Nonlinear and buckling analysis of continuous bars lying on rigid supports

DOI10.2514/3.9293zbMath0583.73045OpenAlexW2159984451MaRDI QIDQ3706594

Dimitrios E. Panayotounakos, Pericles S. Theocaris

Publication date: 1986

Published in: AIAA Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2514/3.9293

zbMATH Keywords

closed-form solutionscompatibility conditionselliptic integralparametric solutionrigid supports(q-2) additional three-moment equationsaerospace structural problemscontinuous barsequilibrium differential equations for each spannonlinear (transcendental) system of 3(q-1) equations with 4(q-1) unknownsnonlinear and buckling analysisselecting values for the slope of the deflection

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear elasticity (74B20) Bifurcation and buckling (74G60)

Related Items (1)

Analytic solutions for nonlinear differential equations describing the elastica of straight bars: Theory

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