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Author(s): Pedro Leal Ribeiro
Title: Vibrations of Beams in the Elasto-Plastic and Geometrically Nonlinear Regime
Issue Date: 2012
Abstract: This chapter presents models for beams vibrating withmoderately large displacements and with elasto - plasticity. Thebeams are initially straight, homogeneous and isotropic, and oscillatealways in one plane. A method to solve the equations ofmotion in the time domain, with computation of plastic strains in amixed hardening situation, is described. Forced oscillations underharmonic excitations are analysed using this method. A frequencydomain procedure to analyse free vibrations with existing plasticstrains is also introduced. Free vibration oscillations are then analysed,with particular attention to the combined influence of largedisplacements, i.e., geometrical nonlinearity, and plastic strains onthe shapes assumed during the period of vibration and on the naturalfrequencies.
Subject: Engenharia da vibração, Engenharia mecânica
Vibration engineering, Mechanical engineering
Scientific areas: Ciências da engenharia e tecnologias::Engenharia mecânica
Engineering and technology::Mechanical engineering
Source: Exploiting Nonlinear Behaviour in Structural Dynamics
Document Type: Capítulo ou Parte de Livro
Rights: restrictedAccess
Appears in Collections:FEUP - Capítulo ou Parte de Livro

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