Generalized Differential Quadrature Finite Element Method for vibration analysis of arbitrarily shaped membranes

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Strong formulation finite element method for arbitrarily shaped laminated plates - Part I. Theoretical analysis (2014, background): “They can be demonstrated to be functions of the Jacobian matrix J of the transformation (Fantuzzi 2013 and Fantuzzi et al. 2014) 131 Nicholas Fantuzzi and Francesco Tornabene , det det , det det x y x y y x y x”
Stability and accuracy of three Fourier expansion‐based strong form finite elements for the free vibration analysis of laminated composite plates (2017, methodology): “Regarding the free vibration problem of structural membranes, several comparisons were presented in the work [74], where several benchmarks were taken from the literature and compared with the SFEM.”
Static analysis of functionally graded conical shells and panels using the generalized unconstrained third order theory coupled with the stress recovery (2014, methodology): “With the in-plane stress components indirectly derived from the GDQ-solution [54–92] of the fundamental system, the integration of the three dimensional indefinite equilibrium equations is carried out.”
The strong formulation finite element method: stability and accuracy (2014, background): “The complete review of the present methodology can be found in the previous works by the authors [1-6] and in the book by the authors [7].”