Viscous Fluid Flow-Induced Nonlocal Nonlinear Vibration of Embedded DWBNNTs

Subject Areas : Engineering

A Ghorbanpour Arani ¹ (Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran--- Institute of Nanoscience & Nanotechnology, University of Kashan, Kashan, Iran)
Z Khoddami Maraghi ² (Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran)
R Kolahchi ³ (Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran)
M Mohammadimehr ⁴ (Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran)

Received: 2017-06-30 Accepted : 2017-08-31 Published : 2017-12-30

Keywords:

References:

[1] Schwartz M., 2002, Smart Materials, John Wiley and Sons, A Wiley-Interscience Publication Inc., New York.
[2] Vang J., 2006, The Mechanics of Piezoelectric Structures, World Scientific Publishing Co., USA.
[3] Shahzad Khan M.D., Shahid Khan M., 2011, Computational study of hydrogen adsorption on potassium-decorated boron nitride nanotubes, International Nano Letters 1(8): 103-110.
[4] Yan Z., Jiang L.Y., 2011, The vibrational and buckling behaviors of piezoelectric nanobeams with surface effects, Nanotechnology 22(24): 245703.
[5] Wang C.M., Tan V.B.C., Zhang Y.Y., 2006, Timoshenko beam model for vibration analysis of multi-walled carbon nanotubes, Journal of Sound and Vibration 294(4-5): 1060-1072.
[6] Wang C.M., Zhang Y.Y., He X.Q., 2007, Vibration of nonlocal Timoshenko beams, Nanotechnology 18(10): 105401-105409.
[7] Lu P., Lee H.P., Lu C., Zhang P.Q., 2007, Application of nonlocal beam models for carbon nanotubes, International Journal of Solids and Structures 44(16): 5289-5300.
[8] Chang W.J., Lee H.L., 2009, Free vibration of a single-walled carbon nanotube containing a fluid flow using the Timoshenko beam model, Physics Letters A 373(10): 982-985.
[9] Ke L.L., Xiang Y., Yang J., Kitipornchai S., 2009, Nonlinear free vibration of embedded double-walled carbon nanotubes based on nonlocal Timoshenko beam theory, Computational Materials Science 47(2): 409-417.
[10] 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(6): 1289-1299.
[11] Wang B., Zhao J., Zhou S., 2010, A micro scale Timoshenko beam model based on strain gradient elasticity theory, European Journal of Mechanics - A/Solids 29(4): 591-599.
[12] Jiang L.Y., Yan Z., 2010, Timoshenko beam model for static bending of nanowires with surface effects, Physica E: Low-dimensional Systems and Nanostructures 42(9): 2274-2279.
[13] Asghari M., Kahrobaiyan M.H., Ahmadian M.T., 2010, A nonlinear Timoshenko beam formulation based on the modified couple stress theory, International Journal of Engineering Science 48(12): 1749-1761.
[14] Yang Y., Zhang L., Lim C.W., 2011, Wave propagation in double-walled carbon nanotubes on a novel analytically nonlocal Timoshenko-beam model, Journal of Sound and Vibration 330(8): 1704-1717.
[15] Lei X.W., Natsuki T., Shi J.X., Ni Q.Q., 2012, Surface effects on the vibrational frequency of double-walled carbon nanotubes using the nonlocal Timoshenko beam model, Composites Part B: Engineering 43(1): 64-69.
[16] Shen Z.B., Li X.F., Sheng L.P., Tang G.J., 2012, Transverse vibration of nanotube-based micro-mass sensor via nonlocal Timoshenko beam theory, Computational Materials Science 53(1): 340-346.
[17] Yan Z., Jiang L.Y., 2011, Surface effects on the electromechanical coupling and bending behaviors of piezoelectric nanowires, Journal of Physics D: Applied Physics 44(7): 075404.
[18] Salehi-Khojin A., Jalili N., 2008, Buckling of boron nitride nanotube reinforced piezoelectric polymeric composites subject to combined electro-thermo-mechanical loadings, Composites Science and Technology 68(6): 1489-1501.
[19] Ghorbanpour Arani A., Amir S., Shajari A.R., Mozdianfard M.R., Khoddami Maraghi Z., Mohammadimehr M., 2011, Electro-thermal non-local vibration analysis of embedded DWBNNTs, Proceedings of the Institution of Mechanical Engineers, Part C 224(26): 745-756.
[20] Ghorbanpour Arani A., Kolahchi R., Mosallaie Barzoki A.A., 2011, Effect of material inhomogeneity on electro-thermo-mechanical behaviors of functionally graded piezoelectric rotating cylinder, Applied Mathematical Modelling 35(6): 2771-2789.
[21] Ghorbanpour Arani A., Amir S., Shajari A.R., Mozdianfard M.R., 2012, Electro-thermo-mechanical buckling of DWBNNTs embedded in bundle of CNTs using nonlocal piezoelasticity cylindrical shell theory, Composites Part B: Engineering 43(2): 195-203.
[22] Ghorbanpour Arani A., Shokravi M., Amir S., Mozdianfard M.R., 2012, Nonlocal electro-thermal transverse vibration of embedded fluid-conveying DWBNNTs, Journal of Mechanical Science and Technology 26(5): 1455-1462.
[23] Eringen A.C., 1983, On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves, Journal of Applied Physics 54(9): 4703-4710.
[24] Wang L., Ni Q., 2009, A reappraisal of the computational modelling of carbon nanotubes conveying viscous fluid, Mechanics Research Communications 36(7): 833-837.
[25] Kuang Y.D., He X.Q., Chen C.Y., Li G.Q., 2009, Analysis of nonlinear vibrations of double-walled carbon nanotubes conveying fluid, Computational Materials Science 45(4): 875-880.
[26] Karami G., Malekzadeh P., 2002, A new differential quadrature methodology for beam analysis and the associated differential quadrature element method, Computer Methods in Applied Mechanics and Engineering 191(32): 3509-3526.
[27] Ke L.L., Wang Y.S., 2011, Flow-induced vibration and instability of embedded double-walled carbon nanotubes based on a modified couple stress theory, Physica E: Low-dimensional Systems and Nanostructures 43(5): 1031-1039.
[28] 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(7): 2983-2995.
[29] Ghavanloo E., Daneshmand F., Rafiei M., 2010, Vibration and instability analysis of carbon nanotubes conveying fluid and resting on a linear viscoelastic Winkler foundation, Physica E: Low-dimensional Systems and Nanostructures 42(9): 2218-2224.
[30] Wang L., Ni Q., Li M., Qian Q., 2008, The thermal effect on vibration and instability of carbon nanotubes conveying fluid, Physica E: Low-dimensional Systems and Nanostructures 40: 3179-3182.
[31] Khodami Maraghi Z., Ghorbanpour Arani A., Kolahchi R., Amir S., Bagheri M.R., 2012, Nonlocal vibration and instability of embedded DWBNNT conveying viscose fluid, Composites Part B: Engineering 45 (1): 423-432.
[32] Ghorbanpour Arani A., Kolahchi R., Khoddami Maraghi Z., 2013, Nonlinear vibration and instability of embedded double-walled boron nitride nanotubes based on nonlocal cylindrical shell theory, Applied Mathematical Modelling 37(14-15): 7685-7707.