A beam formulation with 3D capabilities for the free vibration analysis of thin-walled metallic and composite structures



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
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: 18 Oct 2021 16:10
DOI: 10.1016/j.tws.2019.106441
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3059166