Size-dependent free vibration and dynamic analyses of piezo-electro-magnetic sandwich nanoplates resting on viscoelastic foundation

被引：89
作者：
Arefi, Mohammad [1 ]
Zenkour, Ashraf M. [2 ,3 ]
机构：
[1] Univ Kashan, Fac Mech Engn, Dept Solid Mech, Kashan 8731751167, Iran
[2] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi Arabia
[3] Kafrelsheikh Univ, Fac Sci, Dept Math, Kafrelsheikh 33516, Egypt
来源：
PHYSICA B-CONDENSED MATTER | 2017年 / 521卷
关键词：
Sandwich nanoplate; Visco-Pasternak's foundation; Size effect; Vibration; Electro-magneto-mechanical bending; NONLOCAL ELASTICITY THEORY; WAVE-PROPAGATION ANALYSIS; STRAIN GRADIENT THEORY; COUPLE STRESS THEORY; PLATE-THEORY; BOUNDARY-CONDITIONS; FACE-SHEETS; ENVIRONMENT; MICROBEAM; NANOBEAMS;
D O I：
10.1016/j.physb.2017.06.066
中图分类号：
O469 [凝聚态物理学];
学科分类号：
070205 ;
摘要：
In this paper, size-dependent free vibration analysis of a sandwich nanoplate is presented. The sandwich nanoplate is including an elastic nano core and two piezo-electro-magnetic face-sheets as sensor and actuator actuated by electric and magnetic potentials. The sandwich nanoplate is resting on visco-Pasternak's foundation. Hamilton's principle is employed to derive the governing equations of motion based on Kirchhoff plate and nonlocal elasticity theory. The numerical results are presented to study the influence of important parameters of the problem such as applied electric and magnetic potentials, nonlocal parameter and visco-Pasternak's parameters. Furthermore, the influence of various boundary conditions is discussed on the vibration characteristics of the sandwich nanoplate.
引用
收藏
页码：188 / 197
页数：10
相关论文
共 45 条
[1]   Nonlinear vibration analysis of laminated composite Mindlin micro/nano-plates resting on orthotropic Pasternak medium using DQM [J].
Arani, A. G. ;
Jafari, G. S. .
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2015, 36 (08) :1033-1044
[2]   Electro-magneto wave propagation analysis of viscoelastic sandwich nanoplates considering surface effects [J].
Arani, A. Ghorbanpour ;
Jamali, M. ;
Ghorbanpour-Arani, A. H. ;
Kolahchi, R. ;
Mosayyebi, M. .
PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART C-JOURNAL OF MECHANICAL ENGINEERING SCIENCE, 2017, 231 (02) :387-403
[3]  
Arefi M., SMART MAT STRUCT, V25, P1016
[4]  
Arefi M, 2017, INT J SMART NANO MAT, V8, P20, DOI 10.1080/19475411.2017.1292967
[5]   Wave propagation analysis of a functionally graded magneto-electro-elastic nanobeam rest on Visco-Pasternak foundation [J].
Arefi, Mohammad ;
Zenkour, Ashraf M. .
MECHANICS RESEARCH COMMUNICATIONS, 2017, 79 :51-62
[6]   Thermo-electro-mechanical bending behavior of sandwich nanoplate integrated with piezoelectric face-sheets based on trigonometric plate theory [J].
Arefi, Mohammad ;
Zenkour, Ashraf M. .
COMPOSITE STRUCTURES, 2017, 162 :108-122
[7]   Free vibration, wave propagation and tension analyses of a sandwich micro/nano rod subjected to electric potential using strain gradient theory [J].
Arefi, Mohammad ;
Zenkour, Ashraf M. .
MATERIALS RESEARCH EXPRESS, 2016, 3 (11)
[8]   Nonlocal electro-thermo-mechanical analysis of a sandwich nanoplate containing a Kelvin-Voigt viscoelastic nanoplate and two piezoelectric layers [J].
Arefi, Mohammad ;
Zenkour, Ashraf M. .
ACTA MECHANICA, 2017, 228 (02) :475-493
[9]   Vibration and bending analysis of a sandwich microbeam with two integrated piezo-magnetic face-sheets [J].
Arefi, Mohammad ;
Zenkour, Ashraf M. .
COMPOSITE STRUCTURES, 2017, 159 :479-490
[10]   Size-dependent vibration and bending analyses of the piezomagnetic three-layer nanobeams [J].
Arefi, Mohammed ;
Zenkour, Ashraf M. .
APPLIED PHYSICS A-MATERIALS SCIENCE & PROCESSING, 2017, 123 (03)
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