Giunta, G.; Iannotta, D.A.; Montemurro, M. A FEM Free Vibration Analysis of Variable Stiffness Composite Plates through Hierarchical Modeling. Materials2023, 16, 4643.
Giunta, G.; Iannotta, D.A.; Montemurro, M. A FEM Free Vibration Analysis of Variable Stiffness Composite Plates through Hierarchical Modeling. Materials 2023, 16, 4643.
Giunta, G.; Iannotta, D.A.; Montemurro, M. A FEM Free Vibration Analysis of Variable Stiffness Composite Plates through Hierarchical Modeling. Materials2023, 16, 4643.
Giunta, G.; Iannotta, D.A.; Montemurro, M. A FEM Free Vibration Analysis of Variable Stiffness Composite Plates through Hierarchical Modeling. Materials 2023, 16, 4643.
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 plates 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.
Results demonstrate that mixed theories provide the best approximation of the reference solution in all cases.
Keywords
Free Vibration Analysis; Finite Element Method; Variable Angle Tow Plates; Carrera's Unified Formulation; Reissner's Mixed Variational Theorem
Subject
Engineering, Aerospace Engineering
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
