An updated Lagrangian formulation for Timoshenko beams including non- conservative loads for divergence-type systems

DOI10.1016/0093-6413(83)90031-9zbMath0546.73062OpenAlexW2008894254WikidataQ64017471 ScholiaQ64017471MaRDI QIDQ798068

K.-D. Klee, Peter Wriggers

Publication date: 1983

Published in: Mechanics Research Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0093-6413(83)90031-9

zbMATH Keywords

updated Lagrangian formulationTimoshenko beamsconsistent linearizationnon-conservative loadsdivergence-type systemslarge displacement-small strain analysissymmetric matrix formulation

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite element methods applied to problems in solid mechanics (74S05)

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Equivalently analytical solution for the large deformation of slender beams under follower loads: a second-order ANCF approach ⋮ Extended variational formulations and F.E. models for nonlinear beams under nonconservative loading

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