• Title/Summary/Keyword: 확률 유한요소법

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A Study on Numerical Technique to Enhance In-Situ Applicability and to Overcome Uncertainty in Geo-Material Properties (현장 적용성 향상 및 지반재료 물성의 불확실성 극복을 위한 수치해석법 개발 기초연구)

  • Kim, Hyung-Mok;Synn, Joong-Ho;Inoue, Junya
    • Tunnel and Underground Space
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    • v.17 no.4
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    • pp.285-294
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    • 2007
  • Material properties of geomaterials are usually heterogeneous. And the limitted number of investigation for the subsurface material properties in terms of boreholes are not sufficient enough for identifying the heterogeneity. In most civil engineering work, pre-investigation results can be different from those by in-situ inspection during the construction work. With these points of view, a new analysis concept aiming to evaluate the uncertainty resulted from the heterogeneity of the geomaterial properties as well as to enhance a construction workability and design qualify by a prompt feedback of in-situ conditions was proposed. It was accomplished by linking the Element Free analysis and pre-developed stochastic methods represented by Karhunen-Loeve expansion. Simple ID problem was solved by the developed method, and its validity as well as the characteristic results by different stochastic methods were clarified.

Stochastic Simulation of Groundwater Flow in Heterogeneous Formations: a Virtual Setting via Realizations of Random Field (불균질지층내 지하수 유동의 확률론적 분석 : 무작위성 분포 재생을 통한 가상적 수리시험)

  • Lee, Kang-Kun
    • Journal of the Korean Society of Groundwater Environment
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    • v.1 no.2
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    • pp.90-99
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    • 1994
  • Heterogeneous hydraulic conductivity in a flow domain is generated under the assumption that it is a random variable with a lognormal, spatially-correlated distribution. The hydraulic head and the conductivity in a groundwater flow system are represented as a stochastic process. The method of Monte Carlo Simulation (MCS) and the finite element method (FEM) are used to determine the statistics of the head and the logconductivity. The second moments of the head and the logconductivity indicate that the cross-covariance of the logconductivity with the head has characteristic distribution patterns depending on the properties of sources, boundary conditions, head gradients, and correlation scales. The negative cross-correlation outlines a weak-response zone where the flow system is weakly responding to a stress change in the flow domain. The stochastic approach has a potential to quantitatively delineate the zone of influence through computations of the cross-covariance distribution.

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Collision Strength Assessment for Double Hull Type Product Carrier Using Finite Element Analysis (이중 선체 화학 운반선의 충돌 강도 평가)

  • Paik, Jeom-Kee;Lee, Jae-Myung;Lee, Kyung-Ern;Won, Suk-Hee;Kim, Chelo-Hong;Ko, Jae-Yong
    • Journal of Navigation and Port Research
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    • v.28 no.6
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    • pp.481-489
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    • 2004
  • Ship collisions and grounding continue to occur regardless of continuous efforts to prevent such accidents. With the increasing demand for safety at sea and for protection of the environment, it is of crucial importance to be able to reduce the probability of accidents, assess their consequences and ultimately minimize or prevent potential damages to the ships and the marine environment. Numerical simulations for actual collision problem are conducted with a special attention with respect to finite element size, fracture criteria and material properties, which require a careful consideration to improve the accuracy. A parametric analysis varying colliding speed, angle, design loading condition is conducted using nonlinear finite element analysis method for 46,00 dwt Product/chemical carrier. The relationship between the absorbed energy and indentation are derived quantitatively using the insights observed from this study, and a novel design concept for assessing the anti-collision performance are proposed.

Axial Compressive Strength of Rectangular Hollow Section Members (각형 강관의 축방향 압축강도에 관한 연구)

  • Jo, Jae Byung;Lim, Jeong Soon;Han, Choong Seong
    • Journal of Korean Society of Steel Construction
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    • v.10 no.2 s.35
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    • pp.153-160
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    • 1998
  • The sectional dimensions and initial crookedness of the RHS(rectangular hollow section, ${\boxe}-75{\times}75{\times}3.2,\;{\boxe}-100{\times}100{\times}4.2,\;{\boxe}-125{\times}125{\times}6.0$) were measured. The axial compressive strength tests for columns with slenderness $46{\sim}84$ were performed as well as stub tests and tensile tests. FEM analysis was also used. The measurement shows that the errors of sectional dimensions are negligible. For the column length corresponding to ${\lambda}=100$, the initial crookedness with the 2.5% probability estimated from the measured results is 1/490, 1/1121 1/1395 for each section respectively. The yield strengths obtained from tensile test are higher than the specified minimum value by more than 30%. The column test shows that the maximum axial resistances are almost same as, or a little higher than the FEM results and the specified strength curves of AISC Specification and Eurocode, when the maximum strengths from the stub tests are used as the yield strength of the steel. But the test results show much higher column strength than those specified in the Standard and Code, when the specified minimum yield strength of the steel is used.

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Structural Reliability Analysis via Response Surface Method (응답면 기법을 이용한 구조 신뢰성 해석)

  • Yang, Y.S.;Lee, J.O.;Kim, P.Y.
    • Journal of the Society of Naval Architects of Korea
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    • v.33 no.1
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    • pp.98-108
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    • 1996
  • In the reliability analysis of general structures, the limit state equations are implicit and cannot be described in closed form. Thus, sampling methods such as the Crude Monte-Carlo simulation, and probabilistic FEM are often used, but these methods are not so effective in view of computational cost, because a number of structural analysis are required and the derivatives must be calculated for probabilistic FEM. Alternatively the response surface approach, which approximates the limit state surface by using several results of structural analysis in the region adjacent to MPFP, could be applied effectively. In this paper, the central composite design, Bucher-Bourgund method and the approximation method using artificial neural network are studied for the calculation of probability of failure by the response surface method. Through the example comparisons, it is found that Bucher-Bourgund method is very effective and Neural network method for the reliability analysis is comparable with other methods. Specially, the central composite design method is found to be rational and useful in terms of mathematical consistency and accuracy.

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Optimal Design of Direct-Driven Wind Generator Using Dynamic Encoding Algorithm for Searches(DEAS) (DEAS를 이용한 직접구동형 풍력발전기 최적설계)

  • Jung, Ho-Chang;Lee, Cheol-Gyun;Kim, Eun-Su;Kim, Jong-Wook;Jung, Sang-Yong
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.22 no.10
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    • pp.24-33
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    • 2008
  • Optimal design of the direct-driven PM Wind Generator, combined with DEAS(Dynamic Encoding Algorithm for Searches) and FEM(Finite Element Method), has been proposed to maximize the Annual Energy Production(AEP) over the whole wind speed characterized by the statistical model of wind speed distribution. In particular, DEAS contributes to reducing the excessive computing time for the optimization process.

Response Variability of Reinforced Concrete Frame by the Stochastic Finite Element Method (확률유한요소법에 의한 철근 콘크리트 프레임의 응답변화도)

  • 정영수
    • Computational Structural Engineering
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    • v.7 no.1
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    • pp.125-134
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    • 1994
  • Response variability of reinforced concrete frame subjected to material property randomness has been evaluated with the aid of the finite element method. The spatial variation of Young's modulus is assumed to be a two-dimensional homogeneous stochastic process. Young's Modulus of concrete material has been investigated based on the uiaxial strength of concrete cylinder. Direct Monte Carlo simulation method is used to investigate the response of reinforced concrete frame due to the variation of Young's modulus with the Neumann expansion method and the pertubation method. The results by three analytic methods are compared with those by deterministic finite element analysis. These stochastic technique may be an efficient tool for evaluating the structural safety and reliability of reinforced concrete structures.

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Stochastic Finite Element Aalysis of Space Truss by Neumann Expansion Method (뉴우먼 확장법에 의한 3차원 트러스의 확률유한요소해석)

  • 정영수;김기정
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1993.04a
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    • pp.117-124
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    • 1993
  • The Neumann Expansion method has been used for evaluating the response variability of three dimensional truss structure resulting from the spatial variability of material properties with the aid of the finite element method, and in conjunction with the direct Monte Carlo simulation methods. The spatial variabilites are modeled as three-dimensional stochastic field. Yamazaki 〔1〕 has extended the Neumann Expansion method to the plane-strain problem to obtain the response variability of 2 dimensional stochastic systems. This paper presents the extension of the Neumann Expansion method to 3 dimensional stochastic systems. The results by the NEM are compared with those by the deterministic finite element analysis and by the direct Monte Carlo simulation method

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Reliability Analysis of Stochastic Finite Element Model by the Adaptive Importance Sampling Technique (적응적 중요표본추출법에 의한 확률유한요소모형의 신뢰성분석)

  • 김상효;나경웅
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1999.10a
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    • pp.351-358
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    • 1999
  • The structural responses of underground structures are examined in probability by using the elasto-plastic stochastic finite element method in which the spatial distributions of material properties are assumed to be stochastic fields. In addition, the adaptive importance sampling method using the response surface technique is used to improve simulation efficiency. The method is found to provide appropriate information although the nonlinear Limit State involves a large number of basic random variables and the failure probability is small. The probability of plastic local failures around an excavated area is effectively evaluated and the reliability for the limit displacement of the ground is investigated. It is demonstrated that the adaptive importance sampling method can be very efficiently used to evaluate the reliability of a large scale stochastic finite element model, such as the underground structures located in the multi-layered ground.

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A Study on Dynamic Response Analysis of the Cable-Stayed Bridge Using the Stochastic Finite Element Method (확률유한요소법을 이응한 사장교의 동적응답해석)

  • 한성호;정인수;김진홍;신재철
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2003.10a
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    • pp.365-372
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    • 2003
  • In this study, the program which determine the initial cable tension force by tile initial shape analysis for cable stayed bridge is developed. Also, DSFEMP(Dynamic Stochastic Finite Element Analysis Program) is developed to consider the variance of random variables at each step of dynamic response analysis, not use existing methods that apply to the theory of reliability at the final step of structural analysis. In addition, the output from the developed program was compared with the results from DMCSP(Direct Monte Carlo Simulation Program) to prove its validity.

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