Alnujaie Ali, Yahya Alshahrani Mohammad, Salahaddin Ibrahim Wessim, Yasin Yaser, Salam Obaid Zahraa, J Alhani Israa, Khaddour Mohammad Hasan, K Hadrawi Salema, Riyahi Yaassin, Ghazwani M H
Mechanical Engineering Department, Faculty of Engineering, Jazan University, P.O.Box 45142, Jazan, Kingdom of Saudi Arabia.
Department of Clinical Laboratory Sciences, College of Applied Medical Sciences, King Khalid University, Abha, Saudi Arabia.
Heliyon. 2023 Jul 17;9(9):e18379. doi: 10.1016/j.heliyon.2023.e18379. eCollection 2023 Sep.
In this work, the quasi-3D hyperbolic shear deformation theory (quasi-3D HSDT) is utilized to examine the dynamics of thick rectangular plates reinforced with rectangular nanofillers known as graphene nanoplatelets (GNPs). Agglomeration of the GNPs is incorporated and the mechanical characteristics like shear, elastic, and bulk moduli, Poisson's ratio, and density are analysed according to the mixture along with the Eshelby-Mori-Tanaka approach. Hamilton's principle is hired to derive the solving equations, the Navier approach is hired to present an analytical solution in the spatial domain, and the Newmark method is hired to provide an approximate solution in the time domain. The relevance of the dynamic response and the natural frequencies of the plate on several parameters are explored such as dispersion pattern and the GNPs percentage and agglomeration parameters. It is discovered that for a specific GNPs percentage, growth in the amount of agglomerated GNPs leads to lower natural frequencies and higher dynamic deflection. Meanwhile, for a specific mass fraction of the agglomerated GNPs, growth in the volume of clusters brings about higher natural frequencies and lower dynamic deflection.
在这项工作中，采用准三维双曲剪切变形理论（quasi-3D HSDT）来研究由称为石墨烯纳米片（GNPs）的矩形纳米填料增强的厚矩形板的动力学。考虑了GNPs的团聚情况，并根据混合物以及埃舍尔比-森-田中方法分析了诸如剪切模量、弹性模量、体积模量、泊松比和密度等力学特性。采用哈密顿原理推导求解方程，采用纳维方法在空间域给出解析解，并采用纽马克方法在时间域提供近似解。探讨了板的动态响应和固有频率与几个参数的相关性，如色散模式、GNPs百分比和团聚参数。研究发现，对于特定的GNPs百分比，团聚GNPs数量的增加会导致固有频率降低和动态挠度增加。同时，对于团聚GNPs的特定质量分数，团簇体积的增加会导致固有频率升高和动态挠度降低。
