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Vibrations of Beams in the Elasto-Plastic and Geometrically Nonlinear Regime

Title
Vibrations of Beams in the Elasto-Plastic and Geometrically Nonlinear Regime
Type
Chapter or Part of a Book
Year
2012
Authors
Pedro Leal Ribeiro
(Author)
FEUP
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Book
Pages: 171-223
ISBN: 978-3-7091-1186-4
Electronic ISBN: 978-3-7091-1187-1
Scientific classification
FOS: Engineering and technology > Mechanical engineering
CORDIS: Technological sciences > Engineering > Mechanical engineering > Vibration engineering
Other information
Abstract (EN): This chapter presents models for beams vibrating with moderately large displacements and with elasto - plasticity. The beams are initially straight, homogeneous and isotropic, and oscillate always in one plane. A method to solve the equations of motion in the time domain, with computation of plastic strains in a mixed hardening situation, is described. Forced oscillations under harmonic excitations are analysed using this method. A frequency domain procedure to analyse free vibrations with existing plastic strains is also introduced. Free vibration oscillations are then analysed, with particular attention to the combined influence of large displacements, i.e., geometrical nonlinearity, and plastic strains on the shapes assumed during the period of vibration and on the natural frequencies.
Language: English
Type (Professor's evaluation): Scientific
No. of pages: 52
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