Elasto-plastic and geometrically nonlinear vibrations of beams by the p-version finite element method

• Tipo: Artigo em Revista Científica Internacional
• Data: 2009

Autores

P. Ribeiro (Autor) FEUP; G. H. M. van der Heijden (Autor) Outra

Revista

Título: Journal of Sound and Vibration

Páginas: 321-337

ISSN: 0022-460X

Editora: Elsevier

Indexação

ISI Web of Knowledge - 7 Citações

ISI Web of Science

Scopus - 9 Citações

INSPEC

COMPENDEX

Classificação Científica

FOS: Ciências da engenharia e tecnologias > Outras ciências da engenharia e tecnologias

Outras Informações

ID Authenticus: P-003-GT2

DOI: 10.1016/j.jsv.2009.03.009

Abstract (EN): A model based on a Timoshenko beam p-version finite element is developed to analyse oscillations that are, simultaneously, elasto-plastic and geometrically nonlinear. The geometrical nonlinearity is represented by Von Karman type strain-displacement relations and the stress-strain relation is of the bilinear type, with mixed strain hardening. The equations of motion are obtained using the principle of virtual work and are solved in the time domain by an implicit Newmark method. The Von Mises yield criterion is employed and the flow theory of plasticity applied; if plastic flow is found at a point of the domain, the total plastic strain is determined by summation. Numerical examples arc carried out in order to demonstrate that the p-version element here advocated has a number of advantages and to show the influence of the plastic and geometrically nonlinear terms on the oscillations of beams.

Idioma: Inglês

Tipo (Avaliação Docente): Científica