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Improved Method Evaluating the Stiffness Matrices of Thin-walled Beam on Elastic Foundations  

Kim, Nam-Il (명지대학교 토목환경공학과 BK21)
Jung, Sung-Yeop (평화엔지니어링 구조부)
Lee, Jun-Seok (성균관대학교 토목환경공학과)
Kim, Moon-Young (성균관대학교 건설환경시스템공학과)
Publication Information
Journal of the Computational Structural Engineering Institute of Korea / v.20, no.2, 2007 , pp. 113-125 More about this Journal
Abstract
Improved numerical method to obtain the exact stiffness matrices is newly proposed to perform the spatially coupled elastic and stability analyses of non-symmetric and open/closed thin-walled beam on elastic foundation. This method overcomes drawbacks of the previous method to evaluate the exact stiffness matrix for the spatially coupled stability analysis of thin-walled beam-column This numerical technique is accomplished via a generalized eigenproblem associated with 14 displacement parameters by transforming equilibrium equations to a set of first order simultaneous ordinary differential equations. Next polynomial expressions as trial solutions are assumed for displacement parameters corresponding to zero eigenvalues and the eigenmodes containing undetermined parameters equal to the number of zero eigenvalues are determined by invoking the identity condition. And then the exact displacement functions are constructed by combining eigensolutions and polynomial solutions corresponding to non-zero and zero eigenvalues, respectively. Consequently an exact stiffness matrix is evaluated by applying the member force-deformation relationships to these displacement functions. In order to illustrate the accuracy and the practical usefulness of this study, the numerical solutions are compared with results obtained from the thin-walled beam and shell elements.
Keywords
exact stiffness matrix; elastic analysis; stability analysis; thin-walled beam;
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Times Cited By KSCI : 1  (Citation Analysis)
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