Xiaona Yin, Jing Li, Bin He, "The Periodic Solution of Hypersonic Functionally Graded Plate Subjected to Aero-Thermal Load," WSEAS Transactions on Mathematics, vol. 13, pp. 363-373, 2014, DOI:
Xiaona Yin, Jing Li, Bin He. The Periodic Solution of Hypersonic Functionally Graded Plate Subjected to Aero-Thermal Load.
WSEAS Transactions on Mathematics. 2014;13:363-373.
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 13, 2014
The Periodic Solution of Hypersonic Functionally Graded Plate Subjected to Aero-Thermal Load
Authors: , ,
Abstract: In this paper, the periodic solution of hypersonic functionally graded plate subjected to aero-thermal load with two degrees of freedom is investigated. Firstly, the average equations in 1:2 internal resonances are obtained by using multi-scale method. Based on the Poincare mapping and the Melnikov function, we get the sufficient condition for the existence of periodic solution about the system. Then we obtain the phase diagrams of the solution which were under different parameters by using Matlab. The simulation results demonstrate the sufficient condition which we have got is correct. Finally, by using the integral manifold theory and average method, we analyze the stability of the periodic orbit.
Pages: 363-373 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 13, 2014, Art. #34 DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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