Modeling of nonlinear vibration of graphene sheets using a meshfree method based on nonlocal elasticity theory

被引：56

作者：

Zhang, L. W. ^{[1
]}

Zhang, Yang ^{[2
,3
]}

Liew, K. M. ^{[2
,3
]}

机构：

[1] Shanghai Jiao Tong Univ, Sch Naval Architecture Ocean & Civil Engn, Shanghai 200240, Peoples R China

[2] City Univ Hong Kong, Dept Architecture & Civil Engn, Kowloon, Hong Kong, Peoples R China

[3] City Univ Hong Kong, Shenzhen Res Inst, Shenzhen 518057, Peoples R China

来源：

APPLIED MATHEMATICAL MODELLING | 2017年 / 49卷

基金：

中国国家自然科学基金;

关键词：

Frequency amplitude response; Nonlocal theory; Nonlinear vibration; Graphene sheets; Meshfree method; Ritz method; KP-RITZ METHOD; FINITE-ELEMENT-METHOD; LARGE-AMPLITUDE FREE; KERNEL PARTICLE METHODS; COMPOSITE SKEW PLATES; FLEXURAL VIBRATIONS; CONTINUUM-MECHANICS; RECTANGULAR-PLATES; ISOTROPIC PLATES; CARBON NANOTUBES;

D O I：

10.1016/j.apm.2017.02.053

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Due to their valuable and unique properties, graphene sheets (GSs) have attracted increasing attention in recent years. This paper presents the mathematical modeling of the nonlinear vibration behavior of GSs using classic plate theory and nonlocal elasticity theory which accounts for the size effect. The numerical solutions are obtained through the element-free kp-Ritz method. The iteration process is dealt with using the linearized updated mode method. The transformation method is used to impose the boundary conditions. The published results are used to verify the correctness of the present nonlocal element-free kp-Ritz method. The effects of boundary conditions, side length, aspect ratio and nonlocal parameters on the frequency-amplitude response are examined. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：691 / 704

页数：14

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