Strong formulation finite element method based on differential quadrature: a survey

F Tornabene, N Fantuzzi… - Applied …, 2015 - asmedigitalcollection.asme.org
A survey of several methods under the heading of strong formulation finite element method
(SFEM) is presented. These approaches are distinguished from classical one, termed weak …

Higher order theories for the vibration study of doubly-curved anisotropic shells with a variable thickness and isogeometric mapped geometry

F Tornabene, M Viscoti, R Dimitri, JN Reddy - Composite Structures, 2021 - Elsevier
Anisotropic materials are widely used in many complex structures and panels, whose
modelling can represent a challenging issue for engineers, especially when variable …

2-D differential quadrature solution for vibration analysis of functionally graded conical, cylindrical shell and annular plate structures

F Tornabene, E Viola, DJ Inman - Journal of Sound and Vibration, 2009 - Elsevier
This paper focuses on the dynamic behavior of functionally graded conical, cylindrical shells
and annular plates. The last two structures are obtained as special cases of the conical shell …

Higher order formulations for doubly-curved shell structures with a honeycomb core

F Tornabene, M Viscoti, R Dimitri, MA Aiello - Thin-Walled Structures, 2021 - Elsevier
Anisotropic doubly-curved shells reinforced with a honeycomb core are innovative structures
for applications in civil, biomedical, and aerospace engineering. In this context, the …

Application of differential quadrature (DQ) and harmonic differential quadrature (HDQ) for buckling analysis of thin isotropic plates and elastic columns

Ö Civalek - Engineering Structures, 2004 - Elsevier
The main purpose of this study is to compare the methods of differential quadrature (DQ)
and harmonic differential quadrature (HDQ). For this purpose, DQ and HDQ methods are …

Free vibration analysis of laminated doubly-curved shells with arbitrary material orientation distribution employing higher order theories and differential quadrature …

F Tornabene, M Viscoti, R Dimitri - Engineering Analysis with Boundary …, 2023 - Elsevier
In the present work, the dynamic behaviour of laminated anisotropic doubly-curved shells
characterized by a generalized distribution of the material orientation angle is investigated …

Higher order theories for the modal analysis of anisotropic doubly-curved shells with a three-dimensional variation of the material properties

F Tornabene, M Viscoti, R Dimitri - Engineering Analysis with Boundary …, 2024 - Elsevier
The manuscript investigates the dynamic properties of doubly-curved shell structures
laminated with innovative materials employing the Generalized Differential Quadrature …

Higher-order modeling of anisogrid composite lattice structures with complex geometries

F Tornabene, M Viscoti, R Dimitri, MA Aiello - Engineering Structures, 2021 - Elsevier
The work investigates the vibration behaviour of anisogrid composite lattice shell structures,
typically formed by a system of geodesic unidirectional composite ribs. A homogenization …

Dynamic analysis of anisotropic doubly-curved shells with general boundary conditions, variable thickness and arbitrary shape

F Tornabene, M Viscoti, R Dimitri, L Rosati - Composite Structures, 2023 - Elsevier
In the present contribution a general formulation is proposed to account for general
boundary conditions within the dynamic analysis of anisotropic laminated doubly-curved …

Static analysis of anisotropic doubly-curved shells with arbitrary geometry and variable thickness resting on a Winkler-Pasternak support and subjected to general …

F Tornabene, M Viscoti, R Dimitri - Engineering Analysis with Boundary …, 2022 - Elsevier
Laminated doubly-curved shells constituted by innovative materials have become a
standard application in several engineering fields. However, this requires a proper …