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作者:

Mousa, A.A. (Mousa, A.A..) | Sayed, M. (Sayed, M..) | Eldesoky, I.M. (Eldesoky, I.M..) | Zhang, W. (Zhang, W..)

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EI Scopus

摘要:

The aim of this paper is to investigate the stability of a simply supported laminated composite piezoelectric rectangular plate under combined excitations. Analysis of the amplitude and phase modulation equations with the associated nonlinear interaction coefficients, as provided by the multiple scale analyses of various 1:1 internal resonance conditions and primary resonance case, where ω 2≅ ω 1 and Ω 3≅ ω 1 is considered. The method of multiple time scale is applied to solve the non-linear differential equations describing the system up to the second-order approximation. All possible resonance cases at this approximation order are extracted. The stable/unstable periodic solutions are determined and are presented through frequency response plots. The analytical results are verified by comparing them with those of numerical integration of the modal equations. The influence of different parameters on the dynamic behavior of the composite laminated piezoelectric rectangular plate is studied. Variation of the some parameters leads to multi-valued amplitudes and hence to jump phenomena. A comparison with the available published work is reported. © 2014, Springer-Verlag Berlin Heidelberg.

关键词:

Bifurcation (mathematics) Convergence of numerical methods Difference equations Differential equations Frequency response Laminated composites Laminating Nonlinear equations Numerical methods Piezoelectricity Resonance

作者机构:

  • [ 1 ] [Mousa, A.A.]Department of Basic Engineering Sciences, Faculty of Engineering, Menoufia University, Shibin El-Kom, Egypt
  • [ 2 ] [Mousa, A.A.]Department of Mathematics and Statistics, Faculty of Science, Taif University, P. O. Box 888, El-Taif, Saudi Arabia
  • [ 3 ] [Sayed, M.]Department of Engineering Mathematics, Faculty of Electronic Engineering, Menoufia University, Menouf; 32952, Egypt
  • [ 4 ] [Sayed, M.]Department of Mathematics and Statistics, Faculty of Science, Taif University, P. O. Box 888, El-Taif, Saudi Arabia
  • [ 5 ] [Eldesoky, I.M.]Department of Basic Engineering Sciences, Faculty of Engineering, Menoufia University, Shibin El-Kom, Egypt
  • [ 6 ] [Zhang, W.]College of Mechanical Engineering, Beijing University of Technology, Beijing; 100124, China

通讯作者信息:

  • [sayed, m.]department of mathematics and statistics, faculty of science, taif university, p. o. box 888, el-taif, saudi arabia;;[sayed, m.]department of engineering mathematics, faculty of electronic engineering, menoufia university, menouf; 32952, egypt

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来源 :

International Journal of Dynamics and Control

ISSN: 2195-268X

年份: 2014

期: 4

卷: 2

页码: 494-508

被引次数:

WoS核心集被引频次: 0

SCOPUS被引频次: 15

ESI高被引论文在榜: 0 展开所有

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