The present article deals with the nonlinear vibration and instability analysis of a bonded double-smart composite microplate system (DSCMPS) conveying microflow based on nonlocal piezoelasticity theory. Two microplates are connected together by visco-Pasternak medium and both of them made of poly-vinylidene fluoride reinforced by double walled boron nitride nanotubes (DWBNNTs). Modified Navier–Stokes relation is used to evaluate fluid–microplate interaction considering the effects of bulk viscosity and slip boundary condition. Energy method and Hamilton's principle are employed to derive motion equations with regard to von Kármán geometric nonlinearity. Also, charge equation is used to consider electromechanical coupling. Due to existence of nonlinear terms, the governing equations are solved with the help of the differential quadrature method (DQM). A detailed parametric study is conducted to elucidate the effects of the flow velocity, fluid viscosity, Knudsen number, type of elastic medium, temperature change, small scale, aspect ratio, volume fraction, and orientation angle of the DWBNNTs on the vibration and instability behaviors of the coupled DSCMPS. This study might be helpful for the design of nano-electro-mechanical systems/ micro-electro-mechanical systems.
KotsilkovaR. Thermoset nanocomposites for engineering applications, New York: Smithers Rapra Technology, 2007.
2.
MerhariHybridL. Nanocomposites for nanotechnology, New York: Springer Science, 2009.
3.
SchwartzM. Smart materials, New York: A Wiley-Interscience Publication Inc, 2002.
4.
YuVChristopherTBowenR. Electromechanical properties in composites based on ferroelectrics, London: Springer-Verlag, 2009.
5.
VangJ. The mechanics of piezoelectric structures, New York: World Scientific Publishing Co, 2006.
6.
BrockmannTH. Theory of adaptive fiber composites from piezoelectric material behavior to dynamics of rotating structures, New York: Springer, 2009.
7.
ReddyJN. Mechanics of laminated composite plates and shells: Theory and analysis, New York: CRC Press, 2003.
8.
YangJ. Especial topics in the theory of piezoelectricity, London: Springer, 2009.
9.
Ghorbanpour AraniAMohammadimehrMArefmaneshA. Transverse vibration of short carbon nanotubes using cylindrical shell and beam models. Proc IMechE, Part C: J Mechanical Engineering Science2009; 224: 745–756.
10.
WangCWMurmuTAdhikariS. Mechanisms of nonlocal effect on the vibration of nanoplates. Appl Phys Lett2011; 98: 153101–153103.
11.
PradhanSCPhadikarJK. Nonlocal elasticity theory for vibration of nanoplates. J Sound Vib2009; 325: 206–223.
12.
PradhanSCKumarA. Vibration analysis of orthotropic graphene sheets using nonlocal elasticity theory and differential quadrature method. Compos Struct2011; 93: 774–779.
13.
EringenAC. Nonlocal polar elastic continua. Int J Eng Sci1972; 10: 1–16.
14.
EringenAC. On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves. J Appl Phys1983; 54: 4703–4710.
15.
EringenAC. Nonlocal continuum field theories, New York: Springer-Verlag, 2002.
16.
ZhangHTSunCT. Nanoplate model for platelike nanomaterials. AIAA J2004; 42: 2002–2009.
17.
ZhouZGWangB. The scattering of harmonic elastic anti-plane shear waves by a Griffith crack in a piezoelectric material plane by using the non-local theory. Int J Eng Sci2002; 40: 303–317.
18.
ZhouZGWuLZDuSY. Non-local theory solution for a mode I crack in piezoelectric materials. Eur J Mech A/Solids2006; 25: 793–807.
19.
ZhouZGDuSYWuLZ. Investigation of anti-plane shear behavior of a Griffith permeable crack in functionally graded piezoelectric materials by use of the non-local theory. Compos Struct2007; 78: 575–583.
20.
Ghorbanpour AraniARoudbariMAAmirS. Nonlocal vibration of SWBNNT embedded in bundle of CNTs under a moving nanoparticle. Physica B2012; 407: 3646–3653.
21.
MurmuTAdhikariS. Nonlocal vibration of bonded double-nanoplate-systems. Compos Part B: Eng2011; 42: 1901–1911.
22.
Ghorbanpour AraniAShiravandARahiM. Nonlocal vibration of coupled DLGS systems embedded on Visco-Pasternak foundation. Physica B2012; 407: 4123–4131.
23.
Ghorbanpour AraniAKolahchiRVossoughH. Buckling analysis and smart control of SLGS using elastically coupled PVDF nanoplate based on the nonlocal Mindlin plate theory. Physica B2012; 407: 4458–4465.
24.
KeLLXiangYJYangY. Nonlinear free vibration of embedded double-walled carbon nanotubes based on nonlocal Timoshenko beam theory. Comput Mater Sci2009; 47: 409–417.
25.
YangJKeLLKitipornchaiS. Nonlinear free vibration of single-walled carbon nanotubes using nonlocal Timoshenko beam theory. Physica E2010; 42: 1727–1735.
26.
ReddyJN. Nonlocal nonlinear formulations for bending of classical and shear deformation theories of beams and plates. Int J Eng Sci2010; 48: 1507–1518.
27.
ShenLShenHSZhangCL. Nonlocal plate model for nonlinear vibration of single layer graphene sheets in thermal environments. Comput Mater Sci2010; 48: 680–685.
28.
JomehzadehESaidiAR. A study on large amplitude vibration of multilayered graphene sheets. Comput Mater Sci2011; 50: 1043–1051.
29.
TimoshenkoSPGereJM. Theory of elastic stability, 2nd ed. Tokyo: McGraw-Hill, 1959.
30.
BellmanRCastiJ. Differential quadrature and long-term integration. J Math Anal Appl1971; 34: 235–238.
31.
CivalekÖ. Application of differential quadrature (DQ) and harmonic differential quadrature (HDQ) for buckling analysis of thin isotropic plates and elastic columns. Eng Struct2004; 26: 171–186.
32.
RafieiMMohebpourSRDaneshmandF. Small-scale effect on the vibration of non-uniform carbon nanotubes conveying fluid and embedded in viscoelastic medium. Physica E2012; 44: 1372–1379.
33.
Khodami MaraghiZGhorbanpour AraniAKolahchiR. Nonlocal vibration and instability of embedded DWBNNT conveying viscose fluid. Compos Part B: Eng2012; 45: 423–432.
34.
Ghorbanpour AraniAShajariARAmirS. Electro-thermo-mechanical nonlinear nonlocal vibration and instability of embedded micro-tube reinforced by BNNT conveying fluid. Physica E2012; 45: 109–121.
35.
RashidiVMirdamadiHRShiraniE. A novel model for vibrations of nanotubes conveying nanoflow. Comput Mater Sci2012; 51: 347–352.
