Buckling of a column under a constant speed compression: a dynamic correction to the Euler formula

DOI10.1007/S00707-016-1586-5zbMath1341.74084arXiv1511.01358OpenAlexW3098963402MaRDI QIDQ2628734

Mona M. Dannert, Vitaly A. Kuzkin

Publication date: 15 July 2016

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.01358

zbMATH Keywords

dynamic bucklingcolumncompression testAiry equationEuler forceHoff's problem

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Dynamical bifurcation of solutions to dynamical problems in solid mechanics (74H60) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Applications of hypergeometric functions (33C90)

Related Items (3)

Dynamic torsional buckling: prebuckling waves and delayed instability ⋮ A simple criterion for finite time stability with application to impacted buckling of elastic columns ⋮ Nondeterministic dynamic stability assessment of Euler-Bernoulli beams using Chebyshev surrogate model

Uses Software

• DLMF

Cites Work

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• On a perturbation problem in structural dynamics
• On the Elastic Bending of Columns Due to Dynamic Axial Forces Including Effects of Axial Inertia
• Coupled Plastic Wave Propagation and Column Buckling
• DYNAMIC STABILITY OF INITIALLY CROOKED COLUMNS UNDER A TIME-DEPENDENT AXIAL DISPLACEMENT OF THEIR SUPPORT
• Hoff’s Problem in a Probabilistic Setting

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