Nonlinear vibration of plates by the hierarchical finite element and continuation methods

• Type: Article in International Scientific Journal
• Date: 1999

Authors

Pedro Leal Ribeiro (Author) FEUP; Petyt, M (Author) Other

Journal

Title: International Journal of Mechanical Sciences

Vol. 41

Pages: 437-459

ISSN: 0020-7403

Publisher: Elsevier

Indexing

ISI Web of Science

Scopus - 79 Citations

Scientific classification

FOS: Engineering and technology > Mechanical engineering

Other information

Authenticus ID: P-008-P8J

Abstract (EN): The hierarchical finite element (HFEM) and the harmonic balance methods are applied to analyse the geometrically nonlinear vibration of thin, isotropic plates. The von Kármán type of nonlinear strain-displacement relationships are used. Symbolic computation is employed in the derivation of the model. The equations of motion are solved by the Newton and continuation methods. Free and steady-state forced vibration are analysed. The excitations considered are harmonic plane waves at both normal and grazing incidence. The stability of the obtained solutions is investigated by studying the evolution of perturbations to the solutions. The convergence properties of the HFEM and the influence of the middle plane in-plane displacements are discussed and results compared with published experimental and numerical results.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 23