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

• Type: Article in International Scientific Journal
• Date: 2009

Authors

P. Ribeiro (Author) FEUP; G. H. M. van der Heijden (Author) Other

Journal

Title: Journal of Sound and Vibration

Pages: 321-337

ISSN: 0022-460X

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 7 Citations

ISI Web of Science

Scopus - 9 Citations

INSPEC

COMPENDEX

Scientific classification

FOS: Engineering and technology > Other engineering and technologies

Other information

Authenticus ID: 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.

Language: English

Type (Professor's evaluation): Scientific