Non-linear vibrations of deep cylindrical shells by the p-version finite element method

• Type: Article in International Scientific Journal
• Date: 2010

Authors

Pedro Ribeiro (Author) FEUP; Bruno Cochelin (Author) Other; Sergio Bellizzi (Author) Other

Journal

Title: Shock and Vibration

Pages: 21-37

ISSN: 1070-9622

Publisher: Hindawi

Indexing

ISI Web of Knowledge - 8 Citations

ISI Web of Science

Scopus - 10 Citations

INSPEC

COMPENDEX

Scientific classification

FOS: Engineering and technology > Other engineering and technologies

CORDIS: Technological sciences

Other information

Authenticus ID: P-003-CTT

DOI: 10.3233/SAV-2010-0495

Abstract (EN): A p-version shell finite element based on the so-called shallow shell theory is for the first time employed to study vibrations of deep cylindrical shells. The finite element formulation for deep shells is presented and the linear natural frequencies of different shells, with various boundary conditions, are computed. These linear natural frequencies are compared with published results and with results obtained using a commercial software finite element package; good agreement is found. External forces are applied and the displacements in the geometrically non-linear regime computed with the p-model are found to be close to the ones computed using a commercial FE package. In all numerical tests the p-FE model requires far fewer degrees of freedom than the regular FE models. A numerical study on the dynamic behaviour of deep shells is finally carried out.

Language: English

Type (Professor's evaluation): Scientific