Free vibration analysis of triangular CNT-reinforced composite plates subjected to in-plane stresses using FSDT element-free method

2016 ◽  
Vol 149 ◽  
pp. 247-260 ◽  
Author(s):  
L.W. Zhang ◽  
Y. Zhang ◽  
G.L. Zou ◽  
K.M. Liew
2021 ◽  
Vol 255 ◽  
pp. 112987
Author(s):  
Ping Xiang ◽  
Qing Xia ◽  
L.Z. Jiang ◽  
Linxin Peng ◽  
J.W. Yan ◽  
...  

Materials ◽  
2019 ◽  
Vol 12 (22) ◽  
pp. 3675 ◽  
Author(s):  
Tran Huu Quoc ◽  
Tran Minh Tu ◽  
Vu Van Tham

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.


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