• Title/Summary/Keyword: 확률론적 해석 방법

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Probabilistic Approach for Fighter Inlet Hammershock Design Pressure (전투기 흡입구 해머쇼크 설계압력에 대한 확률론적 접근법)

  • Bae, Hyo-gil;Lee, Hoon Sik;Kim, Yun-mi;Jeong, In Myon;Lee, SangHyo;Cho, Dae-yeong
    • Journal of Aerospace System Engineering
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    • v.13 no.5
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    • pp.72-78
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    • 2019
  • Inlet hammershock is the critical loads condition for designing the inlet duct structure of a fighter. The sudden flow reduction in engine compressor causes inlet hammershock with high pressure. The traditional method was used to combine extreme conditions (maximum speed, sea level altitude, and cold day) to analyze this compression wave inlet hammershock pressure. However, after the 90s there have been papers that presented the probabilistic approach for the inlet hammershock to achieve the appropriate design pressure. This study shows how to analyze the inlet hammershock pressure by making practical use of the Republic of Korea Air Force real flight usage data under probabilistic approach and then analyze approximately 30% decreased inlet hammershock pressure compared with the traditional valve.

Service Life Variation for RC Structure under Carbonation Considering Korean Design Standard and Design Cover Depth (국내설계기준과 피복두께를 고려한 RC 구조물의 탄산화 내구수명의 변동성)

  • Kim, Yun-Shik;Kwon, Seung-Jun
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.25 no.5
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    • pp.15-23
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    • 2021
  • In this paper, service life for RC(Reinforced Concrete) substructure subjective to carbonation was evaluated through deterministic and probabilistic method considering field investigation data and Design Code(KDS 14 20 40). Furthermore changes in service life with increasing COV(Coefficient of Variation) and equivalent safety index meeting the same service life were studied. From the investigation, the mean and its COV of cover depth were evaluated to 70.0 ~ 90.0 mm and 0.2, respectively. With intended failure probability of 10.0 % and 70 mm of cover depth, service life decreased to 137 years, 123 years, and 91 years with increasing COV of 0.05, 0.1, and 0.2, respectively. In the case of 80 mm of cover depth, it changes to 179 years, 161 years, and 120 years with increasing COV. The equivalent safety index meeting the same service life from deterministic method showed 1.66 ~ 3.43 for 70 mm of cover depth and 1.61 ~ 3.24 for 80 mm of cover depth, respectively. The various design parameters covering local environment and quality condition in deterministic method yields a considerable difference of service life, so that determination of design parameters are required for exposure conditions and parameter variation.

Study on the Characteristics of Infinite Slope Failures by Probabilistic Seepage Analysis (확률론적 침투해석을 통한 무한사면 파괴의 특성 연구)

  • Cho, Sung-Eun
    • Journal of the Korean Geotechnical Society
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    • v.30 no.10
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    • pp.5-18
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    • 2014
  • Many regions around the world are vulnerable to rainfall-induced slope failures. A variety of methods have been proposed for revealing the mechanism of slope failure initiation. Current analysis methods, however, do not consider the effects of non-homogeneous soil profiles and variable hydraulic responses on rainfall-induced slope failures. In this study, probabilistic stability analyses were conducted for weathered residual soil slopes with different soil thickness overlying impermeable bedrock to study the rainfall-induced failure mechanisms depending on the soil thickness. A series of seepage and stability analyses of an infinite slope based on one-dimensional random fields were performed to consider the effects of uncertainty due to the spatial heterogeneity of hydraulic conductivity on the failure of unsaturated slopes due to rainfall infiltration. The results showed that a probabilistic framework can be used to efficiently consider various failure patterns caused by spatial variability of hydraulic conductivity in rainfall infiltration assessment for a infinite slope.

Probabilistic Analysis for Stability Evaluation of Landslides Using Geo-spatial Information (지형공간 정보를 활용한 산사태 안정평가의 확률론적 해석)

  • Park, Byung-Soo
    • Journal of Korean Society for Geospatial Information Science
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    • v.14 no.3 s.37
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    • pp.55-62
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    • 2006
  • The purpose of the current research is to evaluate the possibility of landslides by using geo-spatial information system. Geological information has been summarized and stability analysis for infinite slopes has been conducted based on the force equilibrium. In addition, the analysis of landslides was performed based on probabilistic approach by using probabilistic variables which can include uncertainty of input parameters. For the purpose of testifing the applicability of the analysis method actual geological data from a construction site was obtained, thereby performing both a preliminary analysis for a large area and detailed analysis for a better result. As a result of the current analysis several issues such as the possibility of development of landslides, detailed analysis of where landslides are most likely to be developed were analysed by using two concepts of safety and index of failure probability.

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Seismic Behaviors of a Bridge System in the Stochastic Perspectives (추계론적 이론을 이용한 교량내진거동분석)

  • Mha, Ho-Seong
    • Journal of the Earthquake Engineering Society of Korea
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    • v.9 no.6 s.46
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    • pp.53-58
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    • 2005
  • Semi-analytical methodology to examine the dynamic responses of a bridge is developed via the joint probability density function. The evolution of joint probability density function is evaluated by the semi-analytical procedure developed. The joint probability function of the bridge responses can be obtained by solving the path-integral solution of the Fokker-Planet equation corresponding to the stochastic differential equations of the system. The response characteristics are observed from the joint probability density function and the boundary of the envelope of the probability density function can provide the maxima ol the bridge responses.

Probabilistic finite Element Analysis of Eigenvalue Problem- Buckling Reliability Analysis of Frame Structure- (고유치 문제의 확률 유한요소 해석)

  • 양영순;김지호
    • Computational Structural Engineering
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    • v.4 no.2
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    • pp.111-117
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    • 1991
  • The analysis method calculating the mean and standard deviation for the eigenvalue of complicated structures in which the limit state equation is implicitly expressed is formulated and applied to the buckling analysis by combining probabilistic finite element method with direct differential method which is a kind of sensitivity analysis technique. Also, the probability of buckling failure is calculated by combining classical reliability techniques such a MVFOSM and AFOSM. As random variables external load, elastic modulus, sectional moment of inertia and member length are chosen and Parkinson's iteration algorithm in AFOSM is used. The accuracy of the results by this study is verified by comparing the results with the crude Monte Carlo simulation and Importance Sampling Method. Through the case study of some structures the important aspects of buckling reliability analysis are discussed.

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Probabilistic Seepage Analysis by the Finite Element Method Considering Spatial Variability of Soil Permeability (투수계수의 공간적 변동성을 고려한 유한요소법에 의한 확률론적 침투해석)

  • Cho, Sung-Eun
    • Journal of the Korean Geotechnical Society
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    • v.27 no.10
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    • pp.93-104
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    • 2011
  • In this paper, a numerical procedure of probabilistic steady seepage analysis that considers the spatial variability of soil permeability is presented. The procedure extends the deterministic analysis based on the finite element method to a probabilistic approach that accounts for the uncertainties and spatial variation of the soil permeability. Two-dimensional random fields are generated based on a Karhunen-Lo$\grave{e}$ve expansion in a fashion consistent with a specified marginal distribution function and an autocorrelation function. A Monte Carlo simulation is then used to determine the statistical response based on the random fields. A series of analyses were performed to verify the application potential of the proposed method and to study the effects of uncertainty due to the spatial heterogeneity on the seepage behavior of soil foundation beneath water retaining structure with a single sheet pile wall. The results showed that the probabilistic framework can be used to efficiently consider the various flow patterns caused by the spatial variability of the soil permeability in seepage assessment for a soil foundation beneath water retaining structures.

Analysis of Probability Distribution of Tsunami Heights for Development of Tsunami Prediction Model (지진해일고 예측모델 개발을 위한 지진해일고 확률분포 분석)

  • Kim, Byung-Ho;Yu, Jae-Ung;Cho, Yong-Sik;Kwon, Hyun-Han
    • Proceedings of the Korea Water Resources Association Conference
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    • 2022.05a
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    • pp.268-268
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    • 2022
  • 지진해일은 발생빈도는 높지 않지만, 한 번 발생하게 되면 막대한 피해를 일으킬 수 있다. 우리나라에서는 1,900년대 4건의 지진해일이 기록되었으며, 이로 인해 동해안 및 남해안 등에 인명피해 및 재산피해가 발생하였다. 또한 2011년 동일본 지진해일로 인해 후쿠시마 원자력 발전소 변전설비가 침수됨에 따라 냉각수 공급이 중단되고 방화벽이 파괴되어 방사능이 누출되어 큰 피해로 연결되었다. 이러한 피해를 저감하기 위해 지진해일 수치해석과 확률론적 분석방법 등 다양한 방법을 활용한 연구가 국내외 적으로 활발히 수행되고 있다. 본 연구는 확률분포기반 지진해일고 예측모델 개발을 위해 수치해석을 수행하여 지진해일고(tsunami heights)를 산출하고 결과값에 대한 적절한 확률분포 분석을 실시하는 것이다. 지진해일고는 원자력발전소에서 취수구를 통한 냉각수 공급가능 여부를 판단하기 위해 최대 지진해일고(maximum tsunami height)와 최저 지진해일고(minimum tsunami height)로 구분하였다. 지진해일 수치해석은 지진원(단층매개변수) 조사, 조사된 지진원 중 지진해일 수치해석 case 선정을 위한 파향선추적기법(wave ray tracing) 수행, 선정된 지진원에 대해 로직트리(logic tree) 기법 적용, 로직트리를 적용한 지진원 case에 대한 수치해석 순서로 수행하였다. 수치해석을 통해 산출된 최대 및 최저 지진해일고 자료를 기반으로 확률분포형을 선정하기 위하여 확률분포별 적합성 평가를 실시하였다. 선정된 분포를 기준으로 처오름 및 처내림높이와 관련된 다양한 변수간의 의존관계를 파악하였다. 향후, 파악된 의존관계를 기반으로 예측모델을 개발하여 수치해석 결과와 연계함으로써 국내에 적용할 수 있는 확률론적 지진해일재해도를 제시할 수 있을 것으로 판단된다.

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Stochastic Nonlinear Dynamics of a Piecewise-Linear System via the Path-Integral Solution of the Fokker-Planck Equation (Fokker-Planck 방정식의 Path-Integral Solution을 이용한 구분적선형시스템의 비선형동적거동분석)

  • 마호성
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.12 no.2
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    • pp.251-264
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    • 1999
  • 본 연구에서는 추계론적 동적시스템의 응답거동을 예측할 수 있는 반해석적 절차를 개발하였으며, 이를 이용하여 구분적선형시스템의 동적거동특성을 확률적 영역에서 분석하였다. 반 해석적 절차는 시스템의 추계론적 미분방정식에 상응하는 Fokker-Planck 방정식을 path-integral solotion을 이용하여 풂으로써 구할 수 있다. 결합확률밀도함수의 시간에 따른 전개과정을 통하여 시스템의 동적 응답거동 특성의 예측과 분석을 하고 시스템의 거동에 미치는 외부노이즈의 영향 또한 조사하였다. 반 해석적 방법은 위상면 상에서 결합확률밀도 함수를 통하여 응답거동의 예측은 물론 거동특성에 대하여 적절한 정보를 제공하는 것을 밝혔다. 혼돈거동의 특성은 외부노이즈가 존재하는 상황에서도 시스템의 응답 안에 잔재하는 것을 밝혔다.

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Regional Frequency Analysis using the Artificial Neural Network Method - the Han River Basin (인공신경망 군집분석을 이용한 지역빈도해석에 관한 연구 - 한강유역을 중심으로)

  • Ahn, Hyunjun;Kim, Sunghun;Shin, Hongjoon;Heo, Jun-Haeng
    • Proceedings of the Korea Water Resources Association Conference
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    • 2016.05a
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    • pp.300-300
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    • 2016
  • 지점빈도해석은 해당 지점에서 기록된 수문자료를 바탕으로 확률론적 방법을 이용하여 해당 지역의 수문학적 현상을 해석하는 방법이다. 최근 이상 기후현상을 통해 극치 사상이 발생하고 있다. 이러한 극치 사상은 지점빈도해석을 이용하여 확률수문량을 추정하는데 많은 영향을 미친다. 특히 해당 지점의 표본 크기가 작을수록 이러한 영향은 좀 더 크게 반영 될 수 있다. 반면 지역빈도해석은 지점의 표본 수가 적거나 수문자료의 수집이 불가능한 미계측지점인 경우, 해당 지점과 수문학적으로 동질하다고 여겨지는 주변 지점들의 자료를 확보하여 확률수문량을 추정함으로써 상대적으로 지점빈도해석 보다 roubst한 추정값을 얻을 수 있다. 따라서 최근 확률수문량 산정 기법으로 지역빈도해석 방법에 관한 관심이 높아지고 있는 실정이다. 지역구분은 지역빈도해석이 지점빈도해석과 구분 될 수 있는 큰 특징이고 지역구분 결과 따라 지역의 표본 크기가 결정되기 때문에 수문학적으로 동질한 지역을 나누는 방법은 매우 중요하다고 볼 수 있다. 본 연구에서는 한강유역을 대상으로 인공신경망을 이용한 군집분석을 수행하고 구분된 지역을 이용하여 지역빈도 해석을 수행하였다.

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