期刊
INTERNATIONAL JOURNAL OF APPLIED MECHANICS
卷 13, 期 6, 页码 -出版社
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S1758825121500691
关键词
Non-rectangular plate; Kerr foundation; dynamical characteristics; analytical method; Finite Element Analysis
类别
资金
- Hanoi University of Science and Technology [T2021-PC-035]
A new plate structure, called the sinusoidal plate, is introduced in this paper with changes in profile according to the sine function. The nonlinear vibration behavior of these plates reinforced by functionally graded graphene nanoplatelets is estimated using classical plate theory and Galerkin's technique. The introduced approach is proven to be fast, highly accurate, and involves uncomplicated calculation through validation with numerical outcomes and previous research.
In this paper, a new plate structure has been found with the change of profile according to the sine function which we temporarily call as the sinusoidal plate. The classical plate theory and Galerkin's technique have been utilized in estimating the nonlinear vibration behavior of the new non-rectangular plates reinforced by functionally graded (FG) graphene nanoplatelets (GNPs) resting on the Kerr foundation. The FG-GNP plates were assumed to have two horizontal variable edges according to the sine function. Four different configurations of the FG-GNP plates based on the number of cycles of sine function were analyzed. The material characteristics of the GNPs were evaluated in terms of two models called the Halpin-Tsai micromechanical model and the rule of mixtures. First, to verify this method, the natural frequencies of new non-rectangular plates made of metal were compared with those obtained by the Finite Element Method (FEM). Then, the numerical outcomes are validated by comparing with the previous papers for rectangular FGM/GNP plates - a special case of this structure. Furthermore, the impacts of the thermal environment, geometrical parameters, and the elastic foundation on the dynamical responses are scrutinized by the 2D/3D graphical results and coded in Wolfram-Mathematica. The results of this work proved that the introduced approach has the advantages of being fast, having high accuracy, and involving uncomplicated calculation.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据