Free vibration analysis of functionally graded graphene-reinforced nanocomposite beams with temperature-dependent properties

Abstract

A temperature-dependent vibration analysis is conducted for the functionally graded nanocomposite beams which are reinforced by graphene. Material properties are assumed to change along the beams in five different types based upon the graphene distribution with a specific function. The differential equations of motion are extracted and solved using the spectral numerical method for the beams under various boundary conditions. The effect of distribution of functionally graded nanocomposite in the thickness direction of beams on the frequency response of vibration, and the effect of various parameters on the vibration response has been examined, such as the distribution function of nanographene plates, weight percentage, dimensions of nanographene plates, temperature changes, and thickness ratio. The results are compared and validated with numerical and analytical results reported in references for manifold boundary conditions. It is seen that the increase of graphene weight percentage in all boundary conditions will cause an increase in the natural frequency of the beams.

Wave propagation characteristics of the electrically GNP-reinforced nanocomposite cylindrical shell

“…Researches proved that subjoining even a very meager amount of graphene into primary polymer matrix can desperately improve its mechanical, thermal and electrical properties [5][6][7][8][9]. It is worse to mention that nanostructures reinforced with GNP are more applicable in engineering design, so focus on dynamic modeling of the nanostructure with GNP reinforcement is useful and important.…”

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).…”

Vibration analysis of functionally graded graphene oxide-reinforced composite beams using a new Ritz-solution shape function

“…A functionally graded material (FGM) is a novel type of composite in which the mechanical properties vary smoothly and continuously in a preferred direction [2][3][4][5]. For better utilization of the superior mechanical properties of carbon nanofillers and inspired from the concept of FGMs, functionally graded carbon nanotube-reinforced composites (FG-CNTRCs) [6][7][8] and functionally graded graphene nanoplatelet-reinforced composites (FG-GPLRCs) [9][10][11] have been introduced, in which the weight fractions of CNTs and GPLs vary in the thickness direction.…”