• Title/Summary/Keyword: Weibull Distribution Function

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Influences of Forest Management Activity on Growth and Diameter Distribution Models for Larix kaempferi Carriere Stands in South Korea (산림시업이 일본잎갈나무 임분의 생장과 직경분포모형에 미치는 영향)

  • Lee, Sun Joo;Lee, Young Jin
    • Journal of agriculture & life science
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    • v.52 no.6
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    • pp.37-47
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    • 2018
  • The objective of this study was to analyze the influences of forest management activity on the diameter distribution of Larix kaempferi Carriere stands in South Korea. We used 232 managed stands data, 47 unmanaged stands data of National Forest Inventory for this study. We employed the Weibull distribution function for estimating diameter based on percentiles and parameter recovery method. The results revealed that the average diameter breast height movements and growth of tree in the managed stands higher than the unmanaged stands according to the scenario: age, site index, and tree density change. The finding shows the percentage of the total amount of large class diameter was also high in the managed stands. The results of this study could be apply for the estimation of multi-products of timbers per diameter classes and stand structure development for Larix kaempferi Carriere stands in South Korea.

Estimation of Fatigue Crack Initiation Life Distribution by Multi-notched Specimen (다응력집중부(多應力集中部)를 가진 판(判)에 의(依)한 피로균열(疲勞龜裂) 발생수명(發生壽命) 분포(分布) 추정(推定))

  • S.W. Kang;D.S. Uom;J.H. Lee
    • Journal of the Society of Naval Architects of Korea
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    • v.29 no.4
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    • pp.234-243
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    • 1992
  • Fatigue crack initiation life has a wide scatter and this makes the fatigue design of structural members difficult. In order to make the fatigue life distribution clear, it is required to prepare a large number of specimens and repeat the fatigue tests under the same loading condition. Such fatigue tests usually take much time and cost. In this study, a fatigue testing method using a multi-notched test specimen for the purpose of estimating the distribution function of fatigue crack initiation life by small number of fatigue tests is used. The purpose of this study is to verify the above fatigue testing method of a multi-notched specimen by using Bayesian reliability analysis, Least square method and Skewness method for the determination of unknown Weibull parameters. The multi-notched specimen is a specimen in which several tens of statistically identical notches are prepared.

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Probabilistic Fatigue Life Evaluation of Rolling Stock Structures (철도차량 구조물의 확률론적 피로수명 평가)

  • 구병춘;서정원
    • Transactions of the Korean Society of Automotive Engineers
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    • v.11 no.5
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    • pp.89-94
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    • 2003
  • Rolling stock structures such as bogie frame and car body play an important role for the support of vehicle leading. In general, more than 25 years' durability is needed for them. A lot of study has been carried out for the prediction of the fatigue life of the bogie frame and car body in experimental and theoretical domains. One of the new methods is a probabilistic fatigue lift evaluation. The objective of this paper is to estimate the fatigue lift of the bogie frame of an electric car, which was developed by the Korea Railroad Research Institute (KRRI). We used two approaches. In the first approach probabilistic distribution of S-N curve and limit state function of the equivalent stress of the measured stress spectra are used. In the second approach, limit state function is also used. And load spectra measured by strain gauges are approximated by the two-parameter Weibull distribution. Other probabilistic variables are represented by log-normal and normal distributions. Finally, reliability index and structural integrity of the bogie frame are estimated.

An Experimental Analysis of a Probabilistic DDHV Estimation Model (확률적인 중방향 설계시간 교통량 산정 모형에 관한 실험적 해석)

  • Jo, Jun-Han;Kim, Seong-Ho;No, Jeong-Hyeon
    • Journal of Korean Society of Transportation
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    • v.27 no.2
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    • pp.23-34
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    • 2009
  • This paper is described as an experimental analysis for the probabilistic directional design hour volume estimation. The main objective of this paper is to derive acceptable design rankings, PK factors, and PD factors. In order to determine an appropriate distribution for acceptable design rankings, 12 probability distribution functions were employed. The parameters were estimated based on the method of maximum likelihood. The goodness of fit test was performed with a Kolmogorov-Smirnov test. The Beta General distribution among the probability distributions was selected as an appropriate model for 2 lane roadways. On the other hand, the Weibull distribution is superior for 4 lanes. The method of the inverse cumulative distribution function came up with an acceptable design ranking of design for LOS D. An acceptable design ranking of 2 lanes is 190, while an acceptable design ranking for 4 lanes is 164. The PK factor and PD factor of 2 lanes was elicited for 0.119 (0.100-0.139) and 0.568 (0.545-0.590), respectively. On the other hand, the PK factor and PD factor for 4 lanes was elicited as 0.106 (0.097-0.114) and 0.571 (0.544-0.598), respectively.

Probabilistic Characteristics Analysis of Disturbed Function for Geosynthetic-Soil Interface Using Cyclic Shear Tests (동적전단시험을 이용한 토목섬유-흙 접촉면에 대한 교란도함수의 확률특성 분석)

  • Huh, Jungwon;Park, Innjoon
    • Journal of the Korean GEO-environmental Society
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    • v.13 no.11
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    • pp.81-91
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    • 2012
  • This paper mainly deals with the analysis of probabilistic characteristics of the disturbed function proposed to predict dynamic behavior of Geosynthetic-soil interface as the lining and cover systems used in waste landfills. Calibration and statistical property estimation of the parameters in the disturbed function model were first performed using many experimental data obtained from a new multi-purpose interface apparatus (M-PIA). In order to analyze the effect due to changes in chemical degradation and normal loads condition, probabilistic properties such as mean, coefficient of variation and distribution type of the disturbed function were evaluated using both the LHS method known to be a very efficient sampling scheme and the estimated statistical property of A and Z. As a result, variation of the disturbed function is found to range approximately from 10~28% according to the level of ${\xi}_D$ and Weibull appears to be the most adequate distribution type at almost all levels of ${\xi}_D$. It is concluded that a probabilistic safety assessment method for Geosynthetic-soil interface considering uncertainty in shear strength can be developed by utilizing probabilistic properties of the disturbed function obtained in this study.

Identifying Sensitive Components and Analyzing Reliability Process to Output Characteristic for an EAFD Circuit System According to Changes of Internal Component Values (전자식 점화안전장치 회로 시스템 내부 소자 변화에 따른 민감 소자 확인 및 출력 특성에 대한 신뢰성 분석 프로세스)

  • Lim, Tae Heung;Byun, Gangil;Jang, Seung-gyo;Back, Seungjun;Son, Youngkap;Choo, Hosung
    • Journal of the Korea Institute of Military Science and Technology
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    • v.21 no.5
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    • pp.697-703
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    • 2018
  • In this paper, we analyzed the operation of the ignition circuit for electronic arm and fire device(EAFD), and investigated the sensitive elements of the circuit system. For reliability analysis, the EAFD ignition circuit was modeled using the PSpice simulation tool, and the output results of the circuit were examined by changing the tolerance of each circuit element. Monte Carlo simulation was used by maintaining the values of the observed sensitive elements at ${\pm}10%$ of the original values and adjusting the values of the other components according to a random distribution. The histogram results of the output peak currents and pulse widths were represented by Weibull and Burr type XII function fittings in three cases(element values are +10 %, 0 %, -10 % of original). For the output peak currents, mean values were 1.0028, 1.0034, and 1.0050, where the variance values were calculated as 0.0398, 0.0396, and 0.0290 using the Weibull function fitting, respectively. For pulse widths, the mean values of 0.9475, 0.9907, and 1.0293 with the variance values of 0.0260, 0.0251, and 0.0238 were obtained using the Burr Type XII function fittings.

Temperature distribution analysis of steel box-girder based on long-term monitoring data

  • Wang, Hao;Zhu, Qingxin;Zou, Zhongqin;Xing, Chenxi;Feng, Dongming;Tao, Tianyou
    • Smart Structures and Systems
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    • v.25 no.5
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    • pp.593-604
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    • 2020
  • Temperature may have more significant influences on structural responses than operational loads or structural damage. Therefore, a comprehensive understanding of temperature distributions has great significance for proper design and maintenance of bridges. In this study, the temperature distribution of the steel box girder is systematically investigated based on the structural health monitoring system (SHMS) of the Sutong Cable-stayed Bridge. Specifically, the characteristics of the temperature and temperature difference between different measurement points are studied based on field temperature measurements. Accordingly, the probability density distributions of the temperature and temperature difference are calculated statistically, which are further described by the general formulas. The results indicate that: (1) the temperature and temperature difference exhibit distinct seasonal characteristics and strong periodicity, and the temperature and temperature difference among different measurement points are strongly correlated, respectively; (2) the probability density of the temperature difference distribution presents strong non-Gaussian characteristics; (3) the probability density function of temperature can be described by the weighted sum of four Normal distributions. Meanwhile, the temperature difference can be described by the weighted sum of Weibull distribution and Normal distribution.

Hydrologic Analysis Methods for Performance Characteristics of Small Hydro Power Plant (소수력발전소의 수문학적 성능특성 분석)

  • Park, Wan Soon;Lee, Chul Hyung;Shim, Myung Pil
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.14 no.5
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    • pp.1159-1166
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    • 1994
  • This study presents the methodology for the performance analysis and prediction of small hydro power plants(SHP). Rainfall data are characterized to estimate the flow duration curve of SHP, using the cumulative density function of Weibull distribution. The model for the performance analysis of SHP is developed. Also, the performance characteristics of the existing Anheung Plant located in Han River basin are analyzed by using the developed model. As a result, it was found that the model is suitable to analyze the performance characteristics of existing SHP and to predict the primary design performance such as the design flowrate, capacity, rate of operation and annual electricity production of SHP.

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A Study on the Optimum Design Flowrate for Tunnel-Type Small Hydro-Power Plants (터널식 소수력 발전소의 최적 설계유량에 관한 연구)

  • 이철형;박완순
    • Water for future
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    • v.24 no.1
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    • pp.63-71
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    • 1991
  • This study represents the methodology for feasibility analysis of small hydro power plants. Cumulative density function of Weibull distribution and Thi-essen method were adopted to beside flow duration curve at candidate sites. The performance prediction model and construction cost estimation model for tunnel-type small hydro power plants were developed. Eight candidate sites existing on Han river selected and surveyed for actual sites reconnaissance. The performance characteristics and economical feasibility for these sites were analyzed by using developed models. As a result, it was found that the optimum design flowrates with the lowest unit generation cost for tunnel-type small hydro power plants were the flowrate concerning with between 20 % and 30 % of time ratio on the flow duration curve. Additionally, primary design specifications such as design flowrate, effective head, capacity, annual average load factor, annual electricity production were estimated and discussed for surveyed sites.

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Nano-indenter를 통한 유기발광소자(OLED)용 Ag전극의 표면처리에 따른 물성변화 연구

  • Kim, Ju-Yeong;Kim, Su-In;Lee, Gyu-Yeong;Kim, Hyeong-Geun;Jeon, Jae-Hyeok;Jeong, Yun-Jong;Kim, Mu-Chan;Lee, Jong-Rim;Lee, Chang-U
    • Proceedings of the Korean Vacuum Society Conference
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    • 2011.08a
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    • pp.224-224
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    • 2011
  • OLED (Organic Light-Emitting Diode) 디스플레이에서는 반사율이 가장 높은 silver (Ag)가 쓰이고 있지만, 소자에서 요구되는 일함수의 불일치 때문에 전극과 유기물간에 에너지 장벽이 발생하여 발광효율을 낮추는 요인이 되고 있다. 본 논문에서는 Ag 전극의 work function을 조절하기 위한 연구를 진행하였다. Ag를 rf magnetron sputter를 이용해 glass위에 증착한 후 furnace에서 300$^{\circ}C$, 30분간 공기중에서 열처리 하였고. 또 다른 샘플은 산소분위기에서 표면에 상압플라즈마로 처리 시간(30, 60, 90, 120 sec)을 각기 다르게 하여 샘플을 제조하였다. Ag전극은 Nanoindentation을 통해 국부 영역에 대한 물리적 특성의 변화를 측정하였고 Kelvin Probe Force Microscopy (KPFM)을 이용해 샘플의 포텐셜을 측정했다. 그 결과 열처리한 샘플은 포텐셜값은 가장 커졌지만 균일도가 낮아졌다. 30 sec, 120 sec 플라즈마 처리한 샘플은 탄성계수, 경도값, 및 Weibull modulus를 극히 낮게 만들었지만 60s, 90s 플라즈마 처리는 샘플의 경도값 균일도를 증가시켰다.

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