Periodic solution of sandwich plate with aerodynamic and in-plane force

Li, J.; Wang, J.; Yin, X.; Quan, Tingting

doi:10.1179/1432891714z.0000000001231

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2017

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(2 citation statements)

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“…The formula of Melnikov function is presented and conditions for the existence of periodic orbits are obtained. The numerical results show the existence of periodic motion which is significantly complicated than that in 1:2 internal resonance in the paper of [5]. The periodic solution of the average equation may lead to amplitude modulated periodic oscillations in the original system under certain conditions.…”

Section: Discussionmentioning

confidence: 93%

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Periodic Solution for Two Degrees of Freedom Sandwich Plate Dynamical Model with 1:3 Internal Resonance

Zhu¹,

Li²,

Yang³

2017

dtetr

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Abstract.As is widely used in many important engineering load-bearing structures, sandwich structure has attracted more attention. In this paper, we concern the existence of periodic motion for two degrees of freedom sandwich plate in 1:3 internal resonance with aerodynamic loads and in-plane force, and obtain the sufficient conditions for the existence of periodic solution. The main technique we use is the combination of multiple scales method and Melnikov function. Furthermore, the numerical method is used to give an intuitive understanding for the periodic motion of the plate. The result will provides theoretical basis for the sandwich plate design of good anti-vibration performance.

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Section: Discussionmentioning

confidence: 93%

“…Zhang [4] analyzed the global bifurcations and chaotic dynamics of a parametrically excited, simply supported rectangular thin plate by numerical simulation. Li et al [5] obtained the existence of periodic solution of a sandwich plate for 1:2 internal resonance and primary parametric resonance.…”

Section: Introductionmentioning

confidence: 99%