Vibration of laminated composite quadrilateral plates reinforced with graphene nanoplatelets using the element-free IMLS-Ritz method

By Hulun Guo, Shuqian Cao, Tianzhi Yang, Yushu Chen. International Journal of Mechanical Sciences, 2018

152 citations recorded by the source corpus.

Abstract This paper investigates free vibration of graphene nanoplatelet (GPL) reinforced laminated composite quadrilateral plates using the element-free IMLS-Ritz method. The effective material properties including Young's modulus, mass density and Poisson's ratio are determined by the modified Halpin–Tsai model and rule of mixture. The first-order shear deformation theory (FSDT) is employed for formulation of the energy functional. Based on the IMLS-Ritz approximation, the discrete vibration equation of the laminated composite quadrilateral plates is derived. The accuracy of the IMLS-Ritz results is examined by comparing with the published values. A comprehensive parametric study is carried out, with a particular focus on the effects of weight fraction, distribution pattern, geometry and size of GPL reinforcements, total number of layers and geometric parameters of quadrilateral plates on the natural frequencies of GPL reinforced laminated composite quadrilateral plate.

Subfields: Civil and Structural Engineering, Materials Chemistry, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/d635509e1fd0df8c77d193ea2a121c9b77a3cf4e

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In Civil and Structural Engineering

1. H. Bisheh
2. Mehran Safarpour
3. A. Forooghi
4. A. Rahimi
5. Akbar Alibeigloo
6. K. Swaminathan
7. D. Sangeetha

In Materials Chemistry

1. H. Bisheh
2. Mehran Safarpour
3. A. Forooghi
4. A. Rahimi
5. Akbar Alibeigloo
6. Kim-Meow Liew
7. Lu-Wen Zhang
8. Z. Lei

In Mechanics of Materials

1. H. Bisheh
2. Mehran Safarpour
3. A. Forooghi
4. A. Rahimi
5. Akbar Alibeigloo
6. Kim-Meow Liew
7. Lu-Wen Zhang
8. Z. Lei

Citations in the corpus

• Parametric study of three-dimensional bending and frequency of FG-GPLRC porous circular and annular plates on different boundary conditions (2019, methodology): “On the basis of FSDT, Guo et al. (2018) conducted a research on free vibration behavior of GPLs reinforced laminated composite quadrilateral plates applying element-free IMLS-Ritz method.”