Non-linear free vibration of isotropic plates with internal resonance

• Type: Article in International Scientific Journal
• Date: 2000

Authors

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

Journal

Title: International Journal of Non-Linear Mechanics

Vol. 35 No. 2

Pages: 263-278

ISSN: 0020-7462

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 66 Citations

Scopus - 85 Citations

Other information

Authenticus ID: P-001-0P9

DOI: 10.1016/s0020-7462(99)00013-x

Abstract (EN): The geometrically non-linear free vibration of thin isotropic plates is investigated using the hierarchical finite element method (HFEM). Von Karman's non-linear strain-displacement relationships are employed and the middle plane in-plane displacements are included in the model. The equations of motion are developed by applying the principle of virtual work and the harmonic balance method (HBM), and the solutions are determined using a continuation method. The convergence properties of the HFEM and of the HBM are analyzed. Internal resonances are discovered. The variation of the plate's mode shape with the amplitude of vibration and during the period of vibration is demonstrated.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 16