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Finite element method for non‐linear forced vibrations of circular plates
Author(s) -
DechaUmphai Kamolphan,
Mei Chuh
Publication year - 1986
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620230911
Subject(s) - vibration , finite element method , plane (geometry) , inertia , displacement (psychology) , boundary value problem , mathematics , harmonic , amplitude , mathematical analysis , geometry , mechanics , structural engineering , physics , classical mechanics , acoustics , engineering , optics , psychology , psychotherapist
Geometric non‐linearities for large amplitude free and forced vibrations of circular plates are investigated. In‐plane displacement and in‐plane inertia are included in the formulation. The finite element method is used. An harmonic force matrix for non‐linear forced vibration analysis is introduced and derived. Various out‐of‐plane and in‐plane boundary conditions are considered. The relations of amplitude and frequency ratio for different boundary conditions and various load conditions are presented.