Free Vibration Analysis of Laminated CNTRC Plates using the pb2-Ritz Method

Abstract

This paper presents the free vibration analysis of laminated functionally graded carbon nanotube reinforced composite (FG-CNTRC) plates. The CNTRC layer consists of single-walled carbon nanotubes (SWCNTs) as reinforcement and polymer as a matrix. The material properties are determined according to the extended rule of mixture. Four different patterns of SWCNTs distribution across the thickness of individual layers are considered. Based on the first-order shear deformation theory (FSDT), the equations of motion are derived and then solved by employing the pb2-Ritz method. The accuracy of the present approach is verified by comparing the obtained results with those available in the literature and commercial ANSYS software. The significant influences of CNT volume fractions, CNT distribution patterns, plate aspect ratio, plate width-to-thickness ratio, and boundary conditions on the non-dimensional fundamental frequency of symmetric and anti-symmetric laminated FG-CNTR plates has been proven through the numerical examples. Furthermore, the influence of lamination schemes, CNT fiber orientation and the number of layers is also investigated.

Modal Analysis of Delaminated Flax Fibre Reinforced Epoxy Composite Plate

“…The material properties of the FFRE composite plate were obtained from work done by Daoud et al [9], as shown in Table 1, while the dimension of the square plate was set to be 0.25 m. The boundary conditions that will be considered are four-edge simply supported (SSSS), four-edge clamped (CCCC) and cantilever (CFFF). The stacking sequences that were studied in this project are 8 , and [90°] 8 . The delamination sizes considered are 0.0% (intact), 12.5%, 25%, 50%, and 75% square delamination located at the centre and between the middle plies.…”

“…Meon et al [7] developed a three-dimensional progressive damage finite element model to detect delamination and examine the failure modes and structural response of carbon fibre reinforced epoxy composite subjected to low-velocity impact loading. Hung et al [8] conducted a free vibration analysis of laminated functionally graded carbon nanotubereinforced composite (FG-CNTRC) plates with four different patterns of single-walled carbon nanotubes (SWCNTs) by using the pb2-Ritz method.…”

Buckling response of functionally graded multilayer graphene platelet-reinforced composite plates with circular/elliptical cutouts supporting on an elastic foundation under normal and shear loads

“…They showed that GPLs with a bigger surface area and comprising fewer single-GPL laminates may provide better reinforcing influence; however, for GPL aspect ratios and widthto-thickness ratios more than 4 and 1000, critical buckling force and post-buckling path will be almost identical. Furthermore, many studies have been implemented to show that functionally graded nanofiller distribution patterns also play a key role in the structural response of composite structures (Pradhan and Phadikar, 2010;Lei et al, 2015;Zhang et al, 2015;Bui et al, 2016;Lin et al, 2017;Ansari et al, 2018;García-Macías et al, 2018;Lin et al, 2018;Muni Rami Reddy et al, 2018;Shahrjerdi and Yavari, 2018;Yang et al, 2018;Nguyen et al, 2019;Thai et al, 2019;Hung et al, 2021;Saiah et al, 2022).…”