Free Vibration Analysis of Laminated Functionally Graded Carbon Nanotube-Reinforced Composite Doubly Curved Shallow Shell Panels Using a New Four-Variable Refined Theory

In this paper, a new four-variable refined shell theory is developed for free vibration analysis of multi-layered functionally graded carbon nanotube-reinforced composite (FG-CNTRC) doubly curved shallow shell panels. The theory has only four unknowns and satisfies zero stress conditions at the free...

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Bibliographic Details
Published in:Journal of composites science 2019-12, Vol.3 (4), p.104
Main Authors: Van Tham, Vu, Huu Quoc, Tran, Minh Tu, Tran
Format: Article
Language:English
Subjects:
Carbon
Carbon nanotubes
Composite materials
Curved panels
Eigenvalues
Free surfaces
Free vibration
Functionally gradient materials
Kinematics
Model accuracy
Multilayers
Navier solution
Shallow shells
Shell theory
Shells
Thickness
Vibration analysis
Vibration response
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Summary:In this paper, a new four-variable refined shell theory is developed for free vibration analysis of multi-layered functionally graded carbon nanotube-reinforced composite (FG-CNTRC) doubly curved shallow shell panels. The theory has only four unknowns and satisfies zero stress conditions at the free surfaces without correction factor. Five different types of carbon nanotube (CNTs) distribution through the thickness of each FG-CNT layer are considered. Governing equations of simply supported doubly curved FG-CNTRC panels are derived from Hamilton’s principle. The resultant eigenvalue system is solved to obtain the frequencies and mode shapes of the anti-symmetric cross-ply laminated panels by using the Navier solution. The numerical results in the comparison examples have proved the accuracy and efficiency of the developed model. Detailed parametric studies have been carried out to reveal the influences of CNTs volume fraction, CNTs distribution, CNTs orientation, dimension ratios and curvature on the free vibration responses of the doubly curved laminated FG-CNTRC panels.
ISSN:2504-477X
2504-477X
DOI:10.3390/jcs3040104