• Title/Summary/Keyword: 비선형 유한요소해석 기법

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Nonlinear Structural Safety Assessment under Dynamic Excitation Using SFEM (추계론적 유한 요소법을 이용한 동하중을 받는 비선형 구조물의 안전성 평가)

  • Huh, Jungwon
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.13 no.3
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    • pp.373-384
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    • 2000
  • To assess the safety of nonlinear steel frame structures subjected to short duration dynamic loadings, especially seismic loading, a nonlinear time domain reliability analysis procedure is proposed in the context of the stochastic finite element concept. In the proposed algorithm, the finite element formulation is combined with concepts of the response surface method, the first order reliability method, and the iterative linear interpolation scheme. This leads to the stochastic finite element concept. Actual earthquake loading time-histories are used to excite structures, enabling a realistic representation of the loading conditions. The assumed stress-based finite element formulation is used to increase its efficiency. The algorithm also has the potential to evaluate the risk associated with any linear or nonlinear structure that can be represented by a finite element algorithm subjected to seismic loading or any short duration dynamic loading. The algorithm is explained with help of an example and verified using the Monte Carlo simulation technique.

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Local Nonlinear Static Analysis via Static Condensation (강성응축기법을 이용한 국부 비선형 정적 해석)

  • Shin, Han-Seop;Oh, Min-Han;Boo, Seung-Hwan
    • Journal of the Korean Society of Marine Environment & Safety
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    • v.27 no.1
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    • pp.193-200
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    • 2021
  • In this study, an analysis technique using static condensation is proposed for an efficient local nonlinear static analysis. The static condensation method is a model reduction method based on the degrees of freedom, and the analysis model is divided into a target part and a condensed part to be omitted. In this study, the nonlinear and linear parts were designated to the target and the omitted parts, respectively, and both the stiffness matrix and load vector corresponding to the linear part were condensed into the nonlinear part. After model condensation, the reduced model comprising the stiffness matrix and the load vector for the nonlinear part is constructed, and only this reduced model was updated through the Newton-Raphson iteration for an efficient nonlinear analysis. Finally, the efficiency and reliability of the proposed analysis technique were presented by applying it to various numerical examples.

Analysis Methods of Wrinkle Prediction for Thin Membrane (얇은 막재료의 주름해석 기법)

  • Bae, Hongsu;Woo, Kyeongsik
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.41 no.11
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    • pp.865-873
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    • 2013
  • In this paper, numerical methods for wrinkle prediction of thin membrane were studied by finite element analysis. Techniques using membrane and shell elements were applied for triangular membrane. In case of membrane element method, the wrinkling was accounted for by the wrinkle algorithm of property modification, which was implemented to ABAQUS as a user subroutine. In case of shell method, geometrically nonlinear post-buckling analysis was performed to obtain the wrinkle deformation explicitly. The wrinkling deformation was induced by seeding the mesh with a random geometric imperfection. The results were investigated focusing on the mesh convergence and the solution accuracy.

Large Deformation Inelastic Analysis of API-X80 Steel Linepipes (API-X80 강재 라인파이프의 대변형 비선형 해석)

  • Lee, Seung-Jung;Yoon, Young-Cheol;Cho, Woo-Yeon;Yu, Seong-Mun;Zi,, Goang-Seup
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.22 no.4
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    • pp.363-370
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    • 2009
  • We simulated large deformation and inelastic behavior of API-X80 steel linepipes using nonlinear finite element method. Gurson-Tvergaard-Needleman(GTN) model is employed for the development of the constitutive model of the steel. The GTN model is implemented in the form of the user-supplied material subroutine(UMAT) for the commercial software of ABAQUS. To calibrate the model parameters, we simulated the behavior of the uniaxial tension test using ABAQUS equipped with the developed GTN model. Using the set of the model parameters, we were able to capture the characteristics of the plastic buckling of API-X80 steel linepipes.

Static Non-linear Finite Element Analysis of Spatial Cable Networks (3차원 케이블망의 초기평형상태 결정 및 정적 비선형 유한요소해석)

  • 김문영;김남일;안상섭
    • Computational Structural Engineering
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    • v.11 no.1
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    • pp.179-190
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    • 1998
  • A geometrically nonlinear finite element formulation of spatial cable networks is presented using two cable elements. Firstly, derivation procedures of tangent stiffness and mass matrices for the space truss element and the elastic catenary cable element are summarized. The load incremental method based on Newton-Raphson iteration method and the dynamic relaxation method are presented in order to determine the initial static state of cable nets subjected to self-weights and support motions. Furthermore, static non-linear analysis of cable structures under additional live loads are performed based on the initial configuration. Challenging example problems are presented and discussed in order to demonstrate the feasibility of the present finite element method and investigate static nonlinear behaviors of cable nets.

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무한공간 전자장 해석을 위한 유한 및 경계요소합성법

  • 신판석
    • 전기의세계
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    • v.39 no.3
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    • pp.47-54
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    • 1990
  • 유한요소법과 경계요소법의 합성으로 전자계 해석을 하는 기법은 각 방법의 장점을 수용하여 경계가 없는 무한영역의 전자장을 분석하는 기법으로서 어떤 복잡하고 어려운 기하학적 구조의 문제도, 비선형이나 비균질성 재질의 문제도 쉽게 formulation이 가능하여 용이하게 해석할 수 있지만 전체 System matrix방정식이 비대칭이며 부분적인 full matrix를 형성하여 계산시간이 길어 진다는 단점도 있다. 적용예에서 보여 준 것과 같이 합성요소법은 그 해가 실제에 근사한 값을 가질수 있다고 생각되며, 계산시간을 단축시키기 위하여 직접법이나 반복법을 사용한 새로운 해법들이 도입되고 있다. 최근에는 system전체 node의 순서를 고려한 NDRA(Nested Dissection Reordering Algorithm)이 도입되고 있고, System matrix자체를 유한 요소법의 형태로 유지시키며 풀수 있는 방법으로 알려진 Absorbin 경계조건을 사용하여 전자파에 대한 해석을 하고 있다. 유한 및 경계요소 합성법은 초고압 옥외용 전력기기의 전자장 해석과 설계, 레이다나 안테나 등의 전자파 해석문제, 초전도 응용, 전력기기의 전자장해석과 설계, 우주공간에서의 전력전송문제 등을 쉽게 model화하여 적용할 수 있을 것이다.

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Development of Non-linear Finite Element Modeling Technique for Circular Concrete-filled Tube (CFT) (원형 콘크리트 충전 강관 (CFT)의 비선형 유한 요소 해석 기법 개발)

  • Moon, Jiho;Ko, Heejung;Lee, Hak-Eun
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.32 no.3A
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    • pp.139-148
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    • 2012
  • Circular concrete-filled tubes (CFTs) are composite members, which consists of a steel tube and concrete infill. CFTs have been used as building columns and bridge piers due to several advantages such as their strength-to-size efficiency and facilitation of rapid construction. Extensive experimental studies about CFT have been conducted for past decades. However experimental results alone are not sufficient to support the engineering of these components. Complementary advanced numerical models are needed to simulate the behavior of CFT to extend the experimental research and develop predictive tools required for design and evaluation of structural systems. In this study, a finite element modeling technique for CFT was developed. The confinement effects, and behavior of CFT subjected various types of loading predicted by the proposed finite element model for CFT were verified by comparing with test results.

Nonlinear Analysis of Reinforced Concrete Beams Shear-Strengthened with Fiber Reinforced Polymer Composites (FRP로 전단보강된 철근콘크리트 보의 비선형 해석)

  • Kim, Sang-Woo;Hwang, Hyun-Bok;Lee, Bum-Sik;Lee, Jung-Yoon
    • Proceedings of the Korea Concrete Institute Conference
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    • 2008.11a
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    • pp.835-838
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    • 2008
  • This study presents the nonlinear finite element analysis to predict the behavior of reinforced concrete (RC) beams shear-strengthened with fiber-reinforced polymer laminates (FRP). In this paper, modeling concept for the FRP is introduced to enable the use of finite element methods for the shear analysis of RC beams shear-strengthened with FRP composites. The numerical techniques are used to represent the FRP composite, bond properties between the FRP and the concrete, and the RC beams. According to the proposed modeling methods, a finite element analysis is performed using a two-dimensional nonlinear finite element analysis program, VecTor2, based on the Disturbed Stress Field Model (DSFM). To verify the application of the DSFM for the prediction of the behavior of the shear-critical beams strengthened with FRP composites in shear, a detailed comparison between experimental and numerical results for the response of the RC beams is carried out.

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Structural Performance Assessment of Damaged Reinforced Concrete Structures (손상된 철근콘크리트 구조물의 구조성능평가)

  • Kim, Tae-Hoon;Kim, Young-Jin
    • Journal of the Earthquake Engineering Society of Korea
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    • v.15 no.1
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    • pp.19-28
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    • 2011
  • In this study, nonlinear finite element analysis procedures are presented for the structural performance assessment of damaged reinforced concrete structures. A computer program, named RCAHEST (Reinforced Concrete Analysis in Higher Evaluation System Technology), for the analysis of reinforced concrete structures was used. Material nonlinearity is taken into account by comprising tensile, compressive and shear models of cracked concrete and a model of reinforcing steel. This paper defines a damage index based on the predicted inelastic behavior of reinforced concrete structures. The proposed numerical method for the structural performance of damaged reinforced concrete structures is verified by comparison with reliable experimental results.

Assessment of the Internal Pressure Fragility of the Wolsung Unit 1 Containment Building using Nonlinear Finite Element Analysis (비선형 유한요소 해석을 이용한 월성1호기 격납건물의 내압취약도 평가)

  • Hahm, Dae-Gi;Choi, In-Kil;Lee, Hong-Pyo
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2010.04a
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    • pp.653-656
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    • 2010
  • 월성 1호기 격납건물에 대하여 극한내압하중에 대한 확률론적 취약도 평가를 수행하였다. 격납건물 성능의 불확실성은 가동중 검사 결과를 통해 얻어진 재료 물성치 중앙값과 텐던 긴장력 중앙값을 적용하여 고려하였다. 격납건물은 개구부를 고려하여 3차원 유한요소로 모델링하였으며, 확률론적 취약도 평가를 위하여 대규모의 비선형 유한요소 해석 모델을 적용하기에 적합한 효율적인 취약도 평가 기법을 개발하였다. 월성 1호기 격납건물에 대한 취약도 평가 결과, 벽체 중단부가 극한내압발생으로 인한 방사능물질 누출에 가장 취약한 것으로 나타났으며, 중앙값 성능은 약 55psi, 고신뢰도 저파괴 파괴확률값인 HCLPF(High Confidence Low Probability of Failure)는 약 29psi를 나타내었다.

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