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Multipulse Heteroclinic Orbits and Chaotic Dynamics of the Laminated Composite Piezoelectric Rectangular Plate
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-27, 27 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-08-01
Country of Publication
Egypt
No. of Pages
27
Main Subjects
Abstract EN
This paper investigates the multipulse global bifurcations and chaotic dynamics for the nonlinear oscillations of the laminated composite piezoelectric rectangular plate by using an energy phase method in the resonant case.
Using the von Karman type equations, Reddy’s third-order shear deformation plate theory, and Hamilton’s principle, the equations of motion are derived for the laminated composite piezoelectric rectangular plate with combined parametric excitations and transverse excitation.
Applying the method of multiple scales and Galerkin’s approach to the partial differential governing equation, the four-dimensional averaged equation is obtained for the case of 1 : 2 internal resonance and primary parametric resonance.
The energy phase method is used for the first time to investigate the Shilnikov type multipulse heteroclinic bifurcations and chaotic dynamics of the laminated composite piezoelectric rectangular plate.
The paper demonstrates how to employ the energy phase method to analyze the Shilnikov type multipulse heteroclinic bifurcations and chaotic dynamics of high-dimensional nonlinear systems in engineering applications.
Numerical simulations show that for the nonlinear oscillations of the laminated composite piezoelectric rectangular plate, the Shilnikov type multipulse chaotic motions can occur.
Overall, both theoretical and numerical studies suggest that chaos for the Smale horseshoe sense in motion exists.
American Psychological Association (APA)
Yao, Minghui& Zhang, Wei. 2013. Multipulse Heteroclinic Orbits and Chaotic Dynamics of the Laminated Composite Piezoelectric Rectangular Plate. Discrete Dynamics in Nature and Society،Vol. 2013, no. 2013, pp.1-27.
https://search.emarefa.net/detail/BIM-511419
Modern Language Association (MLA)
Yao, Minghui& Zhang, Wei. Multipulse Heteroclinic Orbits and Chaotic Dynamics of the Laminated Composite Piezoelectric Rectangular Plate. Discrete Dynamics in Nature and Society No. 2013 (2013), pp.1-27.
https://search.emarefa.net/detail/BIM-511419
American Medical Association (AMA)
Yao, Minghui& Zhang, Wei. Multipulse Heteroclinic Orbits and Chaotic Dynamics of the Laminated Composite Piezoelectric Rectangular Plate. Discrete Dynamics in Nature and Society. 2013. Vol. 2013, no. 2013, pp.1-27.
https://search.emarefa.net/detail/BIM-511419
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-511419