• 제목/요약/키워드: probabilistic sensitivity

검색결과 216건 처리시간 0.031초

Probabilistic sensitivity of base-isolated buildings to uncertainties

  • Gazi, Hatice;Alhan, Cenk
    • Smart Structures and Systems
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    • 제22권4호
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    • pp.441-457
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    • 2018
  • Characteristic parameter values of seismic isolators deviate from their nominal design values due to uncertainties and/or errors in their material properties and element dimensions, etc. Deviations may increase over service life due to environmental effects and service conditions. For accurate evaluation of the seismic safety level, all such effects, which would result in deviations in the structural response, need to be taken into account. In this study, the sensitivity of the probability of failure of the structures equipped with nonlinear base isolation systems to the uncertainties in various isolation system characteristic parameters is investigated in terms of various isolation system and superstructure response parameters in the context of a realistic three-dimensional base-isolated building model via Monte Carlo Simulations. The inherent record-to-record variability nature of the earthquake ground motions is also taken into account by carrying out analyses for a large number of ground motion records which are classified as those with and without forward-directivity effects. Two levels of nominal isolation periods each with three different levels of uncertainty are considered. Comparative plots of cumulative distribution functions and related statistical evaluation presented here portray the potential extent of the deviation of the structural response parameters resulting from the uncertainties and the uncertainty levels considered, which is expected to be useful for practicing engineers in evaluating isolator test results for their projects.

복합재 미익 구조의 신뢰성 기반 확률론적 구조해석 (The Reliability-Based Probabilistic Structural Analysis for the Composite Tail Plane Structures)

  • 이석제;김인걸
    • 한국군사과학기술학회지
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    • 제15권1호
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    • pp.93-100
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    • 2012
  • In this paper, the deterministic optimal design for the tail plane made of composite materials is conducted under the deterministic loading condition and compared with that of the metallic materials. Next, the reliability analysis with five random variables such as loading and material properties of unidirectional prepreg is conducted to examine the probability of failure for the deterministic optimal design results. The MATLAB programing is used for reliability analysis combined with FEA S/W(COMSOL) for structural analysis. The laminated composite is assumed to the equivalent orthotropic material using classical laminated plate theory. The response surface methodology and importance sampling technique are adopted to reduce computational cost with satisfying the accuracy in reliability analysis. As a result, structural weight of composite materials is lighter than that of metals in deterministic optimal design. However, the probability of failure for the deterministic optimal design of the tail plane structures is too high to be neglected. The sensitivity of each variable is also estimated using probabilistic sensitivity analysis to figure out which variables are sensitive to failure. The computational cost is considerably reduced when response surface methodology and importance sampling technique are used. The study of the computationally inexpensive method for reliability-based design optimization will be necessary in further work.

몬테카를로시뮬레이션 기법을 이용한 붕괴 암반사면의 확률론적 안정해석 및 민감도 분석 (Probabilistic Stability and Sensitivity Analysis for a Failed Rock Slope using a Monte Carlo Simulation)

  • 박성욱;박혁진
    • 지질공학
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    • 제20권4호
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    • pp.437-447
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    • 2010
  • 확률론적 해석기법은 사면안정해석을 포함한 다양한 지질공학적인 문제에 내재하는 불확실성을 고려할 수 있는 효과적인 방안으로서 유용한 것으로 알려져 있다. 본 연구에서는 확률변수에 대한 무작위 추출을 통해 상태함수인 한계평형식의 안전율을 반복하여 구하는 몬테카를로시뮬레이션 기법을 이용하여 2개의 암반사면에 대해 확률론적 안정해석을 수행하였다. 본 연구에서 사용된 JRC와 JCS 같은 강도정수 등의 확률변수와 사면의 제원은 선행연구과정을 통해 도출된 값을 사용하였으며, 상태함수는 Barton의 경험식을 활용하였다. 본 연구에서는 각 사면별 파괴확률을 계산하고 이에 대한 민감도 및 신뢰성해석을 수행하였다. 특히 기존 결정론적 방법과의 비교와 샘플링 추출 기법에 대한 분석을 수행하였으며 분석결과 기준값보다 높은 파괴확률이 산정되어 사면의 붕괴이력과 부합되는 결과가 도출되었다. 또한 결정론적인 방법에 비해 변동성이 낮은 결과가 도출되어 해석의 신뢰성이 높은 것으로 나타났다.

몬테카를로법을 이용한 고온 내압 요소의 크리프 균열성장 파손확률 평가 (Evaluation of Creep Crack Growth Failure Probability for High Temperature Pressurized Components Using Monte Carlo Simulation)

  • 이진상;윤기봉
    • 한국안전학회지
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    • 제21권1호
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    • pp.28-34
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    • 2006
  • A procedure of estimating failure probability is demonstrated for a pressurized pipe of CrMo steel used at $538^{\circ}C$. Probabilistic fracture mechanics were employed considering variations of pressure loading, material properties and geometry. Probability density functions of major material variables were determined by statistical analyses of implemented data obtained by previous experiments. Distributions of the major variables were reflected in Monte Carlo simulation and failure probability as a function of operating time was determined. The creep crack growth life assessed by conventional deterministic approach was shown to be conservative compared with those obtained by probabilistic one. Sensitivity analysis for each input variable was also conducted to understand the most influencing variables to the residual life analysis. Internal pressure, creep crack growth coefficient and creep coefficient were more sensitive to failure probability than other variables.

Reliability sensitivity analysis of dropped object on submarine pipelines

  • Edmollaii, Sina Taghizadeh;Edalat, Pedram;Dyanati, Mojtaba
    • Ocean Systems Engineering
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    • 제9권2호
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    • pp.135-155
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    • 2019
  • One of the safest and the most economical methods to transfer oil and gas is pipeline system. Prediction and prevention of pipeline failures during its assessed lifecycle has considerable importance. The dropped object is one of the accidental scenarios in the failure of the submarine pipelines. In this paper, using Monte Carlo Sampling, the probability of damage to a submarine pipeline due to a box-shaped dropped object has been calculated in terms of dropped object impact frequency and energy transfer according to the DNV-RP-F107. Finally, Reliability sensitivity analysis considering random variables is carried out to determine the effect intensity of each parameter on damage probability. It is concluded that impact area and drag coefficient have the highest sensitivity and mass and add mass coefficient have the lowest sensitivity on probability of failure.

축방향 관통균열이 존재하는 증기발생기 세관의 파손확률 예측 (Failure Probability Estimation of Steam Generator Tube Containing Axial Through-Wall Crack)

  • 문성인;이상민;배성렬;장윤석;황성식;김정수;김영진
    • 한국정밀공학회지
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    • 제22권10호
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    • pp.137-143
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    • 2005
  • The integrity of steam generator tubes in nuclear power plant should be maintained sufficiently during operation. For sake of this, complicated assessment procedures are required such as fracture mechanics analysis, etc. The integrity assessment of tubes has been performed by using conventional deterministic approaches while there are many uncertainties to carry out a rational evaluation. In this respect, probabilistic integrity assessment is considered as an alternative method for integrity assessment. The objectives of this study are to develop an integrity assessment system based on probabilistic fracture mechanics and to predict the failure probability of steam generator tubes containing an axial through-wall crack. The developed integrity assessment system consists of three evaluation modules, which apply first order reliability method, second order reliability method and Monte Carlo simulation method, respectively. The system has been applied to predict failure probability of steam generator tubes and the estimation results showed a promising applicability of the probabilistic integrity assessment system.

전과정평가에 있어 확률론적 건강영향분석기법 적용 -Part I : 전과정평가에 있어 확률론적 위해도 분석기법 적용방안에 관한 연구 (Application of Probabilistic Health Risk Analysis in Life Cycle Assessment -Part I : A General Framework for Uncertainty and Variability Analysis of Health Risk in Life Cycle Assessment)

  • 최광수;박재성
    • 환경영향평가
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    • 제9권3호
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    • pp.185-202
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    • 2000
  • Uncertainty and variability in Life Cycle Assessment(LCA) have been significant key issues in LCA methodology with techniques in other research area such as social and political science. Variability is understood as stemming from inherent variations in the real world, while uncertainty comes from inaccurate measurements, lack of data, model assumptions, etc. Related articles in this issues were reviewed for classification, distinguish and elaboration of probabilistic/stochastic health risk analysis application in LCA. Concept of focal zone, streamlining technique, scenario modelling and Monte Carlo/Latin Hypercube risk analysis were applied to the uncertainty/variability analysis of health risk in LCA. These results show that this general framework of multi-disciplinary methodology between probabilistic health risk assessment and LCA was of benefit to decision making process by suppling information about input/output data sensitivity, health effect priority and health risk distribution. There should be further research needs for case study using this methodology.

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단변수 차원 감소법을 이용한 제작 공차가 유도전동기 성능에 미치는 영향력 분석 (Analysis of the Effect of Manufacturing Tolerance on Induction Motor Performance by Univariate Dimension Reduction Method)

  • 이상균;강병수;백종현;김동훈
    • 한국자기학회지
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    • 제25권6호
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    • pp.203-207
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    • 2015
  • 본 논문에서는 전동기 제작과정에서 발생하는 제작공차가 유도전동기 성능에 미치는 영향력을 분석하기 위하여 확률론적 해석기법을 도입하였다. 단변수 차원 감소법을 사용하여 특정한 확률분포를 갖는 설계변수에 의해 발생하는 성능함수의 확률분포 특성을 예측하였다. 또한 확률성능함수의 평균과 분산의 민감도 정보를 도출함으로써 개별 설계변수의 임의성이 확률성능함수의 분포에 미치는 영향력을 분석하였다. 제안된 기법은 간단한 수학예제와 유도전동기 모델에 적용하여 그 효율성과 정밀도를 검증하였다.

몬테카를로 모사에 의한 용접 계면에서의 크리프 균열성장 파손 확률 평가 (Evaluation of Creep Crack Growth Failure Probability at Weld Interface Using Monte Carlo Simulation)

  • 이진상;윤기봉
    • Journal of Welding and Joining
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    • 제23권6호
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    • pp.61-66
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    • 2005
  • A probabilistic approach for evaluating failure risk is suggested in this paper. Probabilistic fracture analyses were performed for a pressurized pipe of a Cr-Mo steel reflecting variation of material properties at high temperature. A crack was assumed to be located along the weld fusion line. Probability density functions of major variables were determined by statistical analyses of material creep and creep crack growth data measured by the previous experimental studies by authors. Distributions of these variables were implemented in Monte Carlo simulation of this study. As a fracture parameter for characterizing growth of a fusion line crack between two materials with different creep properties, $C_t$ normalized with $C^*$ was employed. And the elapsed time was also normalized with tT, Resultingly, failure probability as a function of operating time was evaluated fur various cases. Conventional deterministic life assessment result was turned out to be conservative compared with that of probabilistic result. Sensitivity analysis for each input variable was conducted to understand the most influencing variable to the analysis results. Internal pressure, creep crack growth coefficient and creep coefficient were more sensitive to failure probability than other variables.

프리스트레스트 콘크리트 교량의 크리프와 건조수축효과의 민감도 해석 (Sensitivity Analysis of Creep and Shrinkage Effects of Prestressed Concrete Bridges)

  • 오병환;양인환
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 1998년도 가을 학술발표대회 논문집(III)
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    • pp.656-661
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    • 1998
  • This paper presents a method of statistical analysis and sensitivity analysis of creep and shrinkage effects in PSC box girder bridges. The statistical and sensitivity analyses are performed by using the numerical simulation of Latin Hypercube sampling. For each sample, the time-dependent structural analysis is performed to produce response data, which are then statistically analyzed. The probabilistic prediction of the confidence limits on long-term effects of creep and shrinkage is then expressed. Three measures are examined to quantify the sensitivity of the outputs to each of the input variables. These are rank correlation coefficient(RCC), partial rank correlation coefficient(PRCC) and standardized rank regression coefficient(SRRC) computed on the ranks of the observations. Probability band widens with time, which indicates an increase of prediction uncertainty with time. The creep model uncertainty factor and the relative humidity appear as the most dominant factors with regard to the model output uncertainty.

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