The Necessary Condition for the Existence of the Periodic Solution of Honeycomb Sandwich Plate Dynamics Model

Ting Ting Quan; Jing Li; Xin Li; Shao Tao Zhu

doi:10.4028/www.scientific.net/AMM.668-669.281

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 668-669The Necessary Condition for the Existence of the...

The Necessary Condition for the Existence of the Periodic Solution of Honeycomb Sandwich Plate Dynamics Model

Abstract:

In this paper we investigate the necessary condition for the existence of the periodic solution of honeycomb sandwich plate dynamic system of two-degree-of-freedom. We establish the curvilinear coordinates frame on closed orbits of the unperturbed system of the honeycomb sandwich plate dynamic system and construct successor function. Then we get the necessary condition of the existence of periodic solution by judging the existence of the successor functions. The existence of periodic solutions is important for studying the stability of sandwich plates.

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Applied Mechanics and Materials (Volumes 668-669)

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281-284

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.668-669.281

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Online since:

October 2014

Authors:

Ting Ting Quan, Jing Li, Xin Li, Shao Tao Zhu

Keywords:

Curvilinear Coordinates, Honeycomb Sandwich Plate Dynamics Model, Periodic Solution, Successor Function

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