HIGHER-ORDER THEORIES FOR DOUBLY-CURVED LAMINATEDANISOTROPIC SHELL STRUCTURES WITH GENERALIZED DIFFERENTIALQUADRATURE METHOD
DOI:
https://doi.org/10.58225/sw.2025.2-4-16Keywords:
anisotropic materials, doubly-curved shells, equivalent single layer, generalized differential quadratureAbstract
A refined two-dimensional (2D) formulation is presented for evaluating the static and free vibrational response of laminated anisotropic doubly-curved shell structures. The model is based on a unified formulation and accounts for a kinematic model which uses higherorder polynomials. The governing equations are derived from the Hamilton principle in principal coordinates, explicitly accounting for curvature effects and arbitrarily shaped external
surface loads. A numerical solution is obtained by approximating the strong form governing equations with the Generalized Differential Quadrature (GDQ) method. In the post-processing, the strain and stress distributions of the corresponding three-dimensional (3D) solid are
reconstructed through an equilibrium-based recovery procedure. Some numerical examples are provided to validate the model against reference 3D finite-element solutions obtained with commercial software. In addition, the influence of the through-the-thickness kinematic model
on the accuracy of the results is assessed for both natural frequency prediction and static response of the laminate. The proposed approach provides an efficient and reliable tool for analyzing doubly-curved laminated structures made of advanced materials, offering high accuracy with reduced computational cost.
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5. Tornabene, F., Viscoti, M., and Dimitri, R., “On the importance of the recovery procedure in the semi-analytical solution for the static analysis of curved laminated panels: comparison with 3D finite elements”, Materials, 17, 588 (2024).
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Copyright (c) 2025 Francesco Tornabene, Matteo Viscoti, Rossana Dimitri (Author)
This work is licensed under a Creative Commons Attribution 4.0 International License.
