Large elastic deformations in thin cantilever rods due to concentrated loadings

DOI10.1016/0020-7462(81)90032-9zbMath0513.73057OpenAlexW2039425957MaRDI QIDQ1050803

Dimitrios E. Panayotounakos, Pericles S. Theocaris

Publication date: 1981

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(81)90032-9

zbMATH Keywords

large deformationsconcentrated load at its free endLove equationsplanar curved rod deformed to a circleplanar curved rod deformed to a helixskew-curved rod deformed to a circlestraight rod with constant initial torsion and kinetic symmetrystraight rod without initial torsion and with kinetic symmetrysystem of six coupled nonlinear differential equations of first orderthin cantilever beamtransformed to new higher order system of equationstypes of initial curvatures and cross-sectional geometries

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear elasticity (74B20) Solutions to PDEs in closed form (35C05)

Related Items (2)

Large elastic deflections of bars based on nonlocal elasticity ⋮ Large elastic deformations in thin rods

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