• Title/Summary/Keyword: 불확실성 해석

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Development of Probabilistic Flood Risk Map Considering Uncertainty of Levee Break (하천제방 붕괴의 불확실성을 고려한 확률론적 홍수위험지도 개발)

  • Nam, Myeong-Jun;Lee, Jae-Young;Lee, Chang-Hee
    • Journal of Convergence for Information Technology
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    • v.9 no.11
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    • pp.125-133
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    • 2019
  • In this paper, probabilistic flood risk maps were produced for levee break caused by possible flood scenarios. The results of the previous studies were employed for flood stages corresponding to hydrological extreme event quantified uncertainties and then predicted the location of a levee breach. The breach width was estimated by combining empirical equation considered constant width and numerical modeling considered uncertainties on compound geotechnical component. Accordingly, probabilistic breach outflow was computed and probabilistic inundation map was produced by 100 runs of 2D inundation simulation based on reliability analysis. The final probabilistic flood risk map was produced by combining probabilistic inundation map based on flood hazard mapping methodology. The outcomes of the study would be effective in establishing specified emergency actin plan (EAP) and expect to suggest more economical and stable design index.

System Reliability Analysis Considering Correlation of Performances (성능의 상관관계를 고려한 시스템 신뢰성 해석)

  • Kim, Saekyeol;Lim, Woochul;Lee, Tae Hee
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.41 no.4
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    • pp.291-297
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    • 2017
  • Reliability analysis of a mechanical system has been developed in order to consider the uncertainties in the product design that may occur from the tolerance of design variables, uncertainties of noise, environmental factors, and material properties. In most of the previous studies, the reliability was calculated independently for each performance of the system. However, the conventional methods cannot consider the correlation between the performances of the system that may lead to a difference between the reliability of the entire system and the reliability of the individual performance. In this paper, the joint probability density function (PDF) of the performances is modeled using a copula which takes into account the correlation between performances of the system. The system reliability is proposed as the integral of joint PDF of performances and is compared with the individual reliability of each performance by mathematical examples and two-bar truss example.

Development of Seismic Fragility Curves for Slopes Using ANN-based Response Surface (인공신경망 기반의 응답면 기법을 이용한 사면의 지진에 대한 취약도 곡선 작성)

  • Park, Noh-Seok;Cho, Sung-Eun
    • Journal of the Korean Geotechnical Society
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    • v.32 no.11
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    • pp.31-42
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    • 2016
  • Usually the seismic stability analysis of slope uses the pseudostatic analysis considering the inertial force by the earthquake as a static load. Geostructures such as slope include the uncertainty of soil properties. Therefore, it is necessary to consider probabilistic method for stability analysis. In this study, the probabilistic stability analysis of slope considering the uncertainty of soil properties has been performed. The fragility curve that represents the probability of exceeding limit state of slope as a function of the ground motion has been established. The Monte Carlo Simulation (MCS) has been implemented to perform the probabilistic stability analysis of slope with pseudostatic analysis. A procedure to develop the fragility curve by the pseudostatic horizontal acceleration has been presented by calculating the probability of failure based on the Artificial Neural Network (ANN) based response surface technique that reduces the required time of MCS. The results showed that the proposed method can get the fragility curve that is similar to the direct MCS-based fragility curve, and can be efficiently used to reduce the analysis time.

A Study on Uncertainty of Risk of Failure Based on Gumbel Distribution (Gumbel 분포형을 이용한 위험도에 관한 불확실성 해석)

  • Heo Jun-Haeng;Lee Dong-Jin;Shin Hong-Joon;Nam Woo-Sung
    • Journal of Korea Water Resources Association
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    • v.39 no.8 s.169
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    • pp.659-668
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    • 2006
  • The uncertainty of the risk of failure of hydraulic structures can be determined by estimating the variance of the risk of failure based on the methods of moments, probability weighted moments, and maximum likelihood assuming that the underlying model is the Gumbel distribution. In this paper, the variance of the risk of failure was derived. Monte Carlo simulation was peformed to verify the characteristics of the derived formulas for various sample size, design life, nonexceedance probability, and variation coefficient. As the results, PWM showed the smallest relative bias and root mean square error than the others while ML showed the smallest ones for relatively large sample siBes regardless of design life and nonexceedance probability. Also, it was found that variation coefficient does not effect on the relative bias and relative root mean square error.

Damage Detection of Bridge Structures Considering Uncertainty in Analysis Model (해석모델의 불확실성을 고려한 교량의 손상추정기법)

  • Lee Jong-Jae;Yun Chung-Bang
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.19 no.2 s.72
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    • pp.125-138
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    • 2006
  • The use of system identification approaches for damage detection has been expanded in recent years owing to the advancements in data acquisition system andinformation processing techniques. Soft computing techniques such as neural networks and genetic algorithm have been utilized increasingly for this end due to their excellent pattern recognition capability. In this study, damage detection of bridge structures using neural networks technique based on the modal properties is presented, which can effectively consider the modeling uncertainty in the analysis model from which the training patterns are to be generated. The differences or the ratios of the mode shape components between before and after damage are used as the input to the neural networks in this method, since they are found to be less sensitive to the modeling errors than the mode shapes themselves. Two numerical example analyses on a simple beam and a multi-girder bridge are presented to demonstrate the effectiveness and applicability of the proposed method.

Surrogate Model-Based Global Sensitivity Analysis of Components of a Test Mock-Up Nuclear Containment Building subjected to Internal Pressure (내압을 받는 축소규모 원전 격납건물 구성요소의 대리모델 기반 전역 민감도 분석)

  • Son, Hoyoung;Lee, Jong-Ryun;Ju, Bu-Seog
    • Proceedings of the Korean Society of Disaster Information Conference
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    • 2023.11a
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    • pp.303-304
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    • 2023
  • 확률론적 위험성 평가는 하중, 재료특성 등과 같은 불확실성 인자를 고려하여 구조물의 안전성을 평가하는 기법이지만 모든 불확실성을 고려하는 것은 현실적으로 불가능하다. 또한 원전 격납건물은 콘크리트, 철근, 라이너, 텐던이 복잡하게 결합되어 있다. 따라서 전역민감도 분석을 통해 격납건물의 불확실성 인자 검토하고 선정하는 작업은 필요하다. 따라서 본 연구는 대리모델을 기반으로 축소규모 원전 격납건물의 전역 민감도 분석을 수행하고 격납건물의 주요 영향인자를 분석하고자 한다. 유한요소 해석 모델을 기반으로 대리모델의 학습데이터를 생성하였으며 구축된 대리모델의 성능지표를 분석하였을 때 높은 회귀성능을 갖는 것으로 판단된다. 대리모델을 기반으로 전역 민감도 분석을 수행한 결과 콘크리트의 인장균열이 발생하는 내압수준에서 민감도 지수는 콘크리트의 압축강도가 높지만, 전체적인 내압 구간에서 민감도 지수는 텐던의 탄성계수 및 항복강도가 높은 것으로 나타났다.

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A New Metric for Joint Effective Width Computation (새로운 결합유효폭 측정법)

  • Lee, Jeok-Sik
    • The KIPS Transactions:PartB
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    • v.8B no.5
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    • pp.565-572
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    • 2001
  • Analyzing functions with small values of the product of position and frequency uncertainties have many advantages in image processing and data compression. Until now, this values has been computed based on the uncertainty principle, but the computed frequency uncertainty is not practical the human visual filters which have on-zero peak response frequencies. A new metric for the frequency uncertainty is used to calculate a deviation about the frequency which has maximum response. The joint effective widths for various functions are derived. As the result of analysis, the joint uncertainty for many functions converges to 0.5 as the joint parameter increases. Furthermore. Gabor cosine function shows an excellent performance among the mentioned functions.

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Intensity-persistence day-frequency analysis of future extreme heat wave event using Bayesian method and uncertainty assessment (베이지안기법을 이용한 미래 폭염사상의 강도-지속기간-발생빈도 해석 및 불확실성 평가)

  • Lee, Okjeong;Lee, Jeonghoon;Kim, Sangdan
    • Proceedings of the Korea Water Resources Association Conference
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    • 2021.06a
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    • pp.355-355
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    • 2021
  • 극한 폭염사상은 지난 20세기 이후 점점 더 빈번하게 발생하고 있으며, 더 광범위한 지역에서 발생하고 있다. 이러한 폭염사상은 다가오는 지구 온난화 시대에서 그 강도가 더 강해지고 지속기간이 길어질 것으로 예상되고 있다. 본 연구에서는 극한강우에 대한 강우강도-지속기간-빈도(intensity-duration-frequency, IDF)곡선의 개념을 폭염사상에 적용하여 미래의 극심한 폭염사상에 대한 발생확률, 강도 및 지속날짜(heat wave intensity-persistence day-frequency, HPF) 간의 관계를 확인해보고자 한다. 또한 해당 모델의 불확실성은 베이지안 기법을 이용하여 분석하였다. 우리나라 6개 주요 지역(대관령, 서울, 대전, 대구, 광주, 부산)에 대해 16개의 미래 일 최대 기온 앙상블 자료를 이용하여 비정상성 HPF곡선을 적용하였다. 미래 극한 폭염 앙상블 결과를 분석한 결과, 2050년을 기준으로 지속기간 2일에 대해 극한 폭염의 강도가 RCP 4.5 이하 시나리오 기준 1.23 ~ 1.69 ℃ 범위에서 상승할 가능성이 높은 것으로 나타났으며, RCP 8.5 이하 시나리오 기준의 경우 1.15 ~ 1.96 ℃ 범위로 나타났다. 또한 HPF 모델의 매개변수 추정으로 인한 불확실성의 경우, 다양한 기후 모델의 변동성으로 인한 불확실성보다 크게 나타났다. 모델의 매개변수 추정에 따른 불확실성을 반영한 결과, 2010~2050년에 해당하는 폭염의 강도에 대한 delta change의 95% 신뢰구간은 RCP 4.5 이하에서 0.53 ~ 4.94 ℃, RCP 8.5 이하에서 0.89 ~ 5.57 ℃로 나타났다.

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Topology Optimization of Structures using Interval Finite Element Method (간격 유한요소해석을 이용한 구조물의 위상 최적화)

  • Lee, Dong-Kyu;Shin, Soo-Mi;Park, Sung-Soo
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.19 no.4 s.74
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    • pp.389-398
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    • 2006
  • Structural optimization design has been developed with finite element analysis using effective and fast computational technology. Especially topology optimization design has been recently often used since it yields an optimal topology as well as an optimal shape under satisfied constraints. In general in finite element analysis, it is assumed that the structural material properties such as Young's modulus and Poisson's ratio and the variable of applied loading are fixed with obvious values in structure. However practically these values may take uncertainties because of environmental effect or manufactural error of structures. Therefore static or dynamic analysis of the structures may make an error, then finally it may have an influence on qualify of optimal design. In this study, the topology optimization design of structure is carried out using so called the interval finite element method, and the analysis method Is proposed. The results are also validated by comparing with conventional topology optimization results of density distribution method and finite element analysis results. The present method can be used to predict the optimal topology of linear elastostatic structures with respect to structural uncertainty of behavior.

Quantile Regression-based regional frequency analysis techniques (Quantile-regression-based 지역빈도해석 기법)

  • Kang, Subin;Uranchimeg, Sumiya;Moon, Jangwon;Kwon, Hyun-Han
    • Proceedings of the Korea Water Resources Association Conference
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    • 2022.05a
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    • pp.404-404
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    • 2022
  • 효율적인 수자원 관리를 위해 빈도해석을 통한 수문 자료의 통계적 특성을 고려하여 정확한 확률강수량을 산정해야 한다. 지점빈도해석은 지점 자료만을 이용하여 확률강수량을 산정하기 때문에 정확도를 높이기 위해서는 자료 확충이 필요하지만, 지점별로 활용할 수 있는 자료가 제한적이며 지점마다 변동성이 크다. 지역빈도해석은 수문기상학적으로 동질한 주변 지점들의 자료를 모두 포함해서 빈도해석을 수행함으로써 지역에 대한 통합 결과를 제시하고 자료에 대한 신뢰성 확보가 가능하다. 일반적으로 빈도해석은 자료에 적합한 확률분포 기반으로 수행되지만 확률분포 선정과정에 따라 결과는 상이하다. 본 연구에서는 지역빈도해석에서 확률강수량 산정방법으로 Quantile Regression(QR)을 적용하였다. QR 기반의 빈도해석은 확률분포 아니라 자료 자체로 확률강수량을 산정하여 기존의 확률분포 기반의 빈도해석에서 발생했던 불확실성을 개선하였다. 또는, 확률강수량의 시간에 따른 변동성도 고려되어 바정상성 빈도해석도 가능하다. 최종적으로 본 연구에서 소개된 지역빈도해석 결과와 기존의 지역빈도해석 결과 비교 검증하였다.

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