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A FEM Free Vibration Analysis of Variable Stiffness Composite Plates through Hierarchical Modeling

Article dans une revue avec comité de lecture
Author
GIUNTA, Gaetano
480071 Luxembourg Institute of Science and Technology [LIST]
IANNOTTA, Domenico Andrea
480071 Luxembourg Institute of Science and Technology [LIST]
ccMONTEMURRO, Marco
1002421 Institut de Mécanique et d'Ingénierie [I2M]

URI
http://hdl.handle.net/10985/24980
DOI
10.3390/ma16134643
Date
2023-06-27
Journal
Materials

Abstract

Variable Angle Tow (VAT) laminates offer a promising alternative to classical straight-fiber composites in terms of design and performance. However, analyzing these structures can be more complex due to the introduction of new design variables. Carrera’s unified formulation (CUF) has been successful in previous works for buckling, vibrational, and stress analysis of VAT plates. Typically, one-dimensional (1D) and two-dimensional (2D) CUF models are used, with a linear law describing the fiber orientation variation in the main plane of the structure. The objective of this article is to expand the CUF 2D plate finite elements family to perform free vibration analysis of composite laminated plate structures with curvilinear fibers. The primary contribution is the application of Reissner’s mixed variational theorem (RMVT) to a CUF finite element model. The principle of virtual displacements (PVD) and RMVT are both used as variational statements for the study of monolayer and multilayer VAT plate dynamic behavior. The proposed approach is compared to Abaqus three-dimensional (3D) reference solutions, classical theories and literature results to investigate the effectiveness of the developed models. The results demonstrate that mixed theories provide the best approximation of the reference solution in all cases.

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