• Title, Summary, Keyword: 파괴확률

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Reliability Analysis for Estimations of the Probability of Pipe Breaking (파이프의 파괴확률 산정을 위한 신뢰성 해석)

  • Kwon, Hyuk-Jae;Lee, Cheol-Eung;Choi, Han-Kuy
    • Proceedings of the Korea Water Resources Association Conference
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    • pp.850-853
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    • 2008
  • 송수관이나 배수관은 계획된 필요유량을 특정 지점까지 안전하게 전달할 수 있도록 설계되지만 여러 가지원인으로 인하여 갑작스런 파열이나 균열이 일어난다. 파이프 파괴의 원인으로는 수격현상, 관의노화, 파이프 외부로부터의 충격, 흙의 상태, 그리고 파이프 설치시의 공사여건 등이 있다. 본 연구에서 여러 가지 요인들을 불확실성 인자로 가정하여 파이프의 파괴확률을 산정할 수 있는 신뢰성 해석 모형이 개발되었다. 상수관망의 설계 시 파이프의 두께를 산정하는 주 장력 공식을 이용하여 신뢰함수를 만들고 파이프의 파괴확률을 계산하였다. 신뢰함수를 구성하는 확률변수들 중 파이프의 내압에 대한 분포함수는 정규분포가 아닌 극치분포(Gumbel distribution)를 따른다는 것을 부정류 수치해석 결과로서 알 수 있었고 AFDA(Approximate Full Distribution Approach) 기법을 사용하여 파괴확률을 산정하였다. 신뢰성 모형을 이용하여 파이프의 두께, 직경, 허용응력, 그리고 파이프 내압에 따른 파괴확률을 정량적으로 산정할 수 있었다. 본 연구에서 개발된 신뢰성 해석모형을 이용하여 보다 안전하고 경제적인 송배수관의 설계기법을 구축할 수 있을 것이다.

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The Case Study on Risk Assessment and Probability of Failure for Port Structure Reinforced by DCM Method (심층혼합처리공법이 적용된 항만 구조물의 파괴확률과 위험도 평가에 관한 사례 연구)

  • Kim, Byung Il;Park, Eon Sang
    • Journal of the Korean Geosynthetics Society
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    • v.17 no.4
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    • pp.53-64
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    • 2018
  • In this study, the evaluation to probability of failure for risk assessment of port structures on DCM reinforced soils, where stability and risk assessment are increasing in importance, was performed. As a random variables affecting the risk of DCM improved ground, the design strength, superposition (overlap) of construction, strength of the natural ground, internal friction angle and unit weight of the modified ground were selected and applied to the risk assessment. In addition, the failure probability for the entire system under ordinary conditions and under earthquake conditions were analyzed. As a result, it was found that the highest coefficient of variation in the random variable for the risk assessment of the DCM improved ground is the design strength, but this does not have a great influence on the safety factor, ie, the risk of the system. The main risk factor for the failure probability of the system for the DCM reinforced soils was evaluated as horizontal sliding in case of external stability and compression failure in case of internal stability both at ordinary condition and earthquake condition. In addition, the failure probability for ordinary horizontal sliding is higher than that for earthquake failure, and the failure probability for ordinary compression failure is lower than that for earthquake failure. The ordinary failure probability of the entire system is similar to the failure probability on earthquake condition, but in this case, the risk of earthquake is somewhat higher.

Stability analysis of closely-spaced tunnel using RFEM (확률유한요소 해석에 의한 근접터널 안정성 분석)

  • Kim, Sang-Gyun
    • Journal of Korean Tunnelling and Underground Space Association
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    • v.10 no.4
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    • pp.349-360
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    • 2008
  • In this paper, the modeling procedure of random field with an elasto-plastic finite element algorithm and probability of failure on closely-spaced tunnel were investigated. Local average subdivision (LAS) method which can generate discrete random variables fast and accurately as well as change the resolution in certain region was used. And correlated value allocating and weighted average method were suggested to implement geometrical characteristics of tunnel. After the probability of failure on the test problem was thoroughly investigated using random finite element method, the results were compared with the deterministic strength reduction factor method and single random variable method. Of particular importance in this work, is the conclusion that the probability of failure determined by simplified probabilistic analysis, in which spatial variability is ignored by assuming perfect correlation, can be estimated from the safety factor determined by strength reduction factor method. Also, single random variable method can lead to unconservative estimates of the probability of failure.

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Seismic Failure Probability of the Korean Disaster Risk Fill Dams Estimated by Considering Freeboard Only (여유고만으로 추정된 국내 재해위험 저수지의 지진시 파괴확률)

  • Ha, Ik Soo;Lee, Soo Gwun;Lim, Jeong Yeul;Jung, Young Hoon
    • Journal of The Korean Society of Civil Engineers
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    • v.36 no.3
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    • pp.451-461
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    • 2016
  • The objective of this study is to illustrate the methods and procedures for estimating the failure probability of small fill dams subjected to earthquake events and to estimate the seismic failure probability of the Korean disaster risk fill dams where geotechnical information is not available. In this study, first of all, seismic failure probabilities of 7 disaster risk small fill dams, where geotechnical information is available, were evaluated using event tree analysis. Also, the methods and procedures for evaluating probabilities are illustrated. The relationship between dam height and freeboard for 84 disaster risk small dams, for which the safety diagnosis reports are available, was examined. This relationship was associated with the failure computation equation contained in the toolbox of US Army corps of engineers. From this association, the dam height-freeborard critical curve, which represents 'zero' failure probability, was derived. The seismic failure probability of the Korean disaster risk fill dams was estimated using the critical curve and the failure probabilities computed for 7 small dams.

Safety Analysis of Storm Sewer Using Probability of Failure and Multiple Failure Mode (파괴확률과 다중파괴유형을 이용한 우수관의 안전성 분석)

  • Kwon, Hyuk-Jae;Lee, Cheol-Eung
    • Journal of Korea Water Resources Association
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    • v.43 no.11
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    • pp.967-976
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    • 2010
  • AFDA (Approximate Full Distribution Approach) model of FORM (First-Order Reliability Model) which can quantitatively calculate the probability that storm sewer reach to performance limit state was developed in this study. It was defined as a failure if amount of inflow exceed the capacity of storm sewer. Manning's equation and rational equation were used to determine the capacity and inflow of reliability function. Furthermore, statistical characteristics and distribution for the random variables were analyzed as a reliability analysis. It was found that the statistical distribution for annual maximum rainfall intensity of 10 cities in Korea is matched well with Gumbel distribution. Reliability model developed in this study was applied to Y shaped storm sewer system to calculate the probability that storm sewer may exceed the performance limit state. Probability of failure according to diameter was calculated using Manning's equation. Especially, probability of failure of storm sewer in Mungyeong and Daejeon was calculated using rainfall intensity of 50-year return period. It was found that probability of failure can be significantly increased if diameter is decreased below the original diameter. Therefore, cleaning the debris in sewer pipes to maintain the original pipe diameter should be one of the best ways to reduce the probability of failure of storm sewer. In sewer system, two sewer pipes can flow into one sewer pipe. For this case, probability of system failure was calculated using multiple failure mode. Reliability model developed in this study can be applied to design, maintenance, management, and control of storm sewer system.

터빈로터의 확률론적 파괴역학 해석 기법에 관한 연구

  • 정성규;김현수;진태은;송기욱
    • Proceedings of the Korean Nuclear Society Conference
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    • pp.356-362
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    • 1998
  • 가동중인 터빈로터의 계속운전/보수/교체여부 등을 판단하기 위해 해외에서는 결정론적 방법외에 확률론적 파괴역학 해석방법을 이용하여 잔여수명을 평가하고 있다. 한편 국내에서는 현재까지 결정론적 방법을 주로 활용하고 있으며, 향후 확률론적 평가방법의 도입이 예상된다. 이러한 배경에서 본 논문에서는 터빈로터의 수명평가에 확률론적 파괴역학 해석기법을 이용하기 위한 기초연구로 터빈로터를 대상으로 응력해석, 결정론적 파괴해석 및 확률론적 파괴해석을 수행하였다.

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Evaluation of Failure Probability for Planar Failure Using Point Estimate Method (점추정법을 이용한 평면파괴의 파괴확률 신정)

  • Park, Hyuck-Jin
    • Tunnel and Underground Space
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    • v.12 no.3
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    • pp.189-197
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    • 2002
  • In recent years, the probabilistic analysis has been used in rock slope engineering. This is because uncertainty is pervasive in rock slope engineering and most geometric and geotechnical parameters of discontinuity and rock masses are involved with uncertainty. Whilst the traditional deterministic analysis method fails to properly deal with uncertainty, the probabilistic analysis has advantages quantifying the uncertainty in parameters. As a probabilistic analysis method, the Monte Carlo simulation has been used commonly. However, the Monte Carlo simulation requires many repeated calculations and therefore, needs much effort and time to calculate the probability of failure. In contrast, the point estimate method involves a simple calculation with moments for random variables. In this study the probability of failure in rock slope is evaluated by the point estimate method and the results are compared to the probability of failure obtained by Monte Carlo simulation method.

Slope Stability Analysis Considering Multi Failure Mode (다중파괴모드를 고려한 사면안정해석)

  • Kim, Hyun-Ki;Kim, Soo-Sam
    • Journal of the Korean Society for Railway
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    • v.14 no.1
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    • pp.24-30
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    • 2011
  • Conventional slope stability analysis is focused on calculating minimum factor of safety or maximum probability of failure. To minimize inherent uncertainty of soil properties and analytical model and to reflect various analytical models and its failure shape in slope stability analysis, slope stability analysis method considering simultaneous failure probability for multi failure mode was proposed. Linear programming recently introduced in system reliability analysis was used for calculation of simultaneous failure probability. System reliability analysis for various analytical models could be executed by this method. For application analysis for embankment, the results of this method shows that system stability of embankment calculate quantitatively.

점추정법을 이용한 암반사면의 파괴확률 산정

  • 박혁진;장범수;민경덕
    • Proceedings of the KSEEG Conference
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    • pp.165-168
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    • 2003
  • 최근 사면의 안정해석분야에서 자주 사용되고 있는 확률론적 해석 방법은 현장에서 획득 되는 자료들의 분산이 심하고 충분한 양의 자료가 획득되지 못할 경우 자료 내에 포함되는 불확실성과 가변성을 효과적으로 다룰 수 있는 방법 중의 하나로 인식되어 왔다. 그러나 대개 확률론적 해석 방법에서 이용되는 몬테카를로 시뮬레이션기법(Monte Carlo simulation method)은 파괴확률을 산정하기 위하여 수 많은 반복적인 계산과정이 요구되며 따라서 많은 시간과 노력이 필요하다는 단점을 가지고 있다. (중략)

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Probability Analysis of Rock Slope Stability using Zoning and Discontinuity Persistence as Parameters (사면의 구역 및 절리의 연장성을 고려한 암반사면의 안정성 확률해석)

  • Jang, Bo-An;Sung, Suk-Kyung;Jang, Hyun-Sic
    • The Journal of Engineering Geology
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    • v.20 no.2
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    • pp.155-167
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    • 2010
  • In analysis of slope stability, deterministic analysis which yields a factor of safety has been used until recently. However, probability of failure is considered as a more efficient method because it deals with the uncertainty and variability of rock mass. In both methods, a factor of safety or a probability of failure is calculated for a slope although characteristics of rock mass, such as characteristics of joints, weathering degree of rock and so on, are not uniform throughout the slope. In this paper, we divided a model slope into several zones depending on conditions of rock mass and joints, and probabilities of failure in each zone are calculated and compared with that calculated in whole slope. The persistence of joint was also used as a parameter in calculation of probability of failure. A rock slope located in Hongcheon, Gangwondo was selected and the probability of failure using zoning and persistence as parameter was calculated to confirm the applicability of model analysis.