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Open AccessArticle

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

Faculty of Industrial and Civil Engineering, National University of Civil Engineering, Hanoi 100000, Vietnam
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J. Compos. Sci. 2019, 3(4), 104; https://doi.org/10.3390/jcs3040104
Received: 31 October 2019 / Revised: 25 November 2019 / Accepted: 28 November 2019 / Published: 1 December 2019
(This article belongs to the Special Issue Multifunctional Composites)
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. View Full-Text
Keywords: free vibration analysis; doubly-curved shell and panel; nano-composites; functionally graded carbon nanotube-reinforced composite (FG-CNTRC); four-variable refined shell theory free vibration analysis; doubly-curved shell and panel; nano-composites; functionally graded carbon nanotube-reinforced composite (FG-CNTRC); four-variable refined shell theory
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MDPI and ACS Style

Van Tham, V.; Huu Quoc, T.; Minh Tu, T. Free Vibration Analysis of Laminated Functionally Graded Carbon Nanotube-Reinforced Composite Doubly Curved Shallow Shell Panels Using a New Four-Variable Refined Theory. J. Compos. Sci. 2019, 3, 104.

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