Theoretical and Experimental Investigation of the Nonlinear Torsion and Extension of Initially Twisted Bars

DOI10.1115/1.3167039zbMath0518.73041OpenAlexW2070919279MaRDI QIDQ3668039

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Publication date: 1983

Published in: Journal of Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1115/1.3167039

zbMATH Keywords

nonlinear equationsextensionnonlinear deformationtension forcecompared to experimental resultsact simultaneouslydeviations between two linear solutions are very smallinfluence of torsional momentinitially twisted barslarge values of initial twistthin steel stripsthin symmetrical cross sections

Mathematics Subject Classification ID

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

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On the lower-order theories of continua with application to incremental motions, stability and vibrations of rods ⋮ Matrix tensor notation. II: Skew and curved coordinates ⋮ A small strain, moderately large deflection finite element beam model with cross-sectional warping effect ⋮ Analytical evaluation of stresses and strains in inhomogeneous non-prismatic beams undergoing large deflections ⋮ Nonlinear free vibrations of thin-walled beams in torsion ⋮ Axial-torsional coupled static behavior of inhomogeneous pretwisted cantilever beams ⋮ The influence of an initial twisting on tapered beams undergoing large displacements ⋮ Torsion-extension coupling in initially twisted beams by finite elements ⋮ On the nonlinear extension-twist coupling of beams ⋮ Finite element theory for curved and twisted beams based on exact solutions for three-dimensional solids. I: Beam concept and geometrically exact nonlinear formulation. II: Anisotropic and advanced beam models

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