Exact elasticity solution for natural frequencies of functionally graded simply-supported structures

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Stability and accuracy of three Fourier expansion‐based strong form finite elements for the free vibration analysis of laminated composite plates (2017, background): “Brischetto [15, 16] gave his contribution in this regard presenting a three-dimensional exact solution for laminated composite plates and shells.”
3D capability of refined GDQ models for the bending analysis of composite and sandwich plates, spherical and doubly-curved shells (2018, methodology): “differential equations in z to an algebraic system (see works [31-38] for further details).”
Boundary Conditions in 2D Numerical and 3D Exact Models for Cylindrical Bending Analysis of Functionally Graded Structures (2016, methodology): “The final system in closed form is developed substituting (3) and constitutive and geometrical equations (which are not here given for the sake of brevity but they can be found in detail in [32]) in (1):”