• Title/Summary/Keyword: 비선형 유한 요소 해석

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Geometrically Nonlinear Analysis of Stiffened Shell Structures Using the Assumed Strain Shell Element (가정변형도 쉘요소를 이용한 보강된 쉘구조의 기하학적 비선형해석)

  • 최명수;김문영;장승필
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.13 no.2
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    • pp.209-220
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    • 2000
  • For non-linear analysis of stiffened shell structures, the total Lagrangian formulation is presented based upon the degenerated shell element. Geometrically correct formulation is developed by updating the direction of normal vectors and taking into account second order rotational terms in the incremental displacement field. Assumed strain concept is adopted in order to overcome shear locking phenomena and to eliminate spurious zero energy mode. The post-buckling behaviors of stiffened shell structures are traced by modeling the stiffener as a shell element and considering general transformation between the main structure and the stiffener at the connection node. Numerical examples to demonstrate the accuracy and the effectiveness of the proposed shell element are presented and compared with references' results.

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Non-Prismatic Beam Element for Nonlinear Seismic Analysis of Steel Moment Frames II: Verification of Model (강재 모멘트 골조의 비선형 지진 해석을 위한 부등단면 보 요소 II: 모델의 검증)

  • Hwang, Byoung-Kuk;Cheon, Chung-Ha;Kim, Kee-Dong;Ko, Man-Gi
    • Journal of the Korean Society of Hazard Mitigation
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    • v.7 no.5
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    • pp.37-46
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    • 2007
  • This is the second of two companion papers that describe non-prismatic beam element for nonlinear seismic analysis of steel moment frames. Described in a companion paper is the formulation of a non-prismatic beam element to model the elastic and inelastic behavior of steel beams, which have reduced beam sections(RBS). This study describes the determination of yield surfaces, stiffness parameters, and hardening (or softening) rule parameters for RBS beam element. Analytical results of the RBS beam element show good correlation with test data and Finite Element Method(FEM) results.

FE Based Numerical Model to Consider Bond-slip Effect in Composite Beams (합성보의 부착슬립 효과를 고려한 유한요소 기반의 수치해석모델)

  • Kwak, Hyo-Gyoung;Hwang, Jin-Wook
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.23 no.1
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    • pp.95-110
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    • 2010
  • A numerical model to simulate bond-slip behavior of composite beam bridges is introduced in this paper. Assuming a linear bond stress-slip relation along the interface between the slab and girder, the slip behavior is implemented into a finite element formulation. Adopting the introduced model, the slip behavior can be taken account even in a beam element which is composed of both end nodes only. Governing equation of the slip behavior, based on the linear partial interaction theory, can be determined from the force equilibrium and a constant curvature distribution across the section of a composite beam. Since the governing equation for the slip behavior requires the moment values at both end nodes, the piecewise linear distribution of the constant bending moment in an element is assumed. Analysis results by the model are compared with numerical results and experimental values, and load-displacement relations of composite beams were then evaluated to verify the validity of the proposed model.

Adaptive Domain/Boundary Decomposition Method for Computational Efficiency of Thermo-Elasto-Viscoplastic Damage and Contact Analysis (열탄점소성 손상 및 접촉 해석의 효율화를 위한 적응성 영역/경계 분할 기법)

  • Kim, Sung-Jun;Kim, Jong-Il;Shin, Eui-Sup
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2010.04a
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    • pp.72-75
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    • 2010
  • 본 논문에서는 열탄점소성 손상과 접촉 문제의 효율적인 해석을 위하여 적응성 영역/경계 분할법을 제안하였다. 적응성 영역/경계 분할법은 시간 증분 또는 반복 기법 단계에서 열탄점소성 손상과 같은 재료 비선형성을 감안하여 부영역을 재설정하며, 접촉에 따른 경계 비선형성은 경계면을 통하여 부영역으로부터 독립적으로 분할한다. 분할된 각각의 부영역과 경계면을 기준으로 유한요소 정식화를 수행하며, 공유면 및 접촉 공유면의 연속 구속 조건을 처리하기 위하여 벌칙 함수 기법을 적용하였다. 결과적으로 재료 및 경계 비선형성은 일부 부영역과 접촉 경계면에서 계산되는 유한요소 행렬에 국한된다. 수치 실험을 통하여 적응성 해석 알고리듬의 기본적인 특성과 효율성 향상에 대하여 분석하였다.

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Failure Analysis of RC Cylindrical Structures using Layered Shell Element with a Pressure Node (압력절점을 갖는 적층쉘 요소에 의한 콘크리트 원통형 구조물의 파괴해석)

  • 송하원;방정용;변근주;최강룡
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.12 no.3
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    • pp.475-484
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    • 1999
  • 압력절점은 요소의 균등한 압력증분을 1개의 자유도로 갖는 절점이며, 유한요소의 하중-변위 평형방정식에 체적과 압력의 관계를 추가하여 한계압력 이후에서도 체적변화에 따른 압력증분을 직접적으로 제저할 수 있는 절점이다. 본 연구에서는 철근콘크리트의 평면 구성 방정식과 적층정식화에 적용한 쉘 요소에 압력절점을 추가하고 해석시 체적을 제어함으로써 철근콘크리트 원통형 구조에 대해 파괴까지의 극한내압 능력을 해석할 수 있는 체적제어 비선형 해석기법을 개발하였다. 본 논문에서 제안한 해석기법을 이용하여 철근콘크리트 원통형 구조물에 대하여 비선형 해석을 수행하여 한계압력과 한계압력 이후의 구조물의 거동을 예측하였으며 실험결과와 비교 검증하였다.

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Nonlinear Analysis of Dynamics of Beams with Special Boundary Conditions (특이 경계 조건을 갖는 보의 동적 비선형 해석)

  • 김정운;권영두
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.3
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    • pp.799-808
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    • 1991
  • 본 연구에서는 연속체 역학의 에너지 원리에서 출발하여, 동적 비선형 해석을 위한 유한요소 식들을 유도하고, 이를 이용하여 특이 경계조건을 갖는 고체의 대변위 동적 선형 현상과 비선형 현상에 관하여 연구하고자 한다.

Performance Assessment of Deteriorated Reinforced Concrete Bridge Columns (열화된 철근콘크리트 교각의 성능평가)

  • Kim, Tae-Hoon
    • Journal of the Earthquake Engineering Society of Korea
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    • v.15 no.5
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    • pp.45-54
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    • 2011
  • This paper presents a nonlinear finite element analysis procedure for the performance assessment of deteriorated reinforced concrete bridge columns. A computer program, named RCAHEST (Reinforced Concrete Analysis in Higher Evaluation System Technology), was used to analyze these reinforced concrete structures. Material nonlinearity is taken into account by comprising tensile, compressive and shear models of cracked concrete and a model of reinforcing steel. Advanced deteriorated material models are developed to predict behaviors of deteriorated reinforced concrete bridge columns. The proposed numerical method for the performance of damaged reinforced concrete bridge columns is verified by comparison with reliable experimental results.

A Nonlinear Truss Finite Element Model for Structures with Negative Poisson Effect Accompanied by Tensile Buckling (인장 좌굴 현상을 수반하는 음의 포아송 효과를 가지는 구조물 해석을 위한 비선형 트러스 유한요소 모델)

  • Tae-Wan Kim;Jun-Sik Kim
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.36 no.3
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    • pp.193-201
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    • 2023
  • In this study, a nonlinear truss finite element is developed to analyze structures with negative Poisson effect-induced tensile buckling. In general, the well-known buckling phenomenon is a stability problem under a compressive load, whereas tensile buckling occurs because of local compression caused by tension. It is not as well-known as classical buckling because it is a recent study. The mechanism of tensile buckling can be briefly explained from an energy standpoint. The nonlinear truss finite element with a torsional spring is formulated because the finite element has not been reported in the literature yet. The post-buckling analysis is then performed using the generalized displacement control method, which reveals that the torsional spring plays an important role in tensile buckling. Structures that mimic a negative Poisson effect can be constructed using such post-buckling behaviors, and one of the possible applications is a mechanical switch. The results obtained are compared to those of analytical solutions and commercial finite element analysis to assess the validity of the proposed finite element model. The numerical results show that the developed finite element model could be a viable option for the basic design of nonlinear structures with a negative Poisson effect.

Finite Element Analysis of Mechanical Ablation by Domain/Boundary Decomposition Method (영역/경계 분할법을 이용한 기계적 삭마의 유한요소 해석)

  • Kim, Jong-Il;Kim, Sung-Jun;Shin, Eui-Sup
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2010.04a
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    • pp.68-71
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    • 2010
  • 극심한 고온 및 고압 환경에 노출되기 쉬운 항공우주 구조물에서 발생하는 기계적 삭마 현상을 해석하기 위하여 영역/경계 분할법을 적용한 삭마 해석 모델을 제안하였다. 영역 및 경계는 상변화 현상에 의한 비선형 거동을 하는 삭마 부영역과 선형 거동을 하는 선형 열탄성 부영역, 공유면, 경계 공유면으로 분할하였다. 삭마 재료 내부의 열분해 반응은 엔탈피 방법을 이용하였으며, 표면 침식 반응은 공기역학적 전단 응력과 삭마 재료의 전단 강도를 기반으로 매칭 기법을 이용하였다. 화학적 및 열적 삭마는 고려하지 않았으며, 간단한 수치 해석을 통해서 기본적인 기계적 삭마 특성을 분석하였다.

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Evaluation of Behavior of Composite Single Lap Joints with Different Finite Element Models (유한요소 모델에 따른 복합재 단일겹치기 접착 조인트부의 거동 평가)

  • Kim, Jung-Seok;Yoon, Hyuk-Jin;Hwang, Jae-Yeon;Yoon, Ji-You;Lee, Seung-Hun
    • Journal of the Korean Society for Railway
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    • v.13 no.6
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    • pp.546-551
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    • 2010
  • In this paper, the strain distribution of the bond layer has been compared with the experimental data and analyzed according to the different mesh refinements and element types. The mesh density was changed along the longitudinal direction of adherend, the longitudinal direction of overlapped region, the vertical direction of adherend, the vertical direction of adhesive and the width direction of the joint. In addition, the effect of the different types of element was evaluated using soild, shell and plane strain element. The geometric nonlinear analysis was performed to consider the large deformation of the joint. From the numerical result, at least 2 elements were needed to achieve a reliable result as the solid element used. In case of shell element, the peel strain at x/c=1 showed 22.8% error compared with the experiment but the shear strain showed a good agreement with the experiment within 1.67% error.