Dynamic axial-moment buckling of linear beam systems by power series stiffness / Leung, A. Y. T. in Journal of engineering mechanics, Vol. 135 N° 8 (Août 2009)  

Dynamic axial-moment buckling of linear beam systems by power series stiffness [texte imprimé] / Leung, A. Y. T., Auteur . - pp. 852-861.
Mécanique appliquée
Langues : Anglais (eng)
in Journal of engineering mechanics > Vol. 135 N° 8 (Août 2009) . - pp. 852-861

Mots-clés :	I beams Buckling Stability Frames Structural dynamics Thin wall sections Finite element method Stiffness.
Résumé :	The paper applies the power series method to find the dynamic stiffness for the dynamics axial-moment buckling analyses of linear framed structures. Since the formulation is exact in classical sense, one element is good enough for the entire beam. The dynamic stiffness thus obtained can be decomposed into the stiffness, mass and initial stress matrices at a particular frequency, a particular axial force and a particular initial moment. The given axial force and moment can be nonuniformly distributed. The interaction diagrams in classical loading conditions of uniform moment, moment due to concentrated and distributed lateral force are given explicitly. The effects of warping rigidity, torsion rigidity, axial tension and compression are investigated in detail. The static and dynamic interaction buckling of a two-section I-beam structure is studied. Finally, we conclude that the three dimensional interaction diagram of the dynamic biaxial moment buckling can be obtained simply by rotating the three dimensional interaction diagram of the dynamic mono-axial moment buckling about the frequency axis if the bimoments are appropriately scaled. It is shown that application for non-uniform section is not suitable due to convergent problem. The method is very efficient that many interaction diagrams are produced for the first time.
DEWEY :	620.1
ISSN :	0733-9399
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