First-order shear deformation, p-version, finite element for laminated plate nonlinear vibrations

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

Authors

Pedro Leal Ribeiro (Author) FEUP

Journal

Title: AIAA Journal

Vol. 43

Pages: 1371-1379

ISSN: 0001-1452

Publisher: American Institute of Aeronautics and Astronautics

Indexing

ISI Web of Knowledge - 27 Citations

Scopus - 30 Citations

Other information

Authenticus ID: P-000-2X1

DOI: 10.2514/1.4025

Abstract (EN): A p-version, hierarchical finite element for moderately thick composite laminated plates is presented, where the effects of the rotary inertia, transverse shear, and geometrical nonlinearity are taken into account. The time-domain free-vibration equations of motion are obtained by applying the principle of virtual work. Those equations are mapped into the frequency domain by the harmonic balance method and solved by a predictor-corrector procedure. The linear natural frequencies of vibration of several plates. are determined, and the convergence properties of the element are investigated. It is shown that the element is not prone to shear locking and that a moderate number of degrees of freedom is sufficient for accuracy. The influences of the plate's thickness, of the width to length ratio, and of the fiber orientation on nonlinear free vibrations are investigated.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 9