热环境中功能梯度圆柱壳内共振非线性模态

杜长城;李映辉;金学松

振动与冲击 ›› 2014, Vol. 33 ›› Issue (6) : 161-164.

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振动与冲击 ›› 2014, Vol. 33 ›› Issue (6) : 161-164.
论文

热环境中功能梯度圆柱壳内共振非线性模态

  • 杜长城1,2,李映辉1,金学松2
作者信息 +

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

  • DU Chang-cheng1,2,LI Ying-hui1,JIN Xue-song2
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文章历史 +

摘要

研究热环境中无限长功能梯度薄壁圆柱壳内共振非线性模态,给出系统发生内共振条件;采用多尺度法建立系统具有内共振的非线性调谐方程;讨论梯度指数、温度变化及振动能量对系统非线性模态频响特性影响。研究表明,随调谐参数的变化,系统非线性模态会发生分岔;调谐参数分岔值取决于梯度指数、温度及振动能量。

Abstract

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

关键词

功能梯度材料 / 圆柱壳 / 内共振 / 非线性模态 / 多尺度法

Key words

FGMs / cylindrical shells / internal resonance / nonlinear normal modes / multiple scale method

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导出引用
杜长城;李映辉;金学松. 热环境中功能梯度圆柱壳内共振非线性模态[J]. 振动与冲击, 2014, 33(6): 161-164
DU Chang-cheng;LI Ying-hui;JIN Xue-song. Nonlinear normal modes of functionally graded cylindrical shells with internal resonance in thermal environments[J]. Journal of Vibration and Shock, 2014, 33(6): 161-164

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