Multiwave non-linear couplings in elastic structures. Part II: two-dimensional example

被引:5
作者
Kovriguine, DA
Maugin, GA
Potapov, AI
机构
[1] Univ Paris 06, CNRS, UMR 7607, Modelisat Mecan Lab, F-75252 Paris 05, France
[2] Russian Acad Sci, Inst Engn Mech, Nizhnii Novgorod, Russia
关键词
D O I
10.1016/S0022-460X(03)00274-8
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
The non-linear resonance coupling in a thin plate in theKirchhoff-Love approximation is selected as a two-dimensional example of mechanical systems exhibiting a rich range of resonant wave-like phenomena. This is originally examined by use of Whitham's average-Lagrangian method. In particular, the existence of three basic resonant triads between longitudinal, shear and bending modes is shown. Some of these necessarily enter cascade wave processes related to the instability of some of the mode components of the triad under small perturbations. A short comparison with Kolmogorov's cascades of turbulence is given. (C) 2003 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:1055 / 1069
页数:15
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