Non-linear free vibration of isotropic plates with internal resonance

被引：83
|
作者：
Ribeiro, P
Petyt, M
机构：
[1] Univ Porto, Fac Engn, DEMEGI, P-4099 Oporto, Portugal
[2] Univ Southampton, Inst Sound & Vibrat Res, Southampton SO17 1BJ, Hants, England
来源：
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS | 2000年 / 35卷 / 02期
关键词：
non-linear vibration; plates; internal resonance;
D O I：
10.1016/S0020-7462(99)00013-X
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
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. (C) 1999 Elsevier Science Ltd. All rights reserved.
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页码：263 / 278
页数：16
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