Large elastic deformations in thin rods

DOI10.1007/BF00535961zbMath0479.73039OpenAlexW2060314193MaRDI QIDQ3938598

Dimitrios E. Panayotounakos, Pericles S. Theocaris

Publication date: 1981

Published in: Ingenieur-Archiv (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00535961

zbMATH Keywords

generalized displacementsclosed formulaesystem of fifteen nonlinear, ordinary, differential equations of first orderterminal co-planar forcesthin cantilever circular rodthin skew-curved rods

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear elasticity (74B20) Ordinary differential equations of infinite order (34A35)

Cites Work

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• The non-linear bending of a cantilever beam with shear and longitudinal deformations
• Large elastic deformations in thin cantilever rods due to concentrated loadings
• A closed form solution for the static analysis of continuous skew-curved beams
• Nonlinear elastic analysis of planar curved beams loaded by co-planar concentrated forces
• Non-Linear Elastic Analysis of Circular Beams Loaded by Co-planar Concentrated Forces

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