• Title/Summary/Keyword: 판요소

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Comparative Study on the Performance of Quadrilateral Plate Elements for the static Analysis of Limear Elastic structures( I );Displacements (사각형 판 유한 요소들의 정적 성능 비교 분석 I)

  • 이병채;이용주
    • Computational Structural Engineering
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    • v.3 no.4
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    • pp.91-104
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    • 1990
  • Static performance of quadrilateral plate elements was compared through numerical experiments. Sixteen plate elements were selected for comparison from the literature, which were displacement elements, equilibrium elements, mixed elements or hybrid elements based on the Kirchhoff theory or the Mindlin theory. Thin plate bending problems, such as square plate problems, rhombic plate problems, circular plate problems and cantilevered plate problems, were modeled by various meshes and solved under various kinds of boundary conditions. Kirchhoff elements were not so good as Mindlin elements in view of efficiency and convergence. Hinton's elements resulted in the best results for the problems considered with respect to efficiency, convergence and reliability but in some problems they also resulted in more or less inaccurate solutions.

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Calculation of Wave Resistance for a Submerged Body by a Higher Order Panel Method (고차 판요소법을 이용한 몰수체의 조파저항 계산)

  • Chang-Gu Kang;Se-Eun Kim
    • Journal of the Society of Naval Architects of Korea
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    • v.29 no.4
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    • pp.58-65
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    • 1992
  • In this paper, wave resistance for a submerged body is calculated by a higher order panel method. The Neumann-Kelvin problem is solved by the source or normal dipole distribution method. The body surface is represented by a bicubic B-spline and the singularity strengths are approximated by a bilinear form. The results calculated by the higher order panel method are compared with those by the lowest order panel method developed by Hess & Smith. The convergence rate of the higher order panel method is much better than the lowest order panel method. But the wave resistance calculated by the higher order panel method still shows discrepancy with an analytic solution at low Froude number like that by the lowest order panel method.

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A Refined F.E. Analysis for Deformations of Steel Plate Decks with Pavement (강바닥판 교면포장의 변형에 대한 정밀유한요소해석)

  • Kim, Hae-Na-Rae;Oak, Chang-Kwun;Kim, Moon-Young
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2011.04a
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    • pp.627-630
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    • 2011
  • 강바닥판 교면포장의 파손방지를 위하여 윤하중을 받는 강박스형 강바닥판의 변형도를 조사하였다. 이를 위하여 강바닥판과 거더는 쉘요소, 포장은 고체요소로 각각 모델링하고 정밀유한요소해석을 수행하였다. 탄성비, 포장의 두께, 그리고 방수층의 두께 및 물성치 변화에 따른 교면 포장된 강바닥판의 계면, 포장상면 그리고 포장 두께에서의 교축, 교직 그리고 중력방향에 대한 변형도를 측정하였다. 그 결과 방수층의 두께 및 물성치의 변화에 대해 강바닥판과 포장은 거의 영향을 받지 않았고, 대체적으로 포장의 두께가 강바닥판과 포장사이의 탄성비보다 포장의 변형에 더 기인하는 것으로 나타났다.

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FE Analysis of Symmetric and Unsymmetric Laminated Plates by using 4-node Assumed Strain Plate Element based on Higher Order Shear Deformation Theory (고차전단변형이론에 기초한 4절점 가변형률 판 요소를 이용한 대칭 및 비대칭 적층 판의 유한요소해석)

  • Lee, Sang-Jin;Kim, Ha-Ryong
    • Proceeding of KASS Symposium
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    • 2008.05a
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    • pp.95-100
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    • 2008
  • A 4-node assumed strain finite element based on higher order shear deformation theory is developed to investigate the behaviours of symmetric and unsymmetric laminated composite plates. The present element is based on Reddy's higher order shear deformation theory so that it can consider the parabolic distribution of shear deformation through plate thickness direction. In particular, assumed strain method is adopted to alleviate the shear locking phenomena inherited plate elements based on higher order shear deformation theory. The present finite element has seven degrees of freedom per node and denoted as HSA4. Numerical examples are carried out for symmetric and unsymmetric laminated composite plate with various thickness values. Numerical results are compared with reference solutions produced by other higher order shear deformation theories.

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Topology Optimization Using the Chessboard Prevention Strategy (체스판무늬 형성 방지책을 이용한 위상 최적설계)

  • 임오강;이진식
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.12 no.2
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    • pp.141-148
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    • 1999
  • 변위 근거 유한요소해석을 사용하는 대부분의 위상 최적화 기법은 요소의 안정성 부족으로 인하여 체스판 무늬가 주기적 형태로 반복하여 설계영역 내부에 나타난다. 본 연구에서는 선형요소를 이용하면서 최적화 알고리즘의 안정성에 영향을 주지 않고 간단하게 모든 최적화 알고리즘에 이용 가능한 체스판무늬 형성 방지책을 개발하였다. 본 연구의 체스판무늬 형성 방치책에서는 먼저 각 선형요소를 구성하는 절점들의 부치분율을 설계변수로 선정하고, 요소내부의 부피분율을 설계변수로 표현하기 위한 선형 보간함수로 선형요소들의 형상함수를 선정하였다. 그리고, 설계변수와 등가 재료상수와의 상관 관계식은 평균장 근사이론을 이용하여 균질화된 재료에 벌칙인자가 도입된 관계식을 이용하였다. 또한, 본 연구에서는 순차이차계획법인 PLBA 알고리즘을 이용하여 위상 최적화문제를 해석하였다.

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A Study of 3-Dimension Plate- Elastic Foundation Interaction Analysis by Finite Element Method (판과 탄성지반의 상호작용을 고려한 3차원 유한요소해석에 관한 연구)

  • 황창규;강재순
    • Geotechnical Engineering
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    • v.8 no.1
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    • pp.7-18
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    • 1992
  • This paper is a basic study of three by finite element method. Plate and medium. Plate is discretized 4 node p melt. At the interface between plate a melt is adopted for considering plate Measured vertical displacement out by plate foundation interaction finite zion is followed as ; 1. as being interface element adopts dation interaction finite element 2. As being interface element and platefoundation interaction finite 3. As being interface element adopte Therefore, post processing that as.

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A Four-Node Assumed Strain Plate Element for Explicit Dynamic Transient Analysis (명시적인 동적 시간이력해석을 한 사절점 가변형도 평판요소)

  • 이상진
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.14 no.3
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    • pp.349-359
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    • 2001
  • An enhanced four-node plate element, which has been developed for explicit dynamic analysis of plate, is described in this paper. Reissner-Mind1in(RM) assumptions are adopted to consider transverse shear deformation effects in the present plate element. RM plate element produces a shear locking phenomena in thin plate so that the substitute natural strains based on assumed strain method are explicitly derived. The present plate element is applied into the explicit transient algorithm and the mass matrix of plate is formulated by using special lumping method proposed by Hinton et al. The performance of the element is verified with numerical examples.

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A Method of Contact Pressure Analysis between Half-space and Plate (탄성지반과 판의 접촉압력해석에 관한 연구)

  • Cho, Hyun Yung;Cheung, Jin Hwan;Kim, Seong Do;Han, Choong Mok
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.12 no.1
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    • pp.1-8
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    • 1992
  • A method analizing contact pressure between plate and elastic half space is presented by using F.E.M. With the method, the pressure intensities at surface nodes of half space cae be directly calculated by using flexibility matrix of half space. The method is originally presented by Y.K. Cheung et al.(3) Insted of Y.K. Cheung's method, which use a conception of equi-contact pressure area around each surface nodes of half space in the noded rectanqular element area. We use the equi-contact pressure area around the Gaussian integration points of half space surface in the noded isoparametric element area. Numarical examples are presented and compared with other's studies.

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Analysis of Laminated Composite Stiffened Plates with arbitrary orientation stiffener (임의방향 보강재를 가지는 복합적층 보강판의 해석)

  • Yhim, Sung-Soon;Chang, Suk-Yoon;Park, Dae-Yong
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.8 no.2
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    • pp.147-158
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    • 2004
  • For stiffened plates composed of composite materials, many researchers have used a finite element method which connected isoparametric plate elements and beam elements. However, the finite element method is difficult to reflect local behavior of stiffener because beam elements are transferred stiffness for nodal point of plate elements, especially the application is limited in case of laminated composite structures. In this paper, for analysis of laminated composite stiffened plates, 3D shell elements for stiffener and plate are employed. Reissner-Mindlin's first order shear deformation theory is considered in this study. But when thickness will be thin, isoparamatric plate bending element based on the theory of Reissner-Mindlin is generated by transverse shear locking. To eliminate the shear locking and virtual zero energy mode, the substitute shear strain field is used. A deflection distribution is investigated for simple supported rectangular and skew stiffened laminated composite plates with arbitrary orientation stiffener as not only variation of slenderness and aspect ratio of the plate but also variation of skew angle of skew stiffened plates.

Higher Order Quadrilateral Plate Bending Finite Element (고차(高次) 판(板) 사각형(四角形) 유한요소(有限要素))

  • Shin, Young Shik;Shin, Hyun Mook;Kim, Myung Chul
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.8 no.2
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    • pp.25-32
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    • 1988
  • A formulation of an isoparametric quadrilateral higher-order plate bending finite element is presented. The 8-noded 28-d.o.f. plate element has been degenerated from the three-dimensional continuum by introducing the plate assumptions and considering higher-order in-plane displacement profile. The element characteristics have been derived by the Galerkin's weighted residual method and computed by using the selective reduced integration technique to avoid shear-locking phenomenon. Several numerical examples are given to demonstrate the accuracy and versatility of the proposed quadrilateral higher-order plate bending element over the other existing plate finite elements in both static and dynamic analyses.

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