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An Assumed Strain Beam Element for Spatial Post-Buckling Analysis of Non-symmetric and Shear Flexible Thin-Walled Beams  

Lee, Kyoung-Chan (서울대학교 교량설계핵심기술연구단)
Kim, Moon-Young (성균관대학교 사회환경시스템공학과)
Park, Jung-Il (서울대학교 건설환경종합연구소)
Chang, Sung-Pil (서울대학교 지구환경시스템공학부)
Publication Information
Journal of the Computational Structural Engineering Institute of Korea / v.20, no.6, 2007 , pp. 719-730 More about this Journal
Abstract
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.
Keywords
assumed strain; thin-walled frame element; post-buckling analysis; shear deformation; shear locking; locking-free;
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