• Title/Summary/Keyword: 절점법

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Nonlinear Analysis of Beam Using Linear Finite Element Method and Dynamic Analysis (선형 유한요소법과 동역학을 연계한 보의 비선형 거동 해석)

  • Jang, Sung-Hee;Lee, Seoung-Soo;Kim, Chang-Wan
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2010.04a
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    • pp.754-755
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    • 2010
  • 본 논문에서는 선형 유한요소법과 동역학적 해석방법을 연계하여 유연 다물체 보의 거동을 해석하였다. 이 방법은 절대 절점 좌표계를 사용하였고, 몇 가지 수치 예제를 해석해 본 논문에서 설명하는 선형 유한 요소법과 동역학적 연계 해석방법의 타당함을 확인하였다.

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Boundary Element Analysis of a Crack Normal at the Bondline of Two Dissimilar Materials (서로 다른 두 재료의 접합면에 수직인 균열의 경계요소 해석)

  • 임원균;이현규
    • Computational Structural Engineering
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    • v.9 no.1
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    • pp.93-99
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    • 1996
  • In the particular situations where the crack is terminated at an interface of two materials, the order of stress singularity depends on the elastic constants which specify the properties of two materials. A multidomain boundary element technique is used to solve a crack normal to bimaterial interface. A correct order of shape function is used for displacement by using the isoparametric elements by shifting adequately the side nodes adjacent to this crack tip. A shape function containing the same order of singularity as that in the interface crack is also used for the interpolation of traction. Numerical testing of a binaterial with a crack normal to the interface is carried out with three-node elements. The results obtained are compared with the previous solutions.

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Finite Element Analysis of Planar Effect on the Concrete Pavements (유한 요소법에 의한 콘크리트 포장 구조의 평면 거동연구)

  • Jo, Byung Wan
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.14 no.5
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    • pp.1091-1096
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    • 1994
  • Since horizontal movements due to shrinkage and thermal gradients in concrete pavements involve no actual load, the stresses induced will be those due to closing of the pavement joints and subbase friction. Consequently, complete derivations of stiffness matrix and equivalent nodal loads due to planar effects on the concrete pavements was throughly undertaken using the finite rectangular elements with two degrees of freedom at each node. The numerical example shows that the tensile stress induced in a pavement due to concrete shrinkage might be negligible except at very long slab and very high coefficient of frictions. However the stresses in conjunction with principal traffic loads might cause cracking problems.

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Finite Element Vibration Analysis of Structures with Cyclic Symmetry using Discrete Fourier Transform (이산푸리에 변환을 이용한 순환대칭 구조물의 유한요소 진동 해석)

  • 김창부;김정락
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1995.10a
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    • pp.221-226
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    • 1995
  • 터빈 익렬, 펌프 익차, 원형 냉각탑, 치차 등과 같이 동일한 형상이 원주 방향으로 반복되어 있는 순환 대칭 구조물의 진동특성을 유한 요소법을 사용하여 해석하는 경우에 전체구조를 모델링하는 대신에 구조물을 동일한 형상의 부분구조로 분할하여 부분구조 한개만을 모델링하고 분할된 경계에서 적절한 경계조건을 부과하여 진동해석을 수행함으로서 컴퓨터 기억용량을 절감시키고 계산시간을 단축할 수 있는 방법이 널리 사용되고 있다. Orris and Petyt[1]는 부분구조의 양쪽 분할 경계면, 즉 연결 경계상에 있는 절점변위의 상관관계를 복소파동전파식을 이용해서 구하여 부분구조의 감소된 복소강성행렬 및 질량행렬을 만들고 실수부와 허수부를 분리하여 유한요소해석을 수행하는 방법을 제안하였다. 유한요소 프로그램 ANSYS[2]에서는 이와 같은 방법을 사용하고 있다. Thomas[3]는 순회 정규모드를 이용하였고, 참고문헌[4]에서는 순회행렬을 이용하였다. 또한 유한요소 프로그램 MSC/NASTRAN[5]에서는 푸리에 급수를 이용하고 유한요소 절점의 위치 및 변위를 원통 좌표계를 표현하여 순환대칭구조물의 유한요소해석을 수행할 수 있도록 되어있다. 본 논문에서는 순환 대칭구조물의 형상의 주기성과 순환성을 고려하여 이산퓨리에 변환을 이용함으로써 순환대칭구조물의 유한요소진동해석을 체계적으로 저용량의 컴퓨터에서 신속하고 정확하게 수행할 수 있는 방법을 제안하고자 한다.

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A Nonlinear Analysis of Two-Dimensional Beam Finite Elements (2차원(次元) 보 유한요소(有限要素) 비선형(非線型) 해석(解析))

  • Shin, Young Shik
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.4 no.3
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    • pp.53-61
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    • 1984
  • A nonlinear formulation of a beam finite element(NB6) on the total Lagrangian mode for the geometrically nonlinear analysis of two-dimensional elastic framed structures is presented. The NB6 beam element has been degenerated from the three-dimensional continuum by introducing the deep beam assumptions and consists of three reference nodes and three relative nodes. The element characteristics are derived by discretizing the beam equations of motion using the Galerkin weighted residual method and are reduced-integrated repeatedly for each loading step by the Newton-Raphson iteration techpique. Several numerical examples are given to demonstrate the accuracy and versatility of the proposed nonlinear NB6 beam element.

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Bottom Friction of Combined Wave-Current Flow (천해파와 해류의 해저면 마찰력)

  • 유동훈;김인호
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.13 no.2
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    • pp.177-188
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    • 2001
  • The paper presents the method to estimate the bottom shear stress driven by waves and current on rough turbulent flow. Parameter adjusting technique is suggested for the computation of bed shear stress driven by uni-directional flow, and the value ofpararneter is determined by comparing the computational results against Bijker's laboratory data. For the computation of combined flow bottom shear stress, two methods are presented; one is the modified Bijker approach (BYO Model) and the other is the modified Fredsoe approach (FY Model), both of which are refined by the present writers. BYO model is again refined in the computation of maximum shear stress, and the final version is tested against Bijkcr's laboratory data.

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A Study on the Analytical Technique of Stability and Buckling Characteristics of the Single Layer Latticed Domes (단층 래티스돔의 안정해석기법 및 좌굴특성에 관한 연구)

  • Han, Sang-Eul
    • Computational Structural Engineering
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    • v.9 no.3
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    • pp.209-216
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    • 1996
  • The primary objective of this paper is to grasp many characteristics of buckling behavior of latticed spherical domes under various conditions. The Arc-Length Method proposed by E.Riks is used for the computation and evaluation of geometrically nonlinear fundamental equilibrium paths and bifurcation points. And the direction of the path after the bifurcation point is decided by means of Hosono's concept. Three different nonlinear stiffness matrices of the Slope-Deflection Method are derived for the system with rigid nodes and results of the numerical analysis are examined in regard to geometrical parameters such as slenderness ratio, half-open angle, boundary conditions, and various loading types. But in case of analytical model 2 (rigid node), the post-buckling path could not be surveyed because of Newton-Raphson iteration process being diversed on the critical point since many eigenvalues become zero simultaneously.

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An Improved Initial Force Method for Determining the Initial Configuration of Suspension Bridges (현수교 시스템의 초기형상 결정을 위한 개선된 초기부재력법)

  • Kim, Min;Kim, Ho-Kyung;Kim, Moon-Young
    • Journal of Korean Society of Steel Construction
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    • v.23 no.2
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    • pp.237-247
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    • 2011
  • This paper presents an improved initial force method for determining the initial shape of suspension bridges. After determining the initial shape factors through the force equilibrium conditions of each hanging point, the initial force method was applied with the computed values, each node's coordinates, and unstrained lengths of the cable element as inputs. The unstrained length of each cable element was regarded as a fixed value in each iteration step, unlike in the typical initial force method. This method can be applied to 2D and 3D suspension bridge models. The validity of the present method was demonstrated by comparing the results of the numerical examples.

Crack Propagation Analysis of Mixed Mode Crack by Element-Free Galerkin Method (Element-Free Galerkin법을 이용한 혼합모드상태 균열의 균열진전해석)

  • 이상호;윤열철
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.12 no.3
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    • pp.485-494
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    • 1999
  • 본 연구에서는 요소를 사용하지 않고 절점들만을 이용하여 해석이 가능한 새로운 수치해석기법인 EFG(Element-Free Galerkin)법을 사용하여 임의의 균열의 성장과정을 해석할 수 있는 효율적인 알고리즘을 개발하고, 이를 바탕으로 균열의 성장방향과 경로를 정확히 추정하여 일련의 균열진전해석을 수행할 수 있는 프로그램을 개발하였다. 균열해석에 있어서는 균열선단의 특이성과 균열면의 분연속성을 수치적으로 반영할 수 있는 기법을 도입하여 균열을 모형화하였으며, 선형탄성파괴역학이론에 근거하여 균열해석과정을 정식화하였다. 또한, EFG 형상함수가 kronecker delta 조건을 만족시키지 못함으로써 발생하는 필수경계조건의 처리문제를 penalty법을 이용하여 해결하였다. 개발된 균열진전해석 알고리즘을 정지상태와 성장하는 상태에 있는 모드 Ⅰ, 모드 Ⅱ 및 혼합모드상태의 대표적인 균열문제들에 적용하여 응력확대계수와 균열성장방향 및 균열의 성장경로를 추정하고 이를 이론적·실험적 결과들과 비교함으로써 그 정확성과 효율성을 검증하였다.

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Lateral Vibration and Elastic Stability of Rectangular Plates with Cutouts (개구부를 가진 직사각형 평판구조의 진동 및 안정성 해석)

  • 이수곤;김순철;박근흥
    • Computational Structural Engineering
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    • v.3 no.2
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    • pp.77-88
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    • 1990
  • Two perforated plates (a square plate and a rectangular plate having an aspect ratio 1.57(L/sub x/=11, L/sub y/=7)) are taken as analysis examples. Each of these plates is given some changes in the boundary conditions. The size of cutouts as well as their locations are also changed in order to examine the variation of two eigenvalues corresponding to the fundamental mode. The relationship between two eigenvalues is established by changing the magnitude of edge thrust.

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