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Improved Static Element Stiffness Matrix of Thin-Walled Beam-Column Elements  

Yun, Hee Taek (한국철도기술연구원)
Kim, Nam Il (성균관대학교 토목환경공학과)
Kim, Moon Young (성균관대학교 토목환경공학과)
Gil, Heung Bae (한국도로공사 도로연구소)
Publication Information
Journal of Korean Society of Steel Construction / v.14, no.4, 2002 , pp. 509-518 More about this Journal
Abstract
In order to perform the spatial buckling and static analysis of the nonsymmetric thin-walled beam-column element, improved exact static stiffness matrices were evaluated using equilibrium equation and force-deformation relationships. This numerical technique was obtained using a generalized linear eigenvalue problem, by introducing 14 displacement parameters and system of linear algebraic equations with complex matrices. Unlike the evaluation of dynamic stiffness matrices, some zero eigenvalues were included. Thus, displacement parameters related to these zero eigenvalues were assumed as polynomials, with their exact distributions determined using the identity condition. The exact displacement functions corresponding to three loadingcases for initial stress-resultants were then derived, by consistently combining zero and nonzero eigenvalues and corresponding eigenvectors. Finally, exact static stiffness matrices were determined by applying member force-displacement relationships to these displacement functions. The buckling loads and displacement of thin-walled beam were evaluated and compared with analytic solutions and results using ABAQUS' shell element or straight beam element.
Keywords
nonsymmetric cross section; spatial buckling; static element stiffness matrix;
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