In this paper, we first analyze the chaotic dynamics of a higher-dimensional nonlinear system for a composite laminated plate in the case of 1:3:3 internal resonances with the theory of normal form and the energy-phase method. The theory of normal form is used to obtain the simpler normal form of the system. The energy-phase method is employed to analyze the multi-pulse chaotic dynamics of the higher-dimensional nonlinear system for a composite laminated plate. Moreover, the numerical simulation is performed to find the multi-pulse chaotic motion of the composite laminated plate. The global theory analysis and the results of numerical simulation demonstrate that the existence of the periodic motions and chaotic motions with the jumping phenomena in the composite laminated plate.
- Design Engineering Division and Computers in Engineering Division
Chaotic Dynamics in a Higher-Dimensional Nonlinear System for a Composite Laminated Plate
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Zhang, W, & Gao, M. "Chaotic Dynamics in a Higher-Dimensional Nonlinear System for a Composite Laminated Plate." Proceedings of the ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Volume 2: 29th Computers and Information in Engineering Conference, Parts A and B. San Diego, California, USA. August 30–September 2, 2009. pp. 95-102. ASME. https://doi.org/10.1115/DETC2009-87130
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