收录:
摘要:
The Shilnikov type multi-pulse chaotic dynamics of a parametrically excited simply supported rectangular thin plate is studied in this paper. The formulas of the rectangular thin plate are derived by using the von Karman type equation and the Galerkin's approach. The global perturbation analysis is directly applied to the non-autonomous governing equations of motion for the rectangular thin plate by using the extended Melnikov method, which was used to deal with autonomous perturbed Hamiltonian system. The case of buckling is considered for the rectangular thin plate. The extended Melnikov method is improved to analyze the non-autonomous nonlinear dynamical system. Numerical simulation is employed to find the Shilnikov type multi-pulse chaotic motions of the rectangular buckled thin plate. The results obtained here indicate that the multi-pulse chaotic motions can occur in the parametrically excited simply supported rectangular buckled thin plate.
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通讯作者信息:
来源 :
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION
ISSN: 1565-1339
年份: 2008
期: 4
卷: 9
页码: 381-394
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ESI学科: ENGINEERING;
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