Vibration analysis of micro-scaled sector shaped graphene surrounded by an elastic matrix

被引：87
作者：
Civalek, Omer [1 ]
Akgoz, Bekir [1 ]
机构：
[1] Akdeniz Univ, Fac Engn, Dept Civil Engn, Div Mech, TR-07058 Antalya, Turkey
来源：
COMPUTATIONAL MATERIALS SCIENCE | 2013年 / 77卷
关键词：
Nonlocal elasticity; Scale effect; Elastic matrix; Sector graphene; Discrete singular convolution; Vibration; DISCRETE SINGULAR CONVOLUTION; WALLED CARBON NANOTUBES; NONLOCAL ELASTICITY; WAVE-PROPAGATION; MECHANICAL-PROPERTIES; BOUNDARY-CONDITIONS; RECTANGULAR-PLATES; INTERNAL SUPPORTS; DSC ANALYSIS; CONTINUUM;
D O I：
10.1016/j.commatsci.2013.04.055
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
Free vibration analysis of micro-scaled annular sector and sector shaped graphene located on an elastic matrix are studied via nonlocal elasticity theory. An eight-node curvilinear element is used for transformation of the governing equation of motion of annular sector graphene from physical region to computational region in conjunctions with the thin plate theory. Elastic matrix is modeled via two-parameters which are Winkler-Pasternak elastic foundations. The discrete singular convolution (DSC) method is employed for numerical solution of resulting nonlocal governing differential equations and related boundary conditions. Then, the effects of nonlocal parameter, mode numbers, sector angles and foundation parameters on the frequency response of micron-scaled annular sector and sector graphene are discussed. (c) 2013 Elsevier B.V. All rights reserved.
引用
收藏
页码：295 / 303
页数：9
相关论文
共 74 条
[1]   Nonlocal third-order shear deformation plate theory with application to bending and vibration of plates [J].
Aghababaei, Ramin ;
Reddy, J. N. .
JOURNAL OF SOUND AND VIBRATION, 2009, 326 (1-2) :277-289
[2]   Application of strain gradient elasticity theory for buckling analysis of protein microtubules [J].
Akgoz, Bekir ;
Civalek, Omer .
CURRENT APPLIED PHYSICS, 2011, 11 (05) :1133-1138
[3]   Strain gradient elasticity and modified couple stress models for buckling analysis of axially loaded micro-scaled beams [J].
Akgoz, Bekir ;
Civalek, Omer .
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2011, 49 (11) :1268-1280
[4]   Levy type solution method for vibration and buckling of nanoplates using nonlocal elasticity theory [J].
Aksencer, Tolga ;
Aydogdu, Metin .
PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES, 2011, 43 (04) :954-959
[5]   Vibration characteristics of embedded multi-layered graphene sheets with different boundary conditions via nonlocal elasticity [J].
Ansari, R. ;
Arash, B. ;
Rouhi, H. .
COMPOSITE STRUCTURES, 2011, 93 (09) :2419-2429
[6]   Nonlocal plate model for free vibrations of single-layered graphene sheets [J].
Ansari, R. ;
Sahmani, S. ;
Arash, B. .
PHYSICS LETTERS A, 2010, 375 (01) :53-62
[7]   Vibration characteristics of circular nanoplates [J].
Assadi, Abbas ;
Farshi, Behrooz .
JOURNAL OF APPLIED PHYSICS, 2010, 108 (07)
[8]   Effects of shear deformation on vibration of doublewalled carbon nanotubes embedded in an elastic medium [J].
Aydogdu, Metin .
ARCHIVE OF APPLIED MECHANICS, 2008, 78 (09) :711-723
[9]   Dynamic analysis of single-layer graphene sheets [J].
Baykasoglu, Cengiz ;
Mugan, Ata .
COMPUTATIONAL MATERIALS SCIENCE, 2012, 55 :228-236
[10]  
Civalek Ö, 2010, SCI IRAN TRANS B, V17, P367
12345678