Melnikov's method for chaos of the nanoplate postulating nonlinear foundation

被引：11

作者：

Zhang, Xiaohua ^{[1
]}

Zhou, Liangqiang ^{[2
]}

机构：

[1] Jiangsu Inst Commerce, Sch Informat Technol, Nanjing 210016, Jiangsu, Peoples R China

[2] Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing 210016, Jiangsu, Peoples R China

来源：

APPLIED MATHEMATICAL MODELLING | 2018年 / 61卷

基金：

中国国家自然科学基金;

关键词：

Nanoplate; Melnikov; Heteroclinic orbit; Chaos; NONLOCAL ELASTICITY THEORY; VIBRATION ANALYSIS; WAVE-PROPAGATION; GRAPHENE SHEETS; NANOMATERIALS; MODEL;

D O I：

10.1016/j.apm.2018.05.003

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this brief communication, Melnikov's method is adopted to investigate the chaotic behaviors of a nanoplate postulating nonlinear Winkler foundation. The critical curves separating the chaotic and non-chaotic regions are found. It is presented that the chaotic behaviors can occur when the parameters are chosen in the chaotic regions. Numerical simulations verify the theoretical analytical results. The results provide some inspiration and guidance for the analysis and dynamic design of this nanoplate. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：744 / 749

页数：6

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