Nonlinear vibration of embedded SWBNNTs based on nonlocal Timoshenko beam theory using DQ method

被引：62

作者：

Arani, A. Ghorbanpour ^{[1
,2
]}

Atabakhshian, V. ^{[1
]}

Loghman, A. ^{[1
]}

Shajari, A. R. ^{[1
]}

Amir, S. ^{[1
]}

机构：

[1] Univ Kashan, Fac Engn, Dept Mech Engn, Kashan, Iran

[2] Univ Kashan, Inst Nanosci & Nanotechnol, Kashan, Iran

来源：

PHYSICA B-CONDENSED MATTER | 2012年 / 407卷 / 13期

关键词：

Nonlinear vibration; Nonlocal piezoelasticity; SWBNNTs; Timoshenko beam; DQ method; CARBON NANOTUBES; MODELS;

D O I：

10.1016/j.physb.2012.03.065

中图分类号：

O469 [凝聚态物理学];

学科分类号：

070205 ;

摘要：

In the present work, effect of von Karman geometric nonlinearity on the vibration behavior of a single-walled born nitride nanotube (SWBNNT) is investigated based on the nonlocal piezoelasticity theory. The SWBNNT is considered as a nonobeam within the framework of Timoshenko beam (TB). Loading is composed of a temperature change and an imposed axially electric potential throughout the SWBNNT. The interactions between the SWBNNT and its surrounding elastic medium are simulated by Winkler and Pasternak foundation models. The higher order governing equations of motion are derived using Hamilton's principle and the numerical solution of equations is obtained using Differential Quadrature (DQ) method. The effects of geometric nonlinearity, elastic foundation modulus, electric potential field, temperature change and nonlocal parameter on the frequency of the SWBNNT are studied in detail. (C) 2012 Elsevier B.V. All rights reserved.

引用

页码：2549 / 2555

页数：7

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