Investigation on flutter instability of magnetic-electric-thermo-elastic functionally graded plates in the supersonic airflow with any yawed angle

This paper proposes a general approach to deal with flutter instability of the magnetic-electric-thermo-elastic functionally graded plates (METE-FGPPs) subject to supersonic airflow with any yawed angle. The unified method is established on the basis of the first order shear deformation theory and the supersonic piston theory. Various boundary conditions, two porosity distributions and three temperature distributions are taken into consideration. The material properties and temperature gradient distribution changing continuously along the thickness are evaluated according to Voigt model and the formulations of motion equations of METE-FGPPs can be derived by adopting Rayleigh-Ritz method. In order to satisfy various boundary conditions easily, the physical spring technology is used. The displacement functions can be expressed by using the characteristic orthogonal polynomials to improve the convergence of the numerical calculations. Firstly, the convergence of the present method is confirmed by verifying the convergence of the physical spring and truncated numbers. Then, the versatility, stability and accuracy are verified by some numerical examples and experiments. Finally, the influences of the key parameters, including power law indexes, boundary conditions, magnetic potential, electric voltage, temperature and yawed flow angles etc, on the flutter instability of the METE-FGPPs are discussed in detail.