• 제목/요약/키워드: Finite Elements Methods

검색결과 329건 처리시간 0.022초

Experimental and numerical analysis of the global behaviour of the 1:9 scale model of the Old Bridge in Mostar

  • Kustura, Mladen;Smoljanovic, Hrvoje;Nikolic, Zeljana;Krstevska, Lidija
    • Coupled systems mechanics
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    • 제10권1호
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    • pp.1-19
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    • 2021
  • Composite nature of the masonry structures in general causes complex and non-linear behaviour, especially in intense vibration conditions. The presence of different types and forms of structural elements and different materials is a major problem for the analysis of these type of structures. For this reason, the analysis of the behaviour of masonry structures requires a combination of experimental tests and non-linear mathematical modelling. The famous UNESCO Heritage Old Bridge in Mostar was selected as an example for the analysis of the global behaviour of reinforced stone arch masonry bridges. As part of the experimental research, a model of the Old Bridge was constructed in a scale of 1:9 and tested on a shaking table platform for different levels of seismic excitation. Non-linear mathematical modelling was performed using a combined finite-discrete element method (FDEM), including the effect of connection elements. The paper presents the horizontal displacement of the top of the arch and the failure mechanism of the Old Bridge model for the experimental and the numerical phase, as well as the comparison of the results. This research provided a clearer insight into the global behaviour of stone arch masonry structures reinforced with steel clamps and steel dowels, which is significant for the structures classified as world cultural heritage.

물체력이 작용되는 반무한영역문제의 비선형유한요소-경계요소 조합해석 (Analysis of Semi-Infinite Problems Subjected to Body Forces Using Nonlinear Finite Elements and Boundary Elements)

  • 황학주;김문겸;허택녕;나경웅
    • 대한토목학회논문집
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    • 제11권1호
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    • pp.45-53
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    • 1991
  • 지하구조물은 물체력과 초기응력이 지배적인 하중조건이 되며, 무한 또는 반무한영역을 경계로 한다. 또한 굴착면 주위에는 응력집중에 의해 비선형 거동이 발생한다. 본 논문에서는 경계요소법으로 물체력과 초기응력을 해석하기 위하여 영역적분은 경계 적분화하였다. 물체력에 대한 영역적분은 Galerkin텐서와 발산정리를 사용한 방법과 극좌표를 이용한 직접적분 방법으로 경계적분화하였고, 초기응력에 대한 영역적분은 극좌표를 이용한 직접적분 방법을 응용하여 경계적분화하였다. 경계요소해석 결과는 유한요소해석 결과와 비교하여 검증하였고 검증된 경계요소 프로그램을 비선형 유한요소 프로그램과 조합하여 굴착면 주위에 발생하는 비선형 거동을 합리적으로 해석하도록 하였다. 경계요소법에서 고려하기 어려운 물체력과 초기응력에 대한 영역적분을 경계적분화하여 효율적으로 해석할 수 있었으며, 조합해석 방법으로 비선형 거동을 합리적으로 해석할 수 있었다. 본 연구의 결과는 지하구조물의 해석에 유용하게 사용될 수 있을 것으로 기대된다.

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도식적 상.하계법을 이용한 비배수 점토지반에서 얕은 기초의 지지력계수 (Bearing Capacity Factor of Shallow Foundation in Undrnined Clay Using the Diagrammatic Upper and Lower Bound Methods)

  • 이용주
    • 한국지반공학회논문집
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    • 제27권5호
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    • pp.45-59
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    • 2011
  • 본 논문은 비배수 점토지반에서 얕은 기초의 지지력계수인 $N_c$값을 도식적 상계법과 하계법을 이용해 이론적으로 유도하고 이를 Prandtl(1921)이 제안한 값과 비교하였다. 그 결과, 상계법과 하계법이 일치하는 값이 Prandtl(1921)이 제안한 $N_c$ 값이 5.14임을 확인하였으며, 유한요소해석 결과도 얕은 기초가 파괴하중에 도달할 때의 $N_c$가 5.14로 나타났다. 이러한 유한요소해석 결과는 유한요소 형태(finite e1ement type)와 수, 그리고 증분수(increments)에 크게 의존한다. 본 연구를 통해 상계법에서 구한 값과 하계법에서 구한 값이 서로 일치할 때 비로소 이론적으로 정확한 값임을 정의할 수 있으나, 일치하는 값을 유도하는 일은 매우 어려우며 일반적으로 상계법의 해와 하계법 해 사이에 존재한다고 볼 수 있다.

Preconditioned Jacobian-free Newton-Krylov fully implicit high order WENO schemes and flux limiter methods for two-phase flow models

  • Zhou, Xiafeng;Zhong, Changming;Li, Zhongchun;Li, Fu
    • Nuclear Engineering and Technology
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    • 제54권1호
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    • pp.49-60
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    • 2022
  • Motivated by the high-resolution properties of high-order Weighted Essentially Non-Oscillatory (WENO) and flux limiter (FL) for steep-gradient problems and the robust convergence of Jacobian-free Newton-Krylov (JFNK) methods for nonlinear systems, the preconditioned JFNK fully implicit high-order WENO and FL schemes are proposed to solve the transient two-phase two-fluid models. Specially, the second-order fully-implicit BDF2 is used for the temporal operator and then the third-order WENO schemes and various flux limiters can be adopted to discrete the spatial operator. For the sake of the generalization of the finite-difference-based preconditioning acceleration methods and the excellent convergence to solve the complicated and various operational conditions, the random vector instead of the initial condition is skillfully chosen as the solving variables to obtain better sparsity pattern or more positions of non-zero elements in this paper. Finally, the WENO_JFNK and FL_JFNK codes are developed and then the two-phase steep-gradient problem, phase appearance/disappearance problem, U-tube problem and linear advection problem are tested to analyze the convergence, computational cost and efficiency in detailed. Numerical results show that WENO_JFNK and FL_JFNK can significantly reduce numerical diffusion and obtain better solutions than traditional methods. WENO_JFNK gives more stable and accurate solutions than FL_JFNK for the test problems and the proposed finite-difference-based preconditioning acceleration methods based on the random vector can significantly improve the convergence speed and efficiency.

Evaluating the spread plasticity model of IDARC for inelastic analysis of reinforced concrete frames

  • Izadpanaha, Mehdi;Habibi, AliReza
    • Structural Engineering and Mechanics
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    • 제56권2호
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    • pp.169-188
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    • 2015
  • There are two types of nonlinear analysis methods for building frameworks depending on the method of modeling the plastification of members including lumped plasticity and distributed plasticity. The lumped plasticity method assumes that plasticity is concentrated at a zero-length plastic hinge section at the ends of the elements. The distributed plasticity method discretizes the structural members into many line segments, and further subdivides the cross-section of each segment into a number of finite elements. When a reinforced concrete member experiences inelastic deformations, cracks tend to spread form the joint interface resulting in a curvature distribution. The program IDARC includes a spread plasticity formulation to capture the variation of the section flexibility, and combine them to determine the element stiffness matrix. In this formulation, the flexibility distribution in the structural elements is assumed to be the linear. The main objective of this study is to evaluate the accuracy of linear flexibility distribution assumed in the spread inelasticity model. For this purpose, nonlinear analysis of two reinforced concrete frames is carried out and the linear flexibility models used in the elements are compared with the real ones. It is shown that the linear flexibility distribution is incorrect assumption in cases of significant gravity load effects and can be lead to incorrect nonlinear responses in some situations.

3 차원 요소를 이용한 구조물의 위상 최적설계 (Topology Design Optimization of Structures using Solid Elements)

  • 이기명;조선호
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2005년도 춘계 학술발표회 논문집
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    • pp.309-316
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    • 2005
  • In this paper, we develop continuum-based design sensitivity analysis (DSA) methods using both direct differential method (DDM) and adjoint variable method (AVM) for non-shape design problems. The developed DSA method is further utilized for the topology design optimization of 3-dimensional structures. In numerical examples, the analytical DSA results are verified using finite difference ones. The topology optimization method yields very reasonable results in physical point of view.

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무한요소(Infinite Elements)를 이용한 기초공학해석

  • 양신추
    • 전산구조공학
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    • 제4권2호
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    • pp.9-12
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    • 1991
  • 공학문제에 있어서, 해석적으로 접근할 수 없었던 많은 경우의 문제들이 유한요소법(Finite Element Methods)의 정형화된 모형화 및 해석과정을 통하여 쉽게 접근되어질 수 있었다. 최근 보다 효율적인 요소개발과 컴퓨터 기술의 발달로 유한요소법은 더욱 효과적인 해석 수단이 되어가고 있다. 그러나 지반공학 문제와 같은 무한영역 문제를 유한요소법으로 해석할 경우, 매우 큰 영역을 모형화하기 위하여 많은 수의 요소가 요구되며 이에 따른 자유도(Degree of Freedom) 수의 증가로 많은 계산시간을 요구하게 된다. 본 고는 무한영역 문제를 효과적으로 모형화하기 위하여 연구, 개발되어진 무한요소(Infinite Element)에 대하여 소개하려 한다. 무한요소의 기본개념과 강성행렬의 형성방법을 보인 후, 기초공학 문제를 예로 하여 이의 적용방법을 간략하게 설명하였다.

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전산 구조 공학의 발전과 연구 동향 (Advances and Trends in Computational Structural Engineering)

  • 최창근
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1988년도 가을 학술발표회 논문집
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    • pp.1-6
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    • 1988
  • In this study, the current progress in computational structural engineering and research trends are discussed. The development of new finite elements, error analysis and adaptive mesh generation, material constitutive model, boundary element methods, structural optimal design, hardware/software, AI application and expert systems are particularly emphasized. The rapid development in computer technologies provides good environment for the technical advancement in computational structural engineering.

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EFGM에서 필수경계조건 처리를 위한 형상함수 수정법 (Shape Function Modification for the Imposition of EFGM Essential Boundary Conditions)

  • 석병호;송태한;임장근
    • 대한기계학회논문집A
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    • 제24권3호
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    • pp.803-809
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    • 2000
  • For the effective analysis of an engineering problem, meshless methods which require only positioning finite points without the element meshing recently have been proposed and being studied extensively. Meshless methods have difficulty in imposing essential boundary conditions directly, because non-interpolate shape functions originated from an approximation process are used. So some techniques, which are Lagrange multiplier method, modified variational principles and coupling with finite elements and so on, were introduced in order to impose essential boundary conditions. In spite of these methods, imposition of essential boundary conditions have still many problems like as non-positive definiteness, inaccuracy and negation of meshless characteristics. In this paper, we propose a new method which modifies shape function. Through numerical tests, convergence, accuracy and validity of this method are compared with the standard EFGM which uses Lagrange multiplier method or modified variational principles. According to this study, the proposed method shows the comparable accuracy and efficiency.

리어 힌지 패널 스템핑의 유한요소해석 (Finite Element Analysis of Auto-body Panel Stamping)

  • 정동원;이장희;양동열
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 1996년도 자동차부품 제작기술의 진보
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    • pp.97-109
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    • 1996
  • In the present work computations are carried out for analysis of complicated sheet metal forming process such as forming of a rear hinge. Finite element formulation using dynamic explicit time integration scheme and step-wise combined Implicit/Explicit scheme are introduced for numerical analysis of sheet metal forming process. The rigid-plastic finite element method based on membrane elements has long been employed as a useful numerical technique for the analysis of sheet metal forming because of its time effectiveness. The explicit scheme in general use is based on the elastic-plastic modelling of material requiring large computation time. In finite element simulation of sheet metal forming processes, the robustness and stability of computation are important requirements since the computation time and convergency become major points of consideration besides the solution accuracy due to the complexity of geometry and boundary conditions. The implicit scheme employs a more reliable and rigorous scheme in considering the equilibrium at each step of deformation, while in the explicit scheme the problem of convergency is eliminated at the cost of solution accuracy. The explicit approach and the implicit approach have merits and demerits, respectively. In order to combine the merits of these two methods a step-wise combined implicit/explicit scheme has been developed.