Single-pulse chaotic dynamics of functionally graded materials plate

被引：8

作者：

Huangfu, Yu-Gao ^{[1
]}

Chen, Fang-Qi ^{[2
]}

机构：

[1] Henan Polytech Univ, Coll Math & Informat Sci, Jiaozuo 454000, Peoples R China

[2] Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing 210016, Jiangsu, Peoples R China

来源：

ACTA MECHANICA SINICA | 2013年 / 29卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Functionally graded materials; Single-pulse; Melnikov's method; Homoclinic orbit; Numerical simulation; GLOBAL BIFURCATIONS; THIN-PLATE; OSCILLATIONS; RESONANCE; SYSTEMS; BEAM;

D O I：

10.1007/s10409-013-0054-x

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

Single-pulse chaos are studied for a functionally graded materials rectangular plate. By means of the global perturbation method, explicit conditions for the existence of a Silnikov-type homoclinic orbit are obtained for this system, which suggests that chaos are likely to take place. Then, numerical simulations are given to test the analytical predictions. And from our analysis, when the chaotic motion occurs, there are a quasi-period motion in a two-dimensional subspace and chaos in another two-dimensional supplementary subspace.

引用

页码：593 / 601

页数：9

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