Abstract
In this article, a four-node rectangular element called R4Sand1 is developed using a hybrid combination of the classical finite element method and Sanders’ shell theory. Utilizing an in-house code, the proposed formulation is used for the prediction of free vibration and aeroelastic instabilities of functionally graded rectangular plates with various boundary conditions. The effectiveness of the proposed new approach is investigated, revealing very good convergence behavior and accuracy. Finally, parametric studies are conducted to illustrate the influences of various parameters, such as aspect ratio, thickness, and volume fraction, on the natural frequency and critical dynamic pressure.
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