Rotational Spring Analogy for Buckling Analysis
Publication: Journal of Structural Engineering
Volume 133, Issue 5
Abstract
This paper presents a “rotational spring” analogy which allows the geometric stiffness for a large class of structural problems to be formulated using common notions from linear structural analysis. The proposed analogy offers an intuitive framework which (1) sheds significant light on geometric nonlinearity in general, and buckling analysis in particular; (2) explains previous buckling analysis procedures, and (3) is directly applicable to the simplified buckling analysis of discrete as well as continuum structures. This paper discusses the application of the proposed analogy to single degree-of-freedom, multidegree-of-freedom, as well as continuous structural systems, providing in the process several illustrative examples. These demonstrate the simplified framework offered by the proposed rotational spring analogy for a wide range of buckling problems, and highlight its conceptual power in furthering the understanding of important issues in geometrically nonlinear analysis.
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Copyright
© 2007 ASCE.
History
Received: Apr 28, 2005
Accepted: Oct 26, 2006
Published online: May 1, 2007
Published in print: May 2007
Notes
Note. Associate Editor: Keith D. Hjelmstad
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