Keywords: Department of Innovation Engineering, University of Salento, Italy.

In the present contribution, a static and a free vibration analysis of anisotropic doublycurved shells is performed employing higher order theories according to the Equivalent Single Layer (ESL) approach. A unified formulation is adopted for the description of the field variable, and the geometry of the structure is described by means of a set of curvilinear principal coordinates within the reference surface. The fundamental governing equations are derived from the Hamiltonian Principle, and both natural and non-conventional boundary conditions are enforced to the model. General distributions of external surface loads are applied to the structure. The numerical implementation of the differential problem is performed directly in the strong form via the Generalized Differential Quadrature (GDQ). The model is validated with success from a comparison several refined three-dimensional solutions developed with commercial packages. Furthermore, sensitivity analyses outline the influence of the main governing parameters on the static and dynamic structural response.

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