• Title/Summary/Keyword: AFOSM

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Reliability Analysis of Ship′s Longitrdinal Strength for the Rational Ship Structural Design (선박구조설계 합리화를 위한 선체 종강도의 신뢰성 해석)

  • Oi-H. Kim;Byung-J. Kim
    • Journal of the Society of Naval Architects of Korea
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    • v.32 no.1
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    • pp.25-36
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    • 1995
  • The application of the reliability analysis is investigated as a probabilistic approach to the assessment of ship's structural strength and to the establishment of design format for longitudinal strength. Reliability analyses are carried out for 34 ships of tankers and bulk carriers built in HHI for some failure modes such as tensile yielding, compressive buckling and ultimate strength of hull girder. The safety assessment of each ship, the calculation of sensitivity factors and the derivation of target reliability index are performed. As results. the difference of reliability indices among ships is great for all modes. To provide more uniform levels of safety the establishment of new strength criteria using partial safety factors is performed. The partial safety factors for the design format are obtained according to the AFOSM method and the reliability-conditioned(RC) method. Finally, a design format using partial safety factors has been proposed. We could find out that new strength criteria can produce consistent reliability indices which are close to the target value.

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Risk Model for the Safety Evaluation of Dam and Levee: II. Application (댐 및 하천제방에 대한 위험도 해석기법의 개발 : II. 적용 예)

  • Han, Geon-Yeon;Lee, Jong-Seok
    • Journal of Korea Water Resources Association
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    • v.30 no.6
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    • pp.691-698
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    • 1997
  • The risk assessment model for dam and levee is applied to a river where two adjacent dams are located in the upstream of the watershed. "A" dam is proven to be safe with 200-year precipitation and unsafe with PMP condition, whereas "B" dam to be safe with 200-year precipitation and PMP condition. The computed risk considering the uncertainties of the runoff coefficient. initial water depth and relevant data of the dam and spillway turn out to be equivalent results in Monte-Carlo and AFOSM method. In levee risk model, this study addresses the uncertainty of water surface elevation by Manning's equation. Monte-Carlo simulation with the variations of Manning's roughness coefficient is calculated by assuming that it follows atriangular distribution. The model can be used for preparing flood risk maps, flood warning systems, and establishing nation's flood disaster protection plan.

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Design Sensitivity and Reliability Analysis of Plates (판구조물의 설계감도해석 및 신뢰성해석)

  • 김지호;양영순
    • Computational Structural Engineering
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    • v.4 no.4
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    • pp.125-133
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    • 1991
  • For the purpose of efficiently calculating the design sensitivity and the reliability for the complicated structures in which the structural responses or limit state functions are given by implicit form, the probabilistic finite element method is introduced to formulate the deterministic design sensitivity analysis method and incorporated with the second moment reliability methods such as MVFOSM, AFOSM and SORM. Also, the probabilistic design sensitivity analysis method needed in the reliability-based design is proposed. As numerical examples, two thin plates are analyzed for the cases of plane stress and plate bending. The initial yielding is defined as failure criterion, and applied loads, yield stress, plate thickness, Young's modulus and Poisson's ratio are treated as random variables. It is found that the response variances and the failure probabilities calculated by the proposed PFEM-based reliability method show good agreement with those by Monte Carlo simulation. The probabilistic design sensitivity evaluates explicitly the contribution of each random variable to probability of failure. Further, the design change can be evaluated without any difficulty, and their effect on reliability can be estimated quickly with high accuracy.

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A Reliability Analysis of Rigid Retaining Wall due to the Modes of Wall Movement (벽체변위에 따른 토류벽의 신뢰도해석)

  • Jae, Yeong-Su;Kim, Yong-Pil;Song, Yong-Seon
    • Geotechnical Engineering
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    • v.4 no.1
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    • pp.7-16
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    • 1988
  • The safety factor has been used widely and uniquely at present to check the safety of the structure . However, probability of failure would be logically attempted to check the reliability of the structure in future Coulomb's theory or Rankine's theory has been applied in practice to retaining earth structure in spite of the fact that the lateral earth pressure, which is the primary factor in the determination of wall structure, depends on the modes of wall movement . This study is concentrated on the two modes of , wall movement (active case rotation about bottom(AB) , active case rotation about top(AT)) of the overturning'failure of vertical wall with horizontal sand backfill . The static active earth pressure is determined by applying each of Coulomb's theory, Dubrova's redistribution theory and Chang's method The earthquake active earth pressure is determined by adding Seed and Whitman's earthquake pressure to the static earth pressure , On the condition that design variables are fixed with each of the above earth pressure, reliability is analyzed using the recently developed method of AFOSM (Advanced First Order Second Moment)

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Ship Structural Reliability Analysis by Probabilistic Finite Element Method (확률 유한요소법에 의한 선체 구조 신뢰성해석)

  • S.J. Yim;Y.S. Yang;J.H. Kim
    • Journal of the Society of Naval Architects of Korea
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    • v.28 no.2
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    • pp.241-250
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    • 1991
  • The reliability analysis for web frame of tanker is carried out by the probabilistic finite element method combined with the classical reliability method such as MVFOSM and AFOSM which can be used for calculating the probability of failure for the complicated structures in which the limit state equation is implicitly expressed. As random variables external load, elastic modulus, sectional moment of inertia and field stress are chosen and Parkinson's iteration algorithm in AFOSM is used for reliability analysis. By adding only the covariance data of the random variables to the input data set required for conventional finite element method, the present method can easily calculate the probability of failure at every element end as well as the covariances of structural reponses such as displacements at every element end and member forces at every element, even for the complicated ship structure.

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Flexural Reliability Assessment of PSC-I Girder Rail Bridge Under Operation (사용중 PSC-I 거더 철도 교량의 휨모멘트에 대한 신뢰도 분석)

  • Kim, Ki Hyun;Yeo, Inho;Sim, Hyoung-Bo
    • Journal of the Korean Society for Railway
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    • v.19 no.2
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    • pp.187-194
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    • 2016
  • It is necessary to determine reliability indexes of existing railway bridges prior to setting up a proper target reliability index that can be used to introduce a reliability based limit state design method to design practice. Reliability is evaluated for a six PSC-I girder railway bridge, which is one of many representative types of double-track railway bridges. The reliability assessment is carried out for an edge girder subjected to bending moment. In the assessment, the flexural resistance and the fixed-load effect were obtained using existing statistical values from previous research on the introduction of limit state design to road bridge design. On the other hand, the live-load effect was determined using statistical values obtained from field measurement for the Joong-ang corridor, on which heavy freight trains are frequently passing. The reliability assessment is performed by AFOSM(Advanced First Order Second Moment method) for the limit state equation, and a sensitivity analysis for the reliability is performed for each factor of the load and resistance effects.

Reliability Analysis of Final Settlement Using Terzaghi's Consolidation Theory (테르자기 압밀이론을 이용한 최종압밀침하량에 관한 신뢰성 해석)

  • Chae, Jong Gil;Jung, Min Su
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.28 no.6C
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    • pp.349-358
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    • 2008
  • In performing the reliability analysis for predicting the settlement with time of alluvial clay layer at Kobe airport, the uncertainties of geotechnical properties were examined based on the stochastic and probabilistic theory. By using Terzaghi's consolidation theory as the objective function, the failure probability was normalized based on AFOSM method. As the result of reliability analysis, the occurrence probabilities for the cases of the target settlement of ${\pm}10%,\;{\pm}25%$ of the total settlement from the deterministic analysis were 30~50%, 60%~90%, respectively. Considering that the variation coefficients of input variable are almost similar as those of past researches, the acceptable error range of the total settlement would be expected in the range of 10% of the predicted total settlement. As the result of sensitivity analysis, the factors which affect significantly on the settlement analysis were the uncertainties of the compression coefficient Cc, the pre-consolidation stress Pc, and the prediction model employed. Accordingly, it is very important for the reliable prediction with high reliability to obtain reliable soil properties such as Cc and Pc by performing laboratory tests in which the in-situ stress and strain conditions are properly simulated.

Importance Sampling Technique for System Reliability Analysis of Bridge Structures (교량구조의 체계 신뢰성 해석을 위한 중요도 표본추출 기법)

  • 조효남;김인섭
    • Computational Structural Engineering
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    • v.4 no.2
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    • pp.119-129
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    • 1991
  • This study is directed for the development of an efficient Importance Sampling Technique for system reliability analysis of bridge structures. Many methods have been proposed for structural reliability assessment such as the First-order Second-Moment Method, the Advanced Second-Moment Method, Monte Carlo Simulation, etc. The Importance Sampling Technique can be employed to obtain accurate estimates for the system reliability with reasonable computation effort. Based on the results of example analysis, it may be concluded that Importance Sampling Technique is a very effective tool for the system reliability analysis.

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Formulation of Fire Reliability Assessment Method for Structural Strength (화재 구조강도에 대한 신뢰성 평가방법의 정립)

  • 양영순;유원선;이상엽
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2004.04a
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    • pp.161-168
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    • 2004
  • This study describes the behavior and failure probability of basic structural member in case of fire for the research of safety assessment on onshore structure. Fire safety assessment can be done by comparing fire resistance of members with fire severity of heat load For more Practical applications, the commercial structural analysis program is linked with the in-house code and gets the limiting temperature by analyzing structural strength of member with elasto-plastic analysis and large deflection analysis. AFOSM method is utilized to obtain the failure probability against the fire. The examples of rather simple structures such as beams and plates are applied to explain and verify the procedure of fire safety assessment.

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Development of an Optimization Technique for Robust Design of Mechanical Structures (기계 구조의 강건 설계를 위한 최적화 기법의 개발)

  • Jeong, Do-Hyeon;Lee, Byeong-Chae
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.24 no.1 s.173
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    • pp.215-224
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    • 2000
  • In order to reduce the variation effects of uncertainties in the engineering environments, new robust optimization method, which considers the uncertainties in design process, is proposed. Both design variables and system parameters are considered as random variables about their nominal values. To ensure the robustness of performance function, a new objective is set to minimize the variance of that function. Constraint variations are handled by introducing probability constraints. Probability constraints are solved by the advanced first order second moment (AFOSM) method based on the reliability theory. The proposed robust optimization method has an advantage that the second derivatives of the constraints are not required. The suggested method is examined by solving three examples and the results are compared with those for deterministic case and those available in literature.