An Improved Way of Detecting the Threshold Value of Chaotic Motion on a Parametrical Excited Rectangular Thin Plate

One dynamical model of a thin rectangular plate subject to in-plate parametrical excitation is proposed based on elastic theory and Galerkin’s approach. At first, the undermined fundamental frequency and normal form method was utilized to study the influence of the disturbing parameters to the funda...

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Bibliographic Details
Published inApplied Mechanics and Materials Vol. 66-68; pp. 833 - 837
Main Authors Ge, Gen, Zhu, Zhi Wen
Format Journal Article
LanguageEnglish
Published Zurich Trans Tech Publications Ltd 01.07.2011
Subjects
Chaos
Rectangular Thin Plate
Undermined Fundamental Frequency Method
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Summary:One dynamical model of a thin rectangular plate subject to in-plate parametrical excitation is proposed based on elastic theory and Galerkin’s approach. At first, the undermined fundamental frequency and normal form method was utilized to study the influence of the disturbing parameters to the fundamental frequency. Secondly, the improved Melnikov expression for the oscillator was built based on the results of the undermined fundamental frequency method and time scale transformation to improve the approximate threshold value of chaotic motion in the Homoclinicity. Finally, the numerical results show the efficiency of the theoretical analysis.
Bibliography:Selected, peer reviewed papers from the 2011 International Conference on Mechanical Materials and Manufacturing Engineering (ICMMME 2011) in June 20-22, 2011, Nanchang, China
ObjectType-Article-1
SourceType-Scholarly Journals-1
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ISBN:9783037851852
3037851856
ISSN:1660-9336
1662-7482
1662-7482
DOI:10.4028/www.scientific.net/AMM.66-68.833