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Free Vibration Analysis of Smart Laminated Functionally Graded CNT Reinforced Composite Plates via New Four-Variable Refined Plate Theory

Faculty of Industrial and Civil Engineering, National University of Civil Engineering, Hanoi 100000, Vietnam
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Materials 2019, 12(22), 3675; https://doi.org/10.3390/ma12223675 (registering DOI)
Received: 14 September 2019 / Revised: 26 October 2019 / Accepted: 5 November 2019 / Published: 7 November 2019
This paper presents a new four-variable refined plate theory for free vibration analysis of laminated piezoelectric functionally graded carbon nanotube-reinforced composite plates (PFG-CNTRC). The present theory includes a parabolic distribution of transverse shear strain through the thickness and satisfies zero traction boundary conditions at both free surfaces of the plates. Thus, no shear correction factor is required. The distribution of carbon nanotubes across the thickness of each FG-CNT layer can be functionally graded or uniformly distributed. Additionally, the electric potential in piezoelectric layers is assumed to be quadratically distributed across the thickness. Equations of motion for PFG-CNTRC rectangular plates are derived using both Maxwell’s equation and Hamilton’s principle. Using the Navier technique, natural frequencies of the simply supported hybrid plate with closed circuit and open circuit of electrical boundary conditions are calculated. New parametric studies regarding the effect of the volume fraction, the CNTs distribution, the number of layers, CNT fiber orientation and thickness of the piezoelectric layer on the free vibration response of hybrid plates are performed.
Keywords: free vibration; four-variable refined plate theory; piezoelectric material; FG-CNTRC; laminated composite free vibration; four-variable refined plate theory; piezoelectric material; FG-CNTRC; laminated composite
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MDPI and ACS Style

Huu Quoc, T.; Minh Tu, T.; Van Tham, V. Free Vibration Analysis of Smart Laminated Functionally Graded CNT Reinforced Composite Plates via New Four-Variable Refined Plate Theory. Materials 2019, 12, 3675.

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