was introduced to characterize grain-size distribution more effectively than using the traditional textural parameters. This technique proved critical particularly to multimodal size distributions, as exemplified by samples from Cheju strait continental shelf. Grain-size analysis of samples collected from the Cheju Strait continental shelf reveals that 86% of the grain-size distributions are multimodal. As multimodal grain-size distribution deviates from the statistical (log) normal distribution, the grain-size parameters traditionally used in sediment studies do not describe the distribution efficiently. Therefore, the use of grain-size curves into elementary normal component curves was used. Means and standard deviations of 387 decomposed normal components were decided by a decomposition method (nonlinear least square regression) from 167 size curves of the Cheju Strait sediments. The mean values of decomposed normal components show peaks at 1-3 phi and 8-9 phi size classes. The plot of mean values of the coarse fraction normal components on the map shows a characteristic and complex areal distribution. On the basis of the areal distribution of the mean values of the components and that of isopach of total Plenipotence sediment, the areal distribution of layers composing a transgressive sand of Late Plenipotence age were revealed.

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Size Distribution of Suspended Cohesive Sediment (점착성 유사의 입도분포 특성 분석)

  • Son, Minwoo;Park, Byeoung Eun;Byun, Jisun
    • Proceedings of the Korea Water Resources Association Conference
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    • 2019.05a
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    • pp.246-246
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    • 2019
  • 점착성 유사는 비점착성 유사보다 작은 입자 크기를 가지며 전자기적 점착력에 의해 연속적인 응집과 파괴의 과정인 응집현상을 겪는다. 응집현상에 의해 생긴 유사 덩어리를 플럭(Floc)이라고 하며 유사의 응집현상은 점착성 유사가 가지는 입자 크기, 침강속도, 밀도를 변화시킨다. 유사의 이동은 크기, 침강속도, 밀도에 영향을 받는다. 따라서 점착성 유사의 여러 특성에 관여하는 입자의 크기에 대한 충분한 이해는 점착성 유사의 이동을 파악하는 데에 필수적이다. 본 연구에서는 점착성 유사의 여러 특성 중, 입자 크기 분포에 대한 특성을 분석하는 것을 수행하였다. 일반적으로 점착성 유사의 연구에서 입도 분포는 Log-normal 분포로 가정하여 사용되고 있다. 그러나 그 적합성에 대해서는 검증된 바가 없다. 따라서 과거 연구에서 조사된 점착성 유사의 입도 분포 자료를 현장에서 측정된 자료와 실험실에서 측정된 자료로 나누어 수집한 후, 표본에 통계학적인 방법인 적합도 검정을 사용하여 실제 어떠한 분포를 모사하는지 살펴보았다. 적합도 검정은 Kolmogorov- Smirnov (K-S)검정을 이용하였으며 K-S 검정의 결과가 유의수준 5%를 통과하는 경우 가정된 분포가 실제 표본을 잘 모사하는 것으로 판단하였다. 적합도 검정 결과, 점착성 유사의 입도 분포는 현장 실험과 실험실 실험에서 다른 특징을 나타내었다. 현장 실험의 경우 입도 분포의 형태가 지수 분포의 형태를 나타내는 경우가 많았으며 Gamma 분포가 우수하게 모사하였다. 실험실 실험의 입도 분포는 일반적인 양의 왜곡도를 가지는 분포를 그렸으며 GEV 분포와 Gamma 분포가 우수하게 모사하였다. 두 경우 모두 Log-normal 분포가 적합하다고 판단되는 경우는 많지 않았다. 그러나 Log-normal 분포에 위치 매개변수를 추가하여 3 매개변수의 분포로 모사한 경우 유의수준 5%를 통과하는 경우가 크게 증가하였다. 향후에는 점착성 유사의 입도 분포를 모사하고 사용함에 있어 Log-normal 분포를 무조건적으로 이용하는 것은 지양해야할 것으로 판단된다. 2 매개변수의 분포를 점착성 유사의 입도분포로 사용할 경우, Gamma 분포를 추천하며, 기존에 사용되던 Log-normal 분포를 사용할 경우 위치 매개변수를 추가하여 3 매개변수의 Log-normal 분포를 이용할 것을 추천한다. 또한 점착성 유사의 입도를 모사하는 분포를 개발하여 사용한다면 점착성 유사의 이동과 특성을 연구할 때 가장 중요한 크기 특성에 대한 많은 정보를 제공할 수 있다고 판단된다.

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Repair Cost Analysis for Chloride Ingress on RC Wall Considering Log and Normal Distribution of Service Life (로그 및 정규분포 수명함수를 고려한 콘크리트 벽체의 염해 보수비용 산정)

  • Yoon, Yong-Sik;Kwon, Seung-Jun
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.23 no.2
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    • pp.10-19
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    • 2019
  • Management plan with repairing is essential for RC structures exposed to chloride attack since durability problems occur with extended service life. Conventionally deterministic method is adopted for evaluation of service life and repair cost, however more reasonable repair cost can be obtained through continuous repair cost from probabilistic maintenance technique. Unlike the previous researches considering only normal distribution of life time, PLTFs (Probabilistic Life Time Function) which can be capable of handling log and normal distributions are attempted for initial and repair service life, and repair cost is evaluated for OPC and GGBFS concrete. PLTF with log distributions in initial service life is more effective to save repair cost since it is more dominant after average than normal distribution. Repair cost in GGBFS concrete decreases to 30% of OPC concrete due to longer initial service life and lower repairing event. The proposed PLTF from the work can handle not only normal distributions but also log distributions for initial and repair service life, so that it can provide more reasonable repair cost evaluation.

A rice-lognormal channel model for nongeostationary land mobile satellite system

  • 황승훈;한규진;안재영;서종수;황금찬
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.23 no.4
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    • pp.1113-1120
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    • 1998
  • This paper introduces a channel model that is a combination of Rice and log-normal statistics, with independent shadowing affectingeach direct and diffuse component, repectively. This model extends the channel model of a combined Rice and Log-normal, proposed by Corazza, to include the independent shadowing. The validity of model is confirmed by comparisons with the data collectedin the literature, the analytical model, and the computer model in terms of probability distribution of the evvelope of each model. The model turns out to be one of many well-known narrowband models in limiting cases, e.g. Rayleigh, Rice, log-normal, Suzuki, Loo, and Corazza. Finally, the examples of bit error probability evaluations for several values of the elevation angle in the channel are provided.

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Excursion model for the spin distribution of dark matter halos

  • Ahn, Jieun;Kim, Juhan;Shin, Jihye;Kim, Sungsoo S.;Park, Changbom
    • The Bulletin of The Korean Astronomical Society
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    • v.38 no.1
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    • pp.34.2-34.2
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    • 2013
  • Spin distribution of dark matter halos in a cosmological N-body simulation is well fitted by a log-normal distribution, but the origin of the log-normal like shape is still unknown. To understand the evolution of spin and the origin of spin distribution, we have studied the change of the angular momentum of simulated halos through their merging histories. First, we traced merging histories of the dark matter halos and measured the probability distribution of the angular momentum changes from a series of simulations. We were able to fit the angular momentum changes with the Gaussian distribution in spaces of M, spin, ${\Delta}M$. Using the simulated merging trees and the distribution of angular momentum changes during the merging events, we can recover the spin distribution of halos over the various mass scales.

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Statistical Distribution of Fatigue Crack Growth Rate for Friction Stir Welded Joints of Al7075-T651 (Al7075-T651의 마찰교반용접된 접합부의 피로균열전파율의 통계적 분포)

  • Ahn, Seok-Hwan;Kim, Seon-Jin
    • Journal of Power System Engineering
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    • v.17 no.4
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    • pp.86-93
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    • 2013
  • This paper deals with the effects of driving force and material properties on statistical distribution of fatigue crack growth rate (FCGR) for the friction stir welded joints of Al 7075-T651 aluminum plate. In this work, the statistical probability distribution of fatigue crack growth rate was analyzed by using our previous constant stress intensity factor range controlled fatigue crack growth test data. As far as this study are concerned, the statistical probability distribution of fatigue crack growth rate for the friction stir welded (FSWed) joints was found to evaluate the variability of fatigue crack growth rate for base metal (BM), heat affected zone (HAZ) and weld metal (WM) specimens. The probability distribution of fatigue crack growth rate for FSWed joints was found to follow well log-normal distribution. The shape parameter of BM and HAZ was decreased with increasing the driving force, however, the shape parameter of WM was decreased and increased with increasing the driving force. The scale parameter of BM, HAZ and WM was increased with the driving force.