Nonlinear normal modes of functionally graded cylindrical shells with internal resonance in thermal environment

被引：0

作者：

Du, Chang-Cheng ^{[1
,2
]}

Li, Ying-Hui ^{[1
]}

Jin, Xue-Song ^{[2
]}

机构：

[1] School of Mechanics and Engineering, Southwest Jiaotong University

[2] Traction Power State Key Laboratory, Southwest Jiaotong University

来源：

Zhendong yu Chongji/Journal of Vibration and Shock | 2014年 / 33卷 / 06期

关键词：

Cylindrical shell; Functionally graded material; Internal resonance; Multiple scale method; Nonlinear normal mode;

D O I：

10.13465/j.cnki.jvs.2014.06.029

中图分类号：

学科分类号：

摘要：

Nonlinear normal modes of infinitely long functionally graded cylindrical thin shells with internal resonance in thermal environment were studied. The condition of internal resonance was obtained. The nonlinear modulation equations with internal resonance were established using the multiple scale method. The effects of gradient exponent, temperature and vibration energy on the frequency response characteristics of nonlinear normal modes were discussed. It is found that the nonlinear normal modes of system will undergo bifurcations with the variation of detuning parameter, and the bifurcation value of detuning parameter depends on the gradient exponent, temperature and vibration energy.

引用

页码：161 / 164+178

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