Thermal-vibration investigation of a functionally graded doubly-curved sandwich structure using three dimensional spectral-Chebyshev approach

Anamagh, Mirmeysam Rafiei and Day, Richard (2025) Thermal-vibration investigation of a functionally graded doubly-curved sandwich structure using three dimensional spectral-Chebyshev approach. Engineering Analysis with Boundary Elements, 179 (106428). ISSN 0955-7997

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Abstract

This research presents a novel three-dimensional numerical approach to investigate the dynamic behavior of doubly-curved sandwich structures reinforced with functionally graded material face-sheets. A three-dimensional spectral Chebyshev method is developed to solve the resulting integral boundary value problem, which incorporates the effects of temperature variation across the sandwich structure. To facilitate the numerical implementation, a mapping technique is employed to transform the complex geometry into a simplified computational domain using appropriate transformation equations. The proposed spectral Chebyshev approach is validated by computing the natural frequencies of selected sandwich configurations and comparing them with results available in the literature. In addition to the validation study, extensive parametric analyses are performed to assess the influence of various material parameters (such as the power-law index of the FGM) and geometric parameters (including curvature magnitude and length ratios) on the natural frequencies of the structure. Furthermore, the effects of different thermal gradients across the thickness are systematically examined under various boundary conditions. The findings highlight the critical role of thermal variation and boundary support conditions in altering the dynamic response of sandwich structures. This study provides valuable insights for the design and optimization of advanced composite structures subjected to thermo-mechanical environments.

Item Type: Article
Keywords: Composites, Sandwich-structured composite, Functionally graded, Spectral Chebyshev, Thermal
Depositing User: Hayley Dennis
Date Deposited: 13 Apr 2026 11:24
Last Modified: 13 Apr 2026 11:24
URI: https://wrexham.repository.guildhe.ac.uk/id/eprint/18431

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