Finite-amplitude waves in isotropic elastic plates

被引：353

作者：

de Lima, WJN ^{[1
]}

Hamilton, MF ^{[1
]}

机构：

[1] Univ Texas, Dept Mech Engn, Austin, TX 78712 USA

来源：

JOURNAL OF SOUND AND VIBRATION | 2003年 / 265卷 / 04期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/S0022-460X(02)01260-9

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

The propagation of finite-amplitude waves in a homogeneous, isotropic, stress-free elastic plate is investigated theoretically. Geometric and weak material non-linearities are included, and perturbation is used to obtain solutions of the non-linear equations of motion for harmonic generation in the waveguide. Solutions for the second-harmonic, sum, and difference-frequency components are obtained via modal decomposition. Ordinary differential equations for the modal amplitudes in the expansion of the second-order solution are obtained using a reciprocity relation. There are no restrictions on the modes or frequencies of the primary waves. Two conditions for internal resonance are quantified: phase matching, and transfer of power from the primary to the secondary wave. (C) 2002 Elsevier Science Ltd. All rights reserved.

引用

页码：819 / 839

页数：21

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