Dynamic Axial-Moment Buckling of Linear Beam Systems by Power Series Stiffness
Publication: Journal of Engineering Mechanics
Volume 135, Issue 8
Abstract
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.
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Acknowledgments
The research is fully supported by the Strategic Research Grant No. 7002120 of City University of Hong Kong.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 135 • Issue 8 • August 2009
Pages: 852 - 861
Copyright
© 2009 ASCE.
History
Received: Mar 19, 2007
Accepted: Jan 22, 2009
Published online: Jul 15, 2009
Published in print: Aug 2009
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