Nonlinear waves and chaotic behavior in a elastic cylindrical shell subjected to axial compression - 文章详情页

作者：

Zhou, Y.-Q. (Zhou, Y.-Q..) | Zhang, S.-Y. (Zhang, S.-Y..)

收录：

Scopus PKU

摘要：

Using　logarithmic　circumferential　strain　definition,　a　nonlinear　wave　equation　based　on　transverse　axi-symmetrical　motion　of　a　elastic　cylindrical　shell　in　axial　compression　was　derived.　By　means　of　the　reductive　perturbation　method　(RPT),　a　nonlinear　Schrdinger　equation　was　obtained.　The　exact　periodic　solutions　of　nonlinear　wave　equation　was　obtained　by　means　of　traveling　wave　method.　The　envelope　solitary　wave　solution　was　given　when　the　modulus　was　in　degenerate　case.　The　chaotic　behavior　of　nonlinear　Schrdinger　equation　in　a　cylindrical　shell　subjected　to　axial　compression　were　discussed　under　damping　and　external　load　perturbation.　The　threshold　condition　of　the　existence　of　chaos　property　under　Smale　horseshoe　was　given.　It　shows　diversity　and　complexity　of　chaotic　motion.

关键词：

Axial compression; Chaos; Cylindrical shell; Logarithmic strain; NLS equation; Reductive perturbation method

作者机构：

[ 1 ] [Zhou, Y.-Q.]School of Science, North University of China, Taiyuan 030051, China
[ 2 ] [Zhou, Y.-Q.]College of Mechanical Engineering and Applied Electronics Technology, Beijing University of Technology, Beijing 100022, China
[ 3 ] [Zhang, S.-Y.]Institute of Applied Mechanics and Biomedical Engineering, Taiyuan University of Technology, Taiyuan 030024, China

通讯作者信息：

[Zhou, Y.-Q.]School of Science, North University of China, Taiyuan 030051, China

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