Two kinds of \(C^0\)-type elements for buckling analysis of thin-walled curved beams

DOI10.1016/S0045-7825(98)00246-1zbMath0962.74059OpenAlexW2066674266MaRDI QIDQ1971326

Yanyan Li

Publication date: 14 June 2001

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0045-7825(98)00246-1

zbMATH Keywords

Timoshenko beamgeometric stiffness matrixC(0)-type finite elementfinite rigid rotationsisoparametric curved beam elementspatial buckling analysisstrain curved beam elementthin-walled curved beamsVlasov beam

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite element methods applied to problems in solid mechanics (74S05) Bifurcation and buckling (74G60)

Related Items (6)

Finite element linear and nonlinear, static and dynamic analysis of structural elements, an addendum ⋮ Elasticity solutions for orthotropic functionally graded curved beams ⋮ Free in-plane vibration of curved beam structures: A tutorial and the state of the art ⋮ Finite-element formulation of geometrically exact three-dimensional beam theories based on interpolation of strain measures. ⋮ Analytical solutions of functionally graded curved beams under an arbitrarily directed single force ⋮ Finite element linear and nonlinear, static and dynamic analysis of structural elements – an addendum – A bibliography (1996‐1999)

Cites Work

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• A simultaneous iteration algorithm for symmetric eigenvalue problems
• General curved beam elements based on the assumed strain fields
• A C⁰ finite element formulation for thin‐walled beams
• On large displacement-small strain analysis of structures with rotational degrees of freedom

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