The paper focuses on a bi-dimensional (2D) formulation for the dynamic and static analysis of arbitrary shaped laminated doubly-curved shells enforced with general boundary conditions via the Generalized Differential Quadrature (GDQ). Following the Equivalent Single Layer approach, a 2D theory based on a miscel laneous assessment of the displacement field variable is provided, accounting for different higher order theories. The geometry of the structure is described with a set of principal coordinates. The fundamental equations are derived from the Hamil tonian principle, together with the natural boundary conditions. Unconventional constraints are assessed by means of in-plane and out-of-plane sets of linear elastic springs distributed along the shell edges. The accuracy of the formulation is out lined by means of a series of validating examples. Doubly-curved shells of variable thickness and different curvatures enforced with non-conventional boundary con ditions are investigated. In particular, mode frequencies and shapes, as well as the static three-dimensional deflection of the structure, have been calculated employ ing different kinematic assumptions. The results have been successfully compared to predictions by high-computationally demanding Finite Element simulations. The methodology outlined in this chapter well predicts with a reduced computational effort both the static and the dynamic response of generally anisotropic laminated structures embedding all the effects that are usually depicted by 3D formulations.
Structural Analysis of Doubly-Curved Shells with General Boundary Conditions
Tornabene F.
;Viscoti M.;Dimitri R.
2022-01-01
Abstract
The paper focuses on a bi-dimensional (2D) formulation for the dynamic and static analysis of arbitrary shaped laminated doubly-curved shells enforced with general boundary conditions via the Generalized Differential Quadrature (GDQ). Following the Equivalent Single Layer approach, a 2D theory based on a miscel laneous assessment of the displacement field variable is provided, accounting for different higher order theories. The geometry of the structure is described with a set of principal coordinates. The fundamental equations are derived from the Hamil tonian principle, together with the natural boundary conditions. Unconventional constraints are assessed by means of in-plane and out-of-plane sets of linear elastic springs distributed along the shell edges. The accuracy of the formulation is out lined by means of a series of validating examples. Doubly-curved shells of variable thickness and different curvatures enforced with non-conventional boundary con ditions are investigated. In particular, mode frequencies and shapes, as well as the static three-dimensional deflection of the structure, have been calculated employ ing different kinematic assumptions. The results have been successfully compared to predictions by high-computationally demanding Finite Element simulations. The methodology outlined in this chapter well predicts with a reduced computational effort both the static and the dynamic response of generally anisotropic laminated structures embedding all the effects that are usually depicted by 3D formulations.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
