淡江大學機構典藏:Item 987654321/90189
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    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/90189


    Title: Geometrical Stiffness of Thin-Walled I-Beam Element Based on Rigid-Beam Assemblage Concept
    Authors: Yau, J. D.;Kuo, S.-R.
    Contributors: 淡江大學建築學系
    Keywords: Geometric nonlinear analysis;Rigid beam;Thin-walled beam;Warping
    Date: 2012-03
    Issue Date: 2013-06-03 11:54:07 (UTC+8)
    Publisher: Cambridge: Cambridge University Press
    Abstract: Using conventional virtual work method to derive geometric stiffness of a thin-walled beam element, researchers usually have to deal with nonlinear strains with high order terms and the induced moments caused by cross sectional stress results under rotations. To simplify the laborious procedure, this study decomposes an I-beam element into three narrow beam components in conjunction with geometrical hypothesis of rigid cross section. Then let us adopt Yang et al.'s simplified geometric stiffness matrix [kg]12×12 of a rigid beam element as the basis of geometric stiffness of a narrow beam element. Finally, we can use rigid beam assemblage and stiffness transformation procedure to derivate the geometric stiffness matrix [kg]14×14 of an I-beam element, in which two nodal warping deformations are included. From the derived [kg]14×14 matrix, it can take into account the nature of various rotational moments, such as semi-tangential (ST) property for St. Venant torque and quasi-tangential (QT) property for both bending moment and warping torque. The applicability of the proposed [kg]14×14 matrix to buckling problem and geometric nonlinear analysis of loaded I-shaped beam structures will be verified and compared with the results presented in existing literatures. Moreover, the post-buckling behavior of a centrally-load web-tapered I-beam with warping restraints will be investigated as well.
    Relation: Journal of Mechanics 28(1), pp.97-106
    DOI: 10.1017/jmech.2012.10
    Appears in Collections:[Graduate Institute & Department of Architecture] Journal Article

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