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Post-Buckling and Panel Flutter of Pre-Heated Functionally Graded Plates

Wei Xia^1,2,*, Weilin Kong¹, Yupeng Feng¹, Shengping Shen^1,2,*

1 State Key Laboratory for Strength and Vibration of Mechanical Structures, School of Aerospace Engineering, Xi’an Jiaotong University, Xi’an 710049, China
2 Shaanxi Engineering Laboratory for Vibration Control of Aerospace Structures, School of Aerospace Engineering, Xi'an Jiaotong University, Xi'an 710049, China

* Corresponding Authors: Wei Xia. Email: ; Shengping Shen. Email:

The International Conference on Computational & Experimental Engineering and Sciences 2022, 24(1), 1-2. https://doi.org/10.32604/icces.2022.08765

Abstract

Post-buckling and panel flutter behaviors of ceramic-metal FGM plates are studied for the skins of supersonic aircrafts. The effects of asymmetric material and temperature distributions, as well as the aerodynamic loads, on the thermo-mechanical response of FGM plates are discussed using finite element simulations. The aero-thermo-elastic model is established by using the simple power law material distribution, the rule of mixture for material effective properties, the nonlinear Fourier equations of heat conduction, von-Karman strain-displacement nonlinear relations, and the piston theory for supersonic aerodynamics. The finite element equations are established using the first-order shear deformable plate elements. The thermal post-buckling equilibrium deflections are calculated from the reduced-order model, and the flutter stability is furtherly evaluated around these equilibriums. The post-buckling equilibriums are found asymmetric about the initial position of the plate, and the critical flutter speed from the post-buckling model is much higher than the linear flutter speed on the initial position. Numerical results show that the effect of thermal gradient on the postbuckling deflection of FGM plate decreases with the increase of the material gradient index. With the increase in volume fraction of ceramics (decrease in volume fraction index), the critical flutter aerodynamic pressure of the ceramic/ metal plate increases. The flutter response amplitude increases with the increase in volume fraction index.

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Keywords

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