Abstract
The analytical solutions of supersonic flutter of porous functionally graded plates are investigated. The material properties of the plates (stiffness and density) vary according to a power law across the thickness and axial coordinates depending on the volume fraction of constituent materials. Their equilibrium and stability equations are derived based on the classical plate theory. The solution of the problem is derived using the Rayleigh–Ritz method and the Mathematica package. An optimization problem is formulated and solved for plates of infinite width.
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