Fazzolari, FA ORCID: 0000-0002-7321-6772
(2020)
A beam formulation with 3D capabilities for the free vibration analysis of thin-walled metallic and composite structures.
Thin-Walled Structures, 146.
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Abstract
The present article proposes an advanced Ritz formulation with 3D capabilities for the analysis of thin-walled metallic and composite beam structures. Various set of admissible functions such as: Legendre, Chebyshev and algebraic polynomials, as well as hybrid functions are employed. The investigation is carried out by using the method of power series expansion of displacement components based on 2D-Taylor polynomials. The governing equations (GEs) are derived in their weak form via Hamilton's Principle and are solved by using the Ritz method. Convergence and stability of both cross-section and admissible functions have been thoroughly analysed. The high level of accuracy of the proposed formulation has been comprehensively examined in three selected case studies: (i) slender beams with arbitrary boundary conditions, and both solid and thin-walled cross-sections; (ii) a fully-clamped three-layer non-homogenous circular cylindrical shell; (iii) a fully-clamped functionally graded material (FGM) box resting on two-parameter elastic foundation.
Item Type: | Article |
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Uncontrolled Keywords: | Quasi-3D beam theories, Ritz method, Thin-walled structures, Non-homogeneous materials, Circular cylindrical shells, FGM box |
Depositing User: | Symplectic Admin |
Date Deposited: | 23 Oct 2019 08:05 |
Last Modified: | 19 Jan 2023 00:21 |
DOI: | 10.1016/j.tws.2019.106441 |
Related URLs: | |
URI: | https://livrepository.liverpool.ac.uk/id/eprint/3059166 |