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Analytic Solutions for Nonlinear Differential Equations Describing the Elastica of Straight Bars: Theory

โœ Scribed by D.E. Panayotounakos; P.S. Theocaris

Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
706 KB
Volume
325
Category
Article
ISSN
0016-0032

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โœฆ Synopsis

The nonlinear differential equations governing the elastica configuration of a long andflexible straight bar are solved, when the bar is subjected to compression and bending developed by end forces and coupled together with a uniformly distributed transverse load. For achieving a straightforward analytic solution of this complicated mode of loading, several convenient functional transformations are introduced. A quantitative analysis of the governing equations is found to be in agreement with the physical problem.

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