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

• Tipo: Capítulo ou Parte de Livro
• Data: 2012

Autores

Pedro Leal Ribeiro (Autor) FEUP

Livro

Título: Exploiting Nonlinear Behaviour in Structural Dynamics

Páginas: 171-223

ISBN: 978-3-7091-1186-4

ISBN Eletrónico: 978-3-7091-1187-1

Editora: Springer

Classificação Científica

FOS: Ciências da engenharia e tecnologias > Engenharia mecânica

CORDIS: Ciências Tecnológicas > Engenharia > Engenharia mecânica > Engenharia da vibração

Outras Informações

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.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 52