Finite strain nonlinear longitudinal vibration of nanorods

被引：6
作者：
Eren, Mehmet [1 ]
Aydogdu, Metin [2 ]
机构：
[1] Trakya Univ, Inst Sci, TR-22030 Edirne, Turkey
[2] Trakya Univ, Dept Mech Engn, TR-22030 Edirne, Turkey
来源：
ADVANCES IN NANO RESEARCH | 2018年 / 6卷 / 04期
关键词：
nonlocal elasticity; mode interactions; nonlocal elastic rod model; nonlinear axial vibration; finite strain; WALLED CARBON NANOTUBES; NONLOCAL ELASTICITY; AXIAL VIBRATION; DYNAMICS; BEHAVIOR; MICROBEAMS; INPLANE; MOTION;
D O I：
10.12989/anr.2018.6.4.323
中图分类号：
TB3 [工程材料学];
学科分类号：
0805 ; 080502 ;
摘要：
The nonlinear free vibration of a nanorod subjected to finite strain is investigated. The governing equation of motion in material configuration in terms of displacement is determined. By means of Galerkin method, the Fourier series solutions satisfying some typical boundary conditions are determined. The amplitude-ficquency relationship and interaction between the modes are studied. The effects of nonlocal elasticity are shown for different length of nanotubes and nonlocal parameter. The results show that nonlocal effects lead to additional internal modal interaction for nanorod vibrations.
引用
收藏
页码：323 / 337
页数：15
相关论文
共 45 条
[1]   Frequency domain analysis of nonlocal rods embedded in an elastic medium [J].
Adhikari, S. ;
Murmu, T. ;
McCarthy, M. A. .
PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES, 2014, 59 :33-40
[2]   Nonlinear vibrations of embedded multi-walled carbon nanotubes using a variational approach [J].
Ansari, R. ;
Hemmatnezhad, M. .
MATHEMATICAL AND COMPUTER MODELLING, 2011, 53 (5-6) :927-938
[3]   Forced vibration of nanorods using nonlocal elasticity [J].
Aydogdu, Metin ;
Arda, Mustafa .
ADVANCES IN NANO RESEARCH, 2016, 4 (04) :265-279
[4]   On the vibration of nanorods restrained by a linear spring in-span [J].
Aydogdu, Metin ;
Elishakoff, Isaac .
MECHANICS RESEARCH COMMUNICATIONS, 2014, 57 :90-96
[5]   Longitudinal wave propagation in multiwalled carbon nanotubes [J].
Aydogdu, Metin .
COMPOSITE STRUCTURES, 2014, 107 :578-584
[6]   Axial vibration of the nanorods with the nonlocal continuum rod model [J].
Aydogdu, Metin .
PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES, 2009, 41 (05) :861-864
[7]   Non-linear transverse vibrations of tensioned nanobeams using nonlocal beam theory [J].
Bagdatli, Suleyman M. .
STRUCTURAL ENGINEERING AND MECHANICS, 2015, 55 (02) :281-298
[8]   Nonlinear vibration properties of a zigzag single-walled carbon nanotube embedded in a polymer matrix [J].
Besseghier, Abderrahmane ;
Heireche, Houari ;
Bousahla, Abdelmoumen Anis ;
Tounsi, Abdelouahed ;
Benzair, Abdelnour .
ADVANCES IN NANO RESEARCH, 2015, 3 (01) :29-37
[9]   Bending and buckling analyses of functionally graded material (FGM) size-dependent nanoscale beams including the thickness stretching effect [J].
Chaht, Fouzia Larbi ;
Kaci, Abdelhakim ;
Houari, Mohammed Sid Ahmed ;
Tounsi, Abdelouahed ;
Beg, O. Anwar ;
Mahmoud, S. R. .
STEEL AND COMPOSITE STRUCTURES, 2015, 18 (02) :425-442
[10]   Nonlinear free vibrations of curved double walled carbon nanotubes using differential quadrature method [J].
Cigeroglu, Ender ;
Samandari, Hamed .
PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES, 2014, 64 :95-105
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