• Title/Summary/Keyword: 대수적 정규분포

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Seismic Fragility Analysis of a FCM Bridge Considering Soil Properties (지반특성을 고려한 FCM 교량의 지진취약도 분석)

  • Kim, Jae-Cheon;Byeon, Ji-Seok;Shin, Soo-Bong
    • Journal of the Earthquake Engineering Society of Korea
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    • v.12 no.3
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    • pp.37-44
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    • 2008
  • This study investigates the influence of various soil properties on the seismic performance of a three-span FCM bridge. Piers that are vulnerable to seismic vibration are identified through numerical study of plastic hinges possibly occurring at the top and bottom of the piers. The fragility curve is obtained as a lognormal distribution function with respect to peak ground acceleration(PGA). The median and logarithmic standard deviation, which are two parameters of a lognormal distribution function, are estimated using the maximum likelihood method. In order to consider the different soil properties of each support, an equivalent spring based on the Korean Standard Specifications for Highway Bridges(KSSHB) is adopted in this study. For seismic fragility analysis, the rotational ductility demands of bridge piers are used as a damage index of the structure.

Fragility Curves of Seismic Retrofitted Concrete Bridges (내진보강된 콘크리트 교량의 손상도 곡선)

  • Kim, Sang-Hoon;Kim, Doo-Kie;Seo, Hyeong-Yeol;Kim, Jong-In
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.8 no.1
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    • pp.203-210
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    • 2004
  • The fragility curves of seismic retrofitted bridges by steel jacketing at bridge columns and restrainers at expansion joints after the 1994 Northridge earthquake are developed. Fragility curves are represented by lognormal distribution functions with two parameters (median and log-standard deviation) and developed as a function of peak ground acceleration(PGA). Two parameters in the lognormal distribution are estimated by the maximum likelihood method. The sixty ground acceleration time histories for Los Angeles area developed for FEMA SAC project are used for the dynamic analysis of bridges. The comparison of fragility curves of the bridges before and after column retrofit demonstrates that the improvement of the bridges with steel jacketing on the seismic performance is excellent for the damage states defined in this study. The comparison of fragility curves of the bridges before and after the installation of restrainers at expansion joints also shows the improvement in the seismic performance of restrained bridges for the severe damage state.

Estimation of Mean Life and Reliability of Highway Pavement Based on Reliability Theory (신뢰성 개념을 이용한 포장의 평균수명 및 신뢰도 예측)

  • Do, Myung-Sik
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.30 no.5D
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    • pp.497-504
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    • 2010
  • In this paper, the author presents a reliability estimation technique to analyze the effects of traffic loads on pavement mean life based on the national highway database of Suwon and Uijeongbu region from 1999 to 2008. The estimation of the mean life, its standard deviation and reliability for pavement sections are calculated by using an appropriate distribution, Lognormal distribution, based on reliability theory. Furthermore, the probability paper method and Maximum likelihood estimation are both used to estimate parameters. The author found that mean life of newly constructed sections and over-layed sections is about 6.5 to 7.9 years and 7.3 to 9.1 years, respectively. The author also ascertained that the results of cumulative failure probability for pavement life between the proposed methods and observed data are similar. Such an assessment methodology and measures based on reliability theory can provide useful information for maintenance plans in pavement management systems as long as additional life data on pavement sections are accumulated.

Distribution Characteristics of Bending Properties for Visual Graded Lumber of Japanese Larch (육안등급으로 구분된 낙엽송 제재목의 휨성능 분포 특성)

  • Lee, Jun Jae;Kim, Gwang Chul;Kim, Kwang Mo;Oh, Jung Kwon
    • Journal of the Korean Wood Science and Technology
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    • v.31 no.5
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    • pp.72-79
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    • 2003
  • In reliability based design(RBD) method, the distribution characteristics of mechanical properties of material are basic input variable. Therefore, distribution type and parameters of mechanical properties should be determined accurately. Until now, the properties were derived from tests with small, clear specimens. However, the test conditions should emulate as nearly as possible the way in which the timber would be used in practice and the test results should, as closely as possible, reflect the structural end use conditions to which the timber products would be subjected. In this study, structural timbers (38mm by 140mm, 3.0m long) were graded by visual assessment of growth characteristics and defects. And then bending tests were conducted on 498 structural size timbers. For each grade, the distribution type and the parameters of mechanical properties were determined for each grade. For the determination of best-fit distribution type, comparing of square error between distribution types and KS test were conducted. Best-fit distribution type of bending strength(MOR) is weibull distribution for all grade. In case of MOE, normal distribution is best-fit.

Statistical Analysis for Fatigue Life Evaluation of Vehicle Muffler (자동차용 머플러의 피로수명평가를 위한 통계적 분석)

  • Choi, Ji-Hun;Lee, Yong-Jun;Yoon, Jin-Ho;Kang, Sung-Su
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.37 no.3
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    • pp.365-372
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    • 2013
  • In this study, a statistical method for evaluating the fatigue life of a vehicle muffler was used to obtain reliable fatigue data using a limited number of specimens. Cyclic bending tests were conducted using specimens manufactured to be exactly the same as the mufflers installed in cars that are currently in use. To estimate the fatigue life by comparing the data obtained during the fatigue tests, the most suitable probability density function for the normal, lognormal, and Weibull distributions was selected. A goodness-of-fit test was performed on the probability distributions, and then a Weibull distribution using the least square method was selected. By using the selected Weibull distribution, the probability-moment-life curves (P-M-N curve) reflecting the fatigue characteristics were suggested as the data for the reliable design of a muffler.

The Relation of Fracture Properties to Hydraulic Conductivity in Volcanic Rocks of the Northern Yosu Area (여수 북부지역 화산암의 단열특성과 수리전도도와의 관계)

  • 조성일;송무영;김경수;이은용
    • The Journal of Engineering Geology
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    • v.9 no.3
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    • pp.227-241
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    • 1999
  • Groundwater flow in a fractured rock mass is related to the geometric characteristics of the fracture system. The objective of this study aims to analyze the probabilistic density function of fracture properties md their relations to the hydraulic conductivity in volcanic rocks of the northern Yosu area. Fracture characteristics were investigated by core logging and acoustic televiewer logging in four boreholes and the hydraulic conductivity was obtained from the constant pressure injection and fall-off tests. The 303 fractures were grouped into three sets by their orientation and three fracture types by the degree of opening in aperture. As a result of the study, the hydraulic conductivity in the test section intersected by open and semi-open fractures, conductive fractures, and set 1 fractures was very high, while closed fractures did rarely affect the hydraulic conductivity. It was recognized that the hydraulic conductivity in a fractured rock mass was preferentially affected by the aperture size of conductive fractures and fracture intersection frequency and size, secondly.

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Study of Dominance-Diversity on Quercus mongolica Forests in Kangwon-do (강원도 신갈나무 군락의 우점도 다양성에 관한 연구)

  • 장규관;송호경
    • Korean Journal of Environment and Ecology
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    • v.11 no.2
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    • pp.160-165
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    • 1997
  • The objective of this study was to analyze dominance-diversity of Quercus mongolica community which characterize the boreal-temperate deciduous forest in Korea. Employing the releve method of Muller-Domboes and Ellenberg, 100 quadrats were sampled in the natural forest of Mt. Odae, Mt. Chumbong and Mt. Jungwang in Kangwon-do, where Quercus mongolica community is in the situation of climax or subclimax. On the basis of Braun-Blanquet method, field survey, which accounts ffor the characters of the species structure of Quercus mongolica community, was carried out between 1991 and 1994. Quercus mongolica community was relatively in a stable condition because of the even distribution of its various indices: the species diversity index was 0.4~1.2; the species richness index was 2~11; the evenness index was 0.6~0.9. The dominance-diversity curve were comparatively of lognormal distrivution with a gentle slope in all communities. The species sewuence curve for Quercus mongolica - Lindera obtusiloba community had relatively a steep slope, which meant that the evenness of the community would be low. The species sequence curve for Quercus mongolica - Carpinus cordata community had a slow slope, which meant that the evenness and the stability of the community would be high.

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A Comparative Study on the Analysis Methods of Degradation Data under Random Coefficient Model (확률계수 열화모형하에서 열화자료의 분석방법 비교 연구)

  • Jo Yu-Hui;Seo Sun-Geun;Lee Su-Jin
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2006.05a
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    • pp.117-123
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    • 2006
  • 최근 들어 전통적인 (가속)수명시험으로도 고 신뢰도 제품의 신뢰도 평가가 힘들므로 제품의 성능열화를 관측하여 수명 정보를 추정하는 열화 시험에 대한 관심이 증대되고 있다. 본 논문은 대수정규분포를 따르는 확률계수 열화율 모형 하에서 분포 모수 및 수명분포의 분위수를 추정하는 세 가지 통계적 분석법(근사적, 해석적, 수치적 방법)의 통계적 성능을 비교하였다. 즉, 다양한 수치실험상황 하에서 모형에 포함되는 (측정)오차의 영향을 고려하여 세 방법의 우월성을 조사하였다.

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A Study on Estimating of Probability Distribution and Mean Life of Bridge Member for Effective Maintenance of the Bdrige (효율적인 고속도로 교량의 유지관리를 위한 교량 부재별 수명분포 및 평균수명 산정 방안 연구)

  • Lee, Yongjun;Lee, Minjae
    • Korean Journal of Construction Engineering and Management
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    • v.17 no.4
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    • pp.57-65
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    • 2016
  • This study found a proper parametric life distribution based on maintenance history data of each bridge member under the jurisdiction of the Korea Expressway Corporation for the past 10 years by introducing the concept of reliability and suggested a measure to calculate the mean life and reliability of each bridge member using the parameter obtained with the maximum-likelihood classification. As a result of analyzing the exponential distribution, weibull distribution and log normal distribution being utilized frequently in order to find the parametric life distribution type which well described the life data of each bridge member, it was found that the log normal distribution and weibull distribution described the characteristics of the relevant life data the best. As a result of calculating the mean life of each bridge member based on the estimated parameter, the average life of the steel bridge coating was 18.51 years which was the longest, followed by the bridge deck as 17.56 years. The mean life of the drainage facility and the bridge bearing were 12.27 years and 12.57 years respectively, showing the shortest life.

Effect of turbulent motion on size distribution of suspended flocs (난류 거동이 점착성 부유사의 입도분포에 미치는 영향)

  • Byun, Jisun;So, Minwoo
    • Proceedings of the Korea Water Resources Association Conference
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    • 2021.06a
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    • pp.25-25
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    • 2021
  • 점착성 유사는 비점착성 유사에 비해 1차입자의 크기가 작아 1차입자간의 점착력이 중요한 역할을 하는 유사를 말한다. 점착성 유사는 비점착성 유사에 비해 크기가 작아 입자의 전자기적 점착력의 영향을 무시할 수 없으므로 점착력으로 인해 입자들은 서로 응집하는 동시에 입자들 간의 충돌에 의하여 파괴되는 과정을 거친다. 이러한 응집과 파괴가 지속되는 일련의 과정을 응집현상이라 한다. 점착성 유사는 응집과정을 통해 일차입자보다 크기가 크며 수십 개에서 수천 개의 일차입자와 물의 덩어리인 플럭을 형성하게 된다. 흐름 내 존재하는 플럭의 응집현상에 가장 지배적인 영향을 미치는 인자로 난류 거동이 알려진 바 있다. 본 연구에서는 난류 거동에 따른 점착성 플럭의 입도분포 변화를 살펴보고자 하였으며, 점착성 유사 입도분포 모형을 개발하였다. 수치모형의 개발은 확률과정(또는 추계과정)의 개념을 바탕으로 한다. 점착성 유사의 응집현상을 구성하는 응집과정은 다양한 연구를 통해 메커니즘들이 규명된 것과 달리 파괴과정은 난류로 인해 발생하며 무작위한 것으로 여겨진다. 무작위한 플럭의 파괴과정을 확률과정으로 가정하고 매개변수 중 하나를 대수정규분포를 따르는 난수로 고려하였다. 개발된 모형의 검증은 연안지역에서 점착성 플럭의 거동을 측정한 연구결과와의 비교를 통해 수행하였으며, 흐름 유속의 연직분포와 유사 농도의 연직분포, 응집현상 이후 플럭의 평형크기와 입도분포가 모두 합리적으로 계산되는 것이 확인되었다. 더불어 모의 결과에서는 대수정규분포를 따르는 동일한 난수를 적용하였음에도 불구하고 하상으로부터 거리가 가까워짐에 따라 플럭입도분포가 단봉분포(Unimodal Distribution)와 이봉분포(Bimodal Distribution)가 모두 계산되는 것으로 나타났다. 이는 모형의 개발과정에서 플럭의 가능 최대 크기를 콜모고로브 길이규모로 제한한 것과 관련이 있다. 난류 흐름 내 존재하는 플럭의 크기가 응집현상을 통해 난류의 콜모고로브 길이규모까지 성장하는 경우, 난류의 전단응력이 급격하게 증가하여 파괴과정이 활발해지고 응집과정이 저하된다는 것은 널리 알려진 사실이다. 이러한 사실을 바탕으로 플럭의 가능최대 크기를 콜모고로브 길이규모로 제한하였으며, 하상으로부터의 거리에 따라 콜모고로브 길이규모의 변화로 인해 콜모고로브 길이규모 부근에서 하나의 최빈값이 추가로 나타나는 것으로 이해된다. 수치모의 결과로부터 얻어진 콜모고로브 길이규모와 입도분포 형태의 상관관계를 보다 정확하게 이해하기 위해 실측 자료들을 검토해 본 결과, 균질한 재료를 이용한 실험실 실험결과에서 플럭 이봉분포의 최빈값이 콜모고로브 길이규모와 일치하는 것이 확인되었다. 연안지역에서 측정을 수행한 자료들에서도 이봉분포 또는 다봉분포와 콜모고로브 길이 규모와의 상관성을 찾아볼 수 있었다.

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