Exact solution of the nonlinear differential equation concerning the elastic line of a straight rod due to terminal loading

DOI10.1016/0020-7462(82)90009-9zbMath0498.73042OpenAlexW1989799331WikidataQ115367950 ScholiaQ115367950MaRDI QIDQ1171432

Dimitrios E. Panayotounakos, Pericles S. Theocaris

Publication date: 1982

Published in: International Journal of Non-Linear Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7462(82)90009-9

zbMATH Keywords

closed-form solutiontransverse shear deformationselastic lineeccentric bucklingstraight thin rodterminal co-planar loading

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear ordinary differential equations and systems (34A34) Bifurcation and buckling (74G60) Explicit solutions, first integrals of ordinary differential equations (34A05)

Related Items (3)

Eine auf der Theorie der Elastica basierende nichtlineare Analyse des Knickens von kontinuierlichen Balken auf elastischen Auflagern;Nonlinear and buckling analysis of continuous bars lying on elastic supports, based on the theory of elastica ⋮ Exact solutions of nonlinear equation of rod deflections involving the Lauricella hypergeometric functions ⋮ Elliptic integral solutions of spatial elastica of a thin straight rod bent under concentrated terminal forces

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