Frame Buckling Analysis with Full Consideration of Joint Compatibilities
Publication: Journal of Engineering Mechanics
Volume 118, Issue 5
Abstract
Previous buckling analyses for three‐dimensional frames based on discrete element formulations have been criticized for the lack of equilibrium at angled joints in the buckling state. While this problem can be overcome through the introduction of the so‐called semitangential rotations and moments, this approach suffers from the drawback that the semitangential definitions are rather artificial. In this paper, it is demonstrated that the so‐called lack of equilibrium for rotated angled joints is not a physical reality, but a result of overlooking compatibility conditions for interconnected elements in the deformed position. One feature of such compatibility conditions is that they are irrelevant to any elastic deformations. In a finite element formulation, they can only be included through the external virtual work terms. In this paper, the procedure for calculating the element forces in a step‐by‐step nonlinear analysis is also discussed. The adequacy of the present approach is confirmed in the numerical study.
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Published In
Journal of Engineering Mechanics
Volume 118 • Issue 5 • May 1992
Pages: 871 - 889
Copyright
Copyright © 1992 ASCE.
History
Published online: May 1, 1992
Published in print: May 1992
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