Forced transverse vibrations of an elastically connected nonlocal orthotropic double-nanoplate system subjected to an in-plane magnetic field

被引：36

作者：

Atanasov, Marija Stamenkovic ^{[1
]}

Karlicic, Danilo ^{[1
]}

Kozic, Predrag ^{[2
]}

机构：

[1] Serbian Acad Arts & Sci, Math Inst, Kneza Mihaila 36, Belgrade 11000, Serbia

[2] Univ Nis, Fac Mech Engn, A Medvedeva 14, Nish 18000, Serbia

来源：

ACTA MECHANICA | 2017年 / 228卷 / 06期

关键词：

LAYERED GRAPHENE SHEETS; MOLECULAR-DYNAMICS; CARBON NANOTUBES; PLATE MODEL; WAVES;

D O I：

10.1007/s00707-017-1815-6

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

Nonlocal forced transversal vibrations of an orthotropic double-nanoplate system are considered in this paper. Both nanoplates are rectangular, simply supported, and coupled by a Winkler elastic medium. In order to take into account small-scale effects, we use Eringen's nonlocal continuum theory. Based on the nonlocal constitutive relation and Kirchhoff-Love plate theory, the system of two coupled nonhomogeneous partial differential equations of motion is derived, where the effects of the Lorentz magnetic force are obtained via a Maxwell relation. Analytical methods are employed to consider the dynamic responses of the orthotropic double-nanoplate system for three different cases of external transversal load. Also, closed-form solutions of the response amplitudes for forced vibration are derived and then validated with the existing results. The nonlocal parameter, magnetic fields, and exciting loads are discussed in detail for all three cases.

引用

页码：2165 / 2185

页数：21

共 38 条

[31]

Reddy JN., 2004, Mechanics of laminated composite plates and shells: theory and analysis

[32] Nanostructure-based electrical biosensors [J].

Roy, Somenath ;

Gao, Zhiqiang .

NANO TODAY, 2009, 4 (04) :318-334

[33] Effects of size and surface on the elasticity of silicon nanoplates: Molecular dynamics and semi-continuum approaches [J].

Sadeghian, Hamed ;

Goosen, Johannes F. L. ;

Bossche, Andre ;

Thijsse, Barend J. ;

van Keulen, Fred .

THIN SOLID FILMS, 2011, 520 (01) :391-399

[34] Nonlocal buckling and vibration analysis of thick rectangular nanoplates using finite strip method based on refined plate theory [J].

Sarrami-Foroushani, Saeid ;

Azhari, Mojtaba .

ACTA MECHANICA, 2016, 227 (03) :721-742

[35]

Szirtes Thomas., 2006, Applied Dimensional Analysis and Modeling, V2nd

[36] Electromechanical behavior of a fully plastic actuator based on dispersed nano-carbon/ionic-liquid-gel electrodes [J].

Takeuchi, Ichiroh ;

Asaka, Kinji ;

Kiyohara, Kenji ;

Sugino, Takushi ;

Terasawa, Naohiro ;

Mukai, Ken ;

Shiraishi, Soshi .

CARBON, 2009, 47 (05) :1373-1380

[37] Size effect on the static, dynamic and buckling analysis of orthotropic Kirchhoff-type skew micro-plates based on a modified couple stress theory: comparison with the nonlocal elasticity theory [J].

Tsiatas, George C. ;

Yiotis, Aristophanes J. .

ACTA MECHANICA, 2015, 226 (04) :1267-1281

[38] Towards advanced chemical and biological nanosensors - An overview [J].

Yonzon, CR ;

Stuart, DA ;

Zhang, XY ;

McFarland, AD ;

Haynes, CL ;

Van Duyne, RP .

TALANTA, 2005, 67 (03) :438-448

← 1 2 3 4 →