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Dynamic Mode Analysis of Thin Walled Closed Section Beams under Warping Conditions (Warping 조건하에서 박판 폐단면 보의 동적 모드 해석)

  • Yu, Hwan-Shin;Chun, Dong-Joon
    • Journal of Advanced Navigation Technology
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    • v.16 no.2
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    • pp.367-374
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    • 2012
  • A dynamic simulation and test of frame with thin walled closed section beams considering warping conditions have been performed. When a beam is subjected under torsional moment, the cross section will deform an warping as well as twist. For some thin-walled sections warping will be large, and accompanying warping restraint will induce axial and shear stresses and reduce the twist of beam which stiffens the beam in torsion. This paper presents that an warping restraint factor in finite element model effects the behavior of beam deformation and dynamic mode shape. The computer modelling of frame is discussed in linear beam element model and linear thin shell element model, also presents a correlation between computer predicted and actual experimental results for static deflection, natural frequencies and mode shapes of frame.

Finite Element Eigen Analysis of Undamped Beam Structure with Composite Sections (복합단면을 갖는 비 감쇠 보 구조물의 유한요소 고유치 해석)

  • Park, Keun-Man;Cho, Jin-Rae;Jung, Weui-Bong;Bae, Soo-Ryong
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.20 no.6
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    • pp.691-697
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    • 2007
  • Numerical eigen analysis of beam-like structure can be easily and effectively done by various conventional beam theory-based methods. However, in case of the structures composed of composite-sectioned beams, the application of conventional numerical methods requires one to derive both equivalent material and geometry properties. In the present paper, these equivalent properties are derived by the transformed section method and the test FEM program is coded. The numerical accuracy of the proposed method is verified through the comparison with the ANSYS 3-D model.

OPTIMAL DESIGN OF PIEZOELECTRIC CANTILEVER FOR FAN BY THREE-DIMENSIONAL FINITE ELEMENT METHOD (3차원 유한 요소법을 이용한 팬용 압전 외팔보의 최적 설계)

  • Kim, Byoung-Jai;Rho, Jong-Suk;Jung, Hyun-Kyo
    • Proceedings of the KIEE Conference
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    • 2004.04a
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    • pp.52-54
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    • 2004
  • 압전 외팔보의 구조가 갈수록 복잡해짐에 따라 더 정확하고 효과적인 압전체의 해석이 요구되어지고 있다. 본 논문에서는 3차원 직육면체요소를 이용한 유한요소법을 통해 압전 변환기를 해석하고, 이것을 실험적으로 검증함으로써, 3차원 유한요소법을 이용한 해석 프로그램의 타당성을 확인하였다. 또한 3차원 유한요소법을 이용해서 압전 외팔보를 해석하고, 이것을 실험결과를 통해서 검증하였다. 그리고 압전 외팔보를 팬으로 적용하기 위해서 끝단에서의 최대 변위를 목적함수로 한 진화 전략 알고리즘을 적용하였다. 이를 통해서 팬용 압전 외팔보의 최적 설계를 수행하였다.

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A C Finite Element of Thin-Walled Laminated Composite I-Beams Including Shear Deformation (전단변형을 고려한 적층복합 I형 박벽보의 C유한요소)

  • Baek, Seong-Yong;Lee, Seung-Sik
    • Journal of Korean Society of Steel Construction
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    • v.18 no.3
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    • pp.349-359
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    • 2006
  • This paper presents a new block stiffness matrix for the analysis an orthogonal Cartesian coordinate system. The displacement fields are defined using the first order shear deformable beam theory. The longitudinal displacement can be expressed as the sum of the projected plane deformation of the cross-section due to Timoshenko's beam theory and axial warping deformation due to modified Vlasov's thin-waled beam theory. The derived element takes into account flexural shear deformation and torsional warping deformation. Three different types of beam elements, namely, the two-noded, three-noded, and four-noded beam elements, are developed. The quadratic and cubic elements are found to be very efficient for the flexural analysis of laminated composite beams. The versatility and accuracy of the new element are demonstrated by comparing the numerical results available in the literature.

Efficient Seismic Analysis of Building Structures with Eccentric Beams (보의 편심효과를 고려한 건축구조물의 효율적인 지진해석)

  • 안상경;이동근
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.14 no.2
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    • pp.203-211
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    • 2001
  • 고층구조물의 해석에 사용되는 ETABS와 같은 상용프로그램은 해석의 단순화를 위하여 강막가정을 사용하게 된다. 이와 같은 강막가정은 일반적으로 바닥판의 휨 강성과 보의 편심효과를 무시하게 된다. 이러한 가정은 골조구조물의 정적해석에 대해서는 정당한 결과를 얻을 수 있으나 동적해석의 경우에는 바닥판의 휨 강성과 보의 편심효과가 구조물의 횡 방향 거동에 주요한 영향을 미치게 된다. 그러나 바닥판의 영향과 보의 편심효과를 고려하기 위해서는 유한요소의 특성상 바닥판과 보를 여러 개의 요소로 나누어야 하며, 이로 인하여 해석과 구조물의 모형화에 많은 시간이 소요되는 단점이 발생하게 된다. 본 논문에서는 이러한 단점을 보완하기 위하여 부분구조기법과 대형요소를 사용한 효율적인 모형화 방법에 대하여 연구하였다. 또한 최종적으로 각 층에 대하여 강막가정을 적용하여 층 당 3개의 자유도만을 고려하는 막대모델을 제안하였다. 본 논문에서는 제안한 모형화기법의 정당성을 검토하기 위하여 구조물의 응답을 비교하였다.

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Buckling Behavior of I-Beam with the Elastic Support (탄성 경계를 고려한 I형보의 좌굴 거동)

  • Kang, Young Jong;Lee, Gyu Sei;Lim, Nam Hyoung
    • Journal of Korean Society of Steel Construction
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    • v.11 no.2 s.39
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    • pp.201-212
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    • 1999
  • A beam supported by a flexible elastic support is commonly used as structural elements, e.g., braced beam, railway track, etc. The elastic support can be located in arbitrary point in the cross-section. This paper investigates the effects of support eccentricity on the elastic buckling of beams with elastic supports. The effects of stiffness of the elastic support are also studied. A beam element with elastic supports and the analysis program are developed for elastic buckling analysis using finite element formulation. The elastic support is modeled by elastic spring element. Using the offset technique, the eccentricity of support is taken into account. A beam element having 14 degrees of freedom including the warping degree of freedom is used. Various numerical example analyses show that the present formulation and analysis program accurately and effectively compute the buckling load and mode of beams with elastic supports.

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An Assumed Strain Beam Element for Spatial Post-Buckling Analysis of Non-symmetric and Shear Flexible Thin-Walled Beams (박벽보의 3차원 후좌굴 해석을 위한 Locking-Free 보요소)

  • Lee, Kyoung-Chan;Kim, Moon-Young;Park, Jung-Il;Chang, Sung-Pil
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.20 no.6
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    • pp.719-730
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    • 2007
  • This study presents a thin-walled space frame element based on the classical Timoshenko beam theory. The element is derived according to the assumed strain field in order to resolve the shear-locking phenomenon. The shape function is developed in accordance with the strain field which is assumed to be constant at a 2-noded straight frame element. In this study, the geometrically nonlinear analysis applies the Corotational procedure in order to evaluate unbalanced loads. The bowing effect is also considered faithfully. Two numerical examples are given; monosymmetric curved and nonsymmetric straight cantilever. When these example structures behave lateral-torsional bucking, the critical loads are obtained by this study and ABAQUS shell elements. Also, the post-buckling behavior is examined. The results give good agreement between this study and ABAQUS shell.

A New Higher-Order Hybrid-Mixed Element for Curved Beam Vibrations (곡선보의 자유진동해석을 위한 고차 혼합요소)

  • Kim Jin-Gon;Park Yong-Kuk
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.19 no.2 s.72
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    • pp.151-160
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    • 2006
  • In this study, we propose a new efficient 2-noded hybrid-mixed element for curved beam vibrationshaving a uniform and non-uniform cross section. The present element considering transverse shear strain is based on Hellinger-Reissner variational principle and introduces additional nodeless degrees for displacement field interpolation in order to enhance the numerical performance. The stress parameters are eliminated by the stationary condition and then the nodeless degrees are condensed out by the Guyan reduction. In the performance evaluation process of the present field-consistent higher-order element, we carefully examine the effects of field consistency and the role of higher-order interpolation functions on the hybrid-mixed formulation. Several benchmark tests confirm e superior behavior of the present hybrid-mixed element for curved beam vibrations.

IBS Beam Element for Nonlinear Seismic Analysis of Steel Moment Frames (강재 모멘트 골조의 비선형 지진 해석을 위한 IBS 보 요소)

  • Kim, Dal Sung;Kim, Dong Seong;Kim, Kee Dong;Ko, Man Gi
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.28 no.2A
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    • pp.233-242
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    • 2008
  • This study presents a non-prismatic beam element for modeling the elastic and inelastic behavior of steel beams, which have the post-Northridge(cover plate) connections in steel moment frames that are subjected to earthquake ground motions. The elastic stiffness matrix for non-prismatric members with increased beam section (IBS) connection is in the closed-form. The plasticity model is of a discrete type and is composed of a series of nonlinear hinges connected by rigid links. The hardening rules can model the inelastic behavior for monotonic and random cyclic loading, and the effects of local buckling. Moreover the determination of yield surfaces, stiffness parameters, and hardening (or softening) rule parameters for IBS beam element were described. Analytical results of the IBS beam element show good correlation with test data and FEM results.

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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