Nonlinear oscillations of rectangular plate with 1:3 internal resonance between different modes

被引：10

作者：

Sun, Min ^{[1
]}

Quan, Tingting ^{[1
]}

Wang, Dongmei ^{[2
]}

机构：

[1] Tianjin Chengjian Univ, Sch Sci, Tianjin 300384, Peoples R China

[2] Tianjin Univ Sci & Technol, Coll Sci, Tianjin 300457, Peoples R China

来源：

RESULTS IN PHYSICS | 2018年 / 11卷

基金：

中国国家自然科学基金;

关键词：

Internal resonance; Nonlinear; Rectangular plate; Frequency response; Energy transfer; VIBRATIONS; RESPONSES; DYNAMICS;

D O I：

10.1016/j.rinp.2018.09.031

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The energy transfer between different modes of rectangular plate with 1:3 internal resonance is investigated. The ordinary differential equations of motion for the plate are worked out by applying the Galerkin's method. The nonlinear frequency responses and the waveforms under specific excitation frequencies are obtained by using Runge-Kutta method. The energy transfer process between different modes is analyzed through the waveforms. The results indicate that the energy transfer mode is different when the internal resonance occurs between different modes. In addition, as a result of the presence of in-plane excitation, the internal resonance between two modes can occur when the excitation frequency is not close to any linear natural frequencies.

引用

页码：495 / 500

页数：6

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