Nonlinear free vibration of isotropic plates with internal resonance
Ribeiro, P. and Petyt, M. (2000) Nonlinear free vibration of isotropic plates with internal resonance. International Journal of Non-linear Mechanics, 35, (2), 263-78. (doi:10.1016/S0020-7462(99)00013-X).
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The geometrically non-linear free vibration of thin isotropic plates is investigated using the hierarchical finite element method (HFEM). Von Kármán'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.
|Keywords:||Non-linear vibration; Plates; Internal resonance|
|Subjects:||T Technology > TJ Mechanical engineering and machinery|
|Divisions:||University Structure - Pre August 2011 > Institute of Sound and Vibration Research > Dynamics
|Date Deposited:||03 Nov 2004|
|Last Modified:||27 Mar 2014 18:02|
|RDF:||RDF+N-Triples, RDF+N3, RDF+XML, Browse.|
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