Geometrical non-linear periodic vibration of plates

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

Authors

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

Journal

The Journal is awaiting validation by the Administrative Services.

Title: American Society of Mechanical Engineers, Applied Mechanics Division, AMD

Vol. 238

Pages: 61-68

ISSN: 0160-8835

Indexing

Scopus - 0 Citations

Other information

Authenticus ID: P-007-AZK

Abstract (EN): Periodic, geometrically non-linear free and steady-state forced vibrations of fully clamped plates are investigated. The hierarchical finite element method (HFEM) and the harmonic balance method are used to derive the equations of motion in the frequency domain, which are solved by a continuation method. It is demonstrated that the HFEM requires far fewer degrees of freedom than the h-version of the FEM. Internal resonances due to modal coupling between modes with resonance frequencies related by a rational number, are discovered. In free vibration, internal resonances cause a very significant variation of the mode shape during the period of vibration. A similar behaviour is observed in steady-state forced vibration. The stability of the steady-state solutions is studied by Floquet's theory and it is shown that stable multi-modal solutions occur.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 8