Exact parametric analytic solutions of the elastica ODEs for bars including effects of the transverse deformation

DOI10.1016/J.IJNONLINMEC.2003.09.004zbMath1348.74134OpenAlexW2071573465MaRDI QIDQ873424

Anastasia B. Sotiropoulou, Dimitrios E. Panayotounakos

Publication date: 29 March 2007

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

Full work available at URL: https://doi.org/10.1016/j.ijnonlinmec.2003.09.004

zbMATH Keywords

BucklingElasticaExact parametric solutionsNon-linear ODEs

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Bifurcation and buckling (74G60)

Related Items (5)

Analytical modeling of the flexible rim of space antenna reflectors ⋮ Nonlinear asymptotic analysis in elastica of straight bars---analytical parametric solutions ⋮ Exact solutions of nonlinear equation of rod deflections involving the Lauricella hypergeometric functions ⋮ Stability analysis of planar equilibrium configurations of elastic rods subjected to end loads ⋮ Elliptic integral solutions of spatial elastica of a thin straight rod bent under concentrated terminal forces

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