Dynamic stability of beams with finite displacements and rotations

DOI10.1108/02644409910281217zbMath0954.74032OpenAlexW2082800052MaRDI QIDQ4719419

C. Pellegrino, Carmelo E. Majorana

Publication date: 8 February 2001

Published in: Engineering Computations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1108/02644409910281217

zbMATH Keywords

rotationsfinite element methodlinearizationdynamic stabilityexponential mappingframesbeamsfinite displacementsNewton-Raphson algorithmRodrigues's formulaorthogonal \(SO(3)\) Lie group

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite element methods applied to problems in solid mechanics (74S05) Stability of dynamical problems in solid mechanics (74H55)

Related Items (1)

Dynamic stability of an elastic beam with visco‐elastic translational and rotational supports

Cites Work

• A finite strain beam formulation. The three-dimensional dynamic problem. I
• A three-dimensional finite-strain rod model. II. Computational aspects
• Finite element procedures for parametric resonance phenomena of arbitrary elastic shell structures
• Dynamic stability of elastically constrained beams: an exact approach
• Dynamic stability of elastic structures: a finite element approach

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