Nonlinear vibrations of simply-supported plates by the p-version finite element method

• Type: Article in International Scientific Journal
• Date: 2005

Authors

Pedro Leal Ribeiro (Author) FEUP

Journal

Title: Finite Elements in Analysis and Design

Vol. 41

Pages: 911-924

ISSN: 0168-874X

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 30 Citations

ISI Web of Science

Scopus - 40 Citations

Scientific classification

FOS: Engineering and technology > Mechanical engineering

CORDIS: Technological sciences > Engineering > Mechanical engineering > Vibration engineering

Other information

Authenticus ID: P-000-3JN

DOI: 10.1016/j.finel.2004.12.002

Abstract (EN): The p-version, hierarchical finite element method is applied to study geometrically nonlinear periodic vibrations of isotropic simply supported plates, in the elastic regime. Free vibrations are studied by the harmonic balance and continuation methods. The nonlinear mode shapes and backbones curves are defined for the first three vibration modes. Resonance curves due to external excitations are also derived, employing the shooting method. The characteristics of the nonlinear motions under harmonic forces are investigated and new results presented.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 14