• 제목/요약/키워드: Nonlinear Finite Element Method

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복합재 적층셸의 비선형 수치해석 및 실험 (Nonlinear Numerical Analysis and Experiment of Composite Laminated Shell)

  • 조원만;이영신;윤성기
    • 대한기계학회논문집
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    • 제17권8호
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    • pp.2051-2060
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    • 1993
  • A finite element program using degenerated shell element was developed to solve the geometric, material and combined nonlinear behaviors of composite laminated shell. The total Lagrangian method was implemented for geometric nonlinear analysis. The material nonlinear behavior was analyzed by considering the matrix degradation due to the progressive failure in the matrix and matrix-fiber interface after initial failure. The result of the geometric nonlinear analysis showed good agreement with the other exact and numerical solutions. The results of the combined analyses considered both geometric and material nonlinear analyses were compared with the experiments in which internal pressure was applied to the filament wound antisymmetric tubes.

비선형 유한요소법에 의한 탄성받침의 이차원 해석 (2 Dimensional Nonlinear Finite Element Analysis for Layered Elastomeric Bearings)

  • 박문호;김진규;이성준
    • 한국산업융합학회 논문집
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    • 제3권4호
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    • pp.329-336
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    • 2000
  • A geometric and material nonlinear finite element analysis is developed for the layered elastomeric bearings. In this study, a mixed variational approach with separate variables is used to describe the displacement and volume change of rubber. To represent finely deformed behavior, Kirchoff stress tensors are used and converted Eulerian stress tensors to describe real physical meanings. Newton's method is utilized to solve the governing nonlinear finite element equations. Numerical test are performed in the case of compression and shear to verify the theory and to illustrate the application of this analysis. And the results of this study were compared to the results of Moore's discrete finite element analysis.

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3차원 설계 영역에서의 요소 연결 매개법을 이용한 위상 최적 설계 (Topology Optimization Using the Element Connectivity Parameterization Method in Three Dimensional Design Domain)

  • 윤길호;김윤영;정영수
    • 대한기계학회논문집A
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    • 제29권7호
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    • pp.990-997
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    • 2005
  • The objective of this paper is to present the element connectivity parameterization (ECP) fur three dimensional problems. In the ECP method, a continuum structure is viewed as discretized finite elements connected by zero-length elastic links whose stiffness values control the degree of inter-element connectivity. The ECP method can effectively avoid the formation of the low-density unstable elements. These elements appear when the standard element density method is used for geometrical nonlinear problems. In this paper, this ECP method developed fur two-dimensional problems is expanded to the design of three-dimensional geometrical nonlinear structures. Among others, the automatic procedure converting standard finite element models to the models suitable for the ECP approach is developed and applied for optimization problems defined on general three-dimensional design domains.

강건 절점위치 유한요소법을 이용한 수중 예인 케이블의 비선형 거동해석 (Nonlinear Analysis of Underwater Towed Cable Using Robust Nodal Position Finite Element Method)

  • 이은택;고광수;안형택;김성일;천승용;김정석;이병희
    • 대한조선학회논문집
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    • 제53권5호
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    • pp.388-399
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    • 2016
  • A motion analysis of an underwater towed cable is a complex task due to its nonlinear nature of the problem. The major source of the nonlinearity of the underwater cable analysis is that the motion of the cable involves large rigid-body motion. This large rigid-body motion makes difficult to use standard displacement-based finite element method. In this paper, the authors apply recently developed nodal position-based finite element method which can deal with the geometric nonlinearity due to the large rigid-body motion. In order to enhance the stability of the large-scale nonlinear cable motion simulation, an efficient time-integration scheme is proposed, namely predictor/multi-corrector Newmark scheme. Three different predictors are introduced, and the best predictor in terms of stability and robustness for impulsive cable motion analysis is proposed. As a result, the nonlinear motion of underwater cable is predicted in a very efficient manner compared to the classical finite element of finite difference methods. The efficacy of the method is demonstrated with several test cases, involving static and dynamic motion of a single cable element, and also under water towed cable composed of multiple cable elements.

Metal forming analysis using meshfree-enriched finite element method and mortar contact algorithm

  • Hu, Wei;Wu, C.T.
    • Interaction and multiscale mechanics
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    • 제6권2호
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    • pp.237-255
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    • 2013
  • In this paper, a meshfree-enriched finite element method (ME-FEM) is introduced for the large deformation analysis of nonlinear path-dependent problems involving contact. In linear ME-FEM, the element formulation is established by introducing a meshfree convex approximation into the linear triangular element in 2D and linear tetrahedron element in 3D along with an enriched meshfree node. In nonlinear formulation, the area-weighted smoothing scheme for deformation gradient is then developed in conjunction with the meshfree-enriched element interpolation functions to yield a discrete divergence-free property at the integration points, which is essential to enhance the stress calculation in the stage of plastic deformation. A modified variational formulation using the smoothed deformation gradient is developed for path-dependent material analysis. In the industrial metal forming problems, the mortar contact algorithm is implemented in the explicit formulation. Since the meshfree-enriched element shape functions are constructed using the meshfree convex approximation, they pose the desired Kronecker-delta property at the element edge thus requires no special treatments in the enforcement of essential boundary condition as well as the contact conditions. As a result, this approach can be easily incorporated into a conventional displacement-based finite element code. Two elasto-plastic problems are studied and the numerical results indicated that ME-FEM is capable of delivering a volumetric locking-free and pressure oscillation-free solutions for the large deformation problems in metal forming analysis.

비선형 유한요소해석을 이용한 철근콘크리트 구조물의 내화성능평가 (Fire Endurance Estimate of Reinforced Concrete Structure Using Nonlinear Finite Element Method)

  • 변순주;임정순;황지욱
    • 한국방재학회 논문집
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    • 제6권1호
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    • pp.17-27
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    • 2006
  • 화재동안 구조물의 복잡한 거동을 이해하기란 쉽지 않다 때문에 화재이후의 철근콘크리트 구조물의 잔류 강도를 평가하는 것은 매우 힘든 일이다. 그러나 교통시설의 화재로 인한 피해는 매우 크므로 화재에 대한 안전성 확보는 결코 간과해서는 안 될 중요한 요소이다. 따라서 이런 큰 피해를 줄이기 위한 철근콘크리트 구조물에 대한 정확한 내화성 평가 방법이 절실히 요구된다. 본 연구에서는 철근콘크리트 구조물의 내화성 평가를 위한 비선형 유한요소해석방법의 유효성을 증명하였고, 비선형 유한요소해석방법에 의한 지하차도 내화성 평가 결과를 ACI 216R-89의 결과와 비교하였다.

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

  • 김문영;김남일;안상섭
    • 전산구조공학
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    • 제11권1호
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    • pp.179-190
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    • 1998
  • 두개의 케이블요소를 이용한 3차원 케이블망의 정적 비선형 유한요소해석기법을 제시한다. 먼저, 공간 트러스요소와 탄성현수선 케이블요소(elastic catenary cable element)의 접선강도행렬과 질량행렬을 유도하는 과정을 간략히 요약한다. 지점 변위를 일으키고 자중을 받는 케이블망의 초기평형 상태를 결정하기 위하여, Newton-Raphson 반복법에 근거한 하중증분법과 현수케이블요소를 적용하는 경우에 viscous damping을 고려한 dynamic relaxation법을 제시한다. 또한 초기의 정적평형상태를 기준으로 추가하중에 대한 케이블망의 정적 비선형해석을 수행한다. 지점변위와 외력을 받는 케이블 구조에 대하여 비선형해석을 수행하고, 해석결과들을 기존의 문헌의 결과와 비교, 검토하므로써 본 논문에서 제시한 이론 및 해석방법의 타당성을 입증한다.

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A new approach for nonlinear finite element analysis of reinforced concrete structures with corroded reinforcements

  • Shayanfar, Mohsen A.;Safiey, Amir
    • Computers and Concrete
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    • 제5권2호
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    • pp.155-174
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    • 2008
  • A new approach for nonlinear finite element analysis of corroded reinforcements in RC structures is elaborated in the article. An algorithmic procedure for producing the tension-stiffening curve of RC elements taking into consideration most of effective parameters, e.g.: the rate of steel bar corrosion, bond-slip behavior, concrete cover and amount of reinforcement, is illustrated. This has been established on both experimental and analytical bases. This algorithm is implemented into a nonlinear finite element analysis program. The abilities of the resulted program have been studied by modeling some experimental specimens showing a reasonable agreement between the analytical and experimental findings.

Flexural Modeling of Strengthened Reinforced Concrete Beam with Nonlinear Layered Finite Element Method

  • Kim, Min-Kyung;Lee, Cha-Don
    • KCI Concrete Journal
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    • 제11권3호
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    • pp.115-126
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    • 1999
  • An analytical method based on the nonlinear layered finite element method is developed to simulate an overall load-deflection behavior of strengthened beams. The developed model distinguishes itself by its capability to trace residual flexural behavior of a beam after the fracture of brittle strengthening materials at peak load. The model. which uses a rather advanced numerical technique for iterative convergence to equilibrium, can be regarded as superior to the two models based on load control and displacement control The model predictions were compared with the experimental results and it was observed that there was good agreement between them.

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

  • Huh, Jungwon
    • 한국전산구조공학회논문집
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    • 제13권3호
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    • pp.373-384
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    • 2000
  • 단기 동 하중(특히 지진하중)을 받는 비선형 강 프레임 구조물의 안전성을 평가하기 위하여 추계론적 유한요소 개념에 근거한 비선형 시간영역 신뢰성 해석 기법을 제안하였다. 제안된 알고리즘에서는 유한요소 공식화가 응답 표면법, 1차 신뢰성 방법, 그리고 반복 선형보간 기법의 개념들과 결합되어 지는데, 이것이 추계론적 유한요소 개념으로 귀결된다. 실제 지진하중의 시간이력이 구조물의 진동을 위해 사용되므로 사실적인 하중조건의 재현이 가능하다. 가상 응력에 기초한 유한요소 기법이 본 알고리즘의 효율성을 증대하기 위해 사용된다. 본 알고리즘은 지진하중 또는 임의의 단기 동적하중을 받는 유한요소 기법으로 표현되는 어떠한 선형 및 비선형 구조물과 관련된 위험도를 평가할 수 있는 잠재성을 가지고 있다. 수치예제를 통하여 알고리즘을 설명하였으며, 몬테카를로 시뮬레이션 기법을 사용하여 본 알고리즘을 검증하였다.

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