Ghorbanpour Arani, A., Mortazavi, S., Kolahchi, R., Ghorbanpour Arani, A. (2015). Vibration Response of an Elastically Connected Double-Smart Nanobeam-System Based Nano-Electro-Mechanical Sensor. Journal of Solid Mechanics, 7(2), 121-130.

A Ghorbanpour Arani; S.A Mortazavi; R Kolahchi; A.H Ghorbanpour Arani. "Vibration Response of an Elastically Connected Double-Smart Nanobeam-System Based Nano-Electro-Mechanical Sensor". Journal of Solid Mechanics, 7, 2, 2015, 121-130.

Ghorbanpour Arani, A., Mortazavi, S., Kolahchi, R., Ghorbanpour Arani, A. (2015). 'Vibration Response of an Elastically Connected Double-Smart Nanobeam-System Based Nano-Electro-Mechanical Sensor', Journal of Solid Mechanics, 7(2), pp. 121-130.

Ghorbanpour Arani, A., Mortazavi, S., Kolahchi, R., Ghorbanpour Arani, A. Vibration Response of an Elastically Connected Double-Smart Nanobeam-System Based Nano-Electro-Mechanical Sensor. Journal of Solid Mechanics, 2015; 7(2): 121-130.

Vibration Response of an Elastically Connected Double-Smart Nanobeam-System Based Nano-Electro-Mechanical Sensor

^{1}Faculty of Mechanical Engineering, University of Kashan--- Institute of Nanoscience & Nanotechnology, University of Kashan

^{2}Faculty of Mechanical Engineering, University of Kashan

Abstract

Nonlocal vibration of double-smart nanobeam-systems (DSNBSs) under a moving nanoparticle is investigated in the present study based on Timoshenko beam model. The two smart nanobeams (SNB) are coupled by an enclosing elastic medium which is simulated by Pasternak foundation. The energy method and Hamilton’s principle are used to establish the equations of motion. The detailed parametric study is conducted, focusing on the combined effects of the nonlocal parameter, elastic medium coefficients, external voltage, length of SNB and the mass of attached nanoparticle on the frequency of piezoelectric nanobeam. The results depict that the imposed external voltage is an effective controlling parameter for vibration of the piezoelectric nanobeam. Also increase in the mass of attached nanoparticle gives rise to a decrease in the natural frequency. This study might be useful for the design and smart control of nano-devices.

[1] Eringen A.C., 1972, Nonlocal polar elastic continua, International Journal of Engineering Science 10: 1-16. [2] Eringen A.C., 1983, On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves, Journal of Applied Physics 54: 4703- 4710. [3] Ghorbanpour Arani A., Atabakhshian V., Loghman A., Shajari A.R., Amir S., 2012, Nonlinear vibration of embedded SWBNNTs based on nonlocal Timoshenko beam theory using DQ method, Physica B: Condensed Matter 407: 2549-2555. [4] Wang Q., 2005, Wave propagation in carbon nanotubes via nonlocal continuum mechanics, Journal of Applied Physics 98: 124301. [5] Wang L.F., Hu H.Y., 2005, Flexural wave propagation in single-walled carbon nanotubes, Physical Review B 71: 195412. [6] Narendar S., Roy Mahapatra D., Gopalakrishnan S., 2011, Prediction of nonlocal scaling parameter for armchair and zigzag single-walled carbon nanotubes based on molecular structural mechanics, nonlocal elasticity and wave propagation, International Journal of Engineering Science 49: 509-522. [7] Yan Z., Jiang L.Y., 2011, The vibrational and buckling behaviors of piezoelectric nanobeams with surface effects, Nanotechnology 2: 245703. [8] Reddy J.N., 2007, Nonlocal theories for bending, buckling and vibration of beams, International Journal of Engineering Science 45: 288-307. [9] Huang G.Y., Yu S.W., 2006, Effect of surface piezoelectricity on the electromechanical behavior of a piezoelectric ring, physica Satus Solidi B 243: 22-24. [10] Yan Z., Jiang L.Y., 2008, The vibrational and buckling behaviors of piezoelectric nanobeams with surface effects, Nanotechnology 22: 245703. [11] Simsek M., 2011, Nonlocal effects in the forced vibration of an elastically connected double-carbon nanotube system under a moving nanoparticle, Computational Materials Science 50: 2112-2123. [12] Ke L.L., Wang Y.Sh., Wang Zh.D., 2008, Nonlinear vibration of the piezoelectric nanobeams based on the nonlocal theory, Composite Structures 94: 2038-2047. [13] Han J.H., Lee I., 1998, Analysis of composite plates with piezoelectric actuators for vibration control using layerwise displacement theory, Composite B: Engineering 29: 621-632. [14] Ghorbanpour Arani A., Kolahchi R., Mosallaie Barzoki A.A., 2011, Effect of material in-homogeneity on electro-thermo-mechanical behaviors of functionally graded piezoelectric rotating shaft, Applied Mathematical Modelling 35: 2771-2789. [15] Wang Q., 2002, On buckling of column structures with a pair of piezoelectric layers, Engineering Structures 24: 199-205. [16] Mosallaie Barzoki A.A., Ghorbanpour Arani A., Kolahchi R., Mozdianfard M.R., 2012, Electro-thermo-mechanical torsional buckling of a piezoelectric polymeric cylindrical shell reinforced by DWBNNTs with an elastic core, Applied Mathematical Modelling 36: 2983-2995. [17] Mohammadimehr M., Saidi A.R., Ghorbanpour Arani A., Arefmanesh A., Han Q., 2010, Torsional buckling of a DWCNT embedded on Winkler and Pasternak foundations using nonlocal theory, Journal of Mechanical Science and Technology 24: 1289-1299. [18] Ding H.J., Wang H.M., Ling D.S., 2003, Analytical solution of a pyroelectric hollow cylinder for piezothermoelastic axisymmetric dynamic problems, Journal of Thermal Stresses 26: 261-276. [19] Wang Q., 2002, Axisymmetric wave propagation in a cylinder coated with apiezoelectric layer, International Journal of Solids and Structures 39: 3023-3037. [20] Shen Zh.B., Tang H.L., Li D.K., Tang G.J, 2012, Vibration of single-layered graphene sheet-based nanomechanical sensor via nonlocal Kirchhoff plate theory, Computational Materials Science 6: 201-205.