Finite element predictions on vibrations of laminated composite plates incorporating the random orientation, agglomeration, and waviness of carbon nanotubes

In the present article, the vibration analysis of laminated composite plates strengthened with multi-walled carbon nanotubes (MWCNTs) is performed, employing the finite element method. Rule of mixtures and the Halpin–Tsai model are utilized to ascertain the elastic properties of the nanocomposite ma...

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Bibliographic Details
Published in:Acta mechanica 2022-05, Vol.233 (5), p.2031-2059
Main Authors: Georgantzinos, Stelios K., Antoniou, Panagiotis, Markolefas, Stylianos, Giannopoulos, Georgios
Format: Article
Language:English
Subjects:
Agglomeration
Analysis
Carbon
Classical and Continuum Physics
Composite structures
Control
Dynamical Systems
Elastic properties
Engineering
Engineering Fluid Dynamics
Engineering Thermodynamics
Epoxy resins
Finite element method
Heat and Mass Transfer
Laminar composites
Laminated materials
Mechanical properties
Modulus of elasticity
Multi wall carbon nanotubes
Nanocomposites
Nanotubes
Numerical methods
Orientation effects
Original Paper
Resonant frequencies
Solid Mechanics
Theoretical and Applied Mechanics
Vibration
Vibration analysis
Waviness
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Summary:In the present article, the vibration analysis of laminated composite plates strengthened with multi-walled carbon nanotubes (MWCNTs) is performed, employing the finite element method. Rule of mixtures and the Halpin–Tsai model are utilized to ascertain the elastic properties of the nanocomposite matrix. The effect of random orientation, the curved state, and the agglomeration of carbon nanotubes in the epoxy resin on mechanical properties is investigated. Classical lamination theory is also implemented to theoretically estimate the natural frequencies for validation purposes. Then, the natural frequencies of the laminated composite plates are determined by the numerical method for various parameters involved in the design process. The effect of MWCNTs’ inclusion on the natural frequencies of the carbon nanotube-based laminated plate, taking into account the reformed micromechanical Halpin–Tsai model, is finally investigated. The outcomes of the research are in compliance with experimental values and theoretical evidence available in the bibliography.
ISSN:0001-5970
1619-6937
DOI:10.1007/s00707-022-03179-6