Nonlinear Vibration Analysis of the Fluid-Filled Single Walled Carbon Nanotube with the Shell Model Based on the Nonlocal Elacticity Theory

Subject Areas : Engineering

P  Soltani ¹ (Department of Mechanical Engineering, Semnan branch, Islamic Azad university)
R  Bahramian ² (Department of Mechanical Engineering, Semnan branch, Islamic Azad university)
J  Saberian ³ (Department of Mechanical Engineering, Semnan branch, Islamic Azad university)

Received: 2014-10-23 Accepted : 2014-12-28 Published : 2015-03-30

Keywords:

References:

[1] Lee S.M., An K.H., Lee Y.H., Seifert G., Frauenheim T., 2001, A hydrogen storage mechanism in single-walled carbon nanotubes, Journal of the American Chemical Society 123: 5059-5063.
[2] Hummer G., Rasaiah J. C., Noworyta J.P., 2001, Water conduction through the hydrophobic channel of carbon nanotubes, Nature 414: 188-190.
[3] Liu J., Rinzler A. G., Dai H.J., 1998, Fulleren pipes, Science 280: 1253-1256.
[4] Yakobson B.I., Brabec C.J., Bernholc J., 1996, Nanomechanics of carbon tubes: instabilities beyond linear response, Physical Review Letters 76: 2511-2514.
[5] Yoon J., Ru C. Q., Mioduchowski A., 2005, Vibration and instability of carbon nanotubes conveying fluid, Composites Science and Technology 65: 1326-1336.
[6] Yan Y., Huang X.Q., Zhang L.X., Wang Q., 2007, Flow-induced instability of double-walled carbon nanotubes based on an elastic shell model, Journal of Applied Physics 102: 044307.
[7] Yan Y., Wang W.Q., Zhang L.X., He X.Q., 2009, Dynamical behaviors of fluid- conveyed multi-walled carbon nanotubes, Applied Mathematical Modelling 33: 1430-1440.
[8] Wang L., Ni Q., 2008, On vibration and instability of carbon nanotubes conveying fluid, Computational Materials Science 43: 399-402.
[9] khosravian N., Rafii-Tabar H., 2008, Computational modelling of a non-viscous fluid flow in a multi-walled carbon nanotube modelled as a Timoshenko beam, Nanotechnology 19: 275703.
[10] Khadem S.E., Rasekh M., 2009, Nonlinear vibration and stability analysis of axially loaded embedded carbon nanotubes conveying fluid, Applied Physics 42: 135112.
[11] Ghavanloo E., MasoudRafiei F., 2010, Vibration and instability analysis of carbon nanotubes conveying fluid and resting on a linear viscoelastic Winkler foundation, Physica E 42: 2218-2224.
[12] Dong K., Liu B.Y., Wang X., 2008, Wave propagation in fluid-filled multi-walled carbon nanotubes embedded in elastic matrix, Computational Materials Science 42: 139-148.
[13] Yan Y., Wang W.Q., Zhang L.X., 2010, Noncoaxial vibration of fluid-filled multi-walled carbon nanotubes, Applied Mathematical Modelling 34: 122-128.
[14] Yan Y., Wang W.Q., Zhang L.X., 2009, Nonlinear vibration chara cristics of fluid- filled double-walled carbon nanotubes, Modern Physics Letters B 23: 2625-2636.
[15] Eringen A.C., 2002, Nonlocal Continuum Field Theories, New York, Springer.
[16] Eringen A.C., 1976, Nonlocal Polar Field Models, New York, Academic Press.
[17] 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.
[18] Gupta S.S., Bosco F.G., Batra R.C., 2010, Wall thickness and elastic moduli of single-walled carbon nanotubes from frequencies of axial, torsional and inextensional modes of vibration, Computational Materials Science 47: 1049-1059.
[19] Amabili M., 2008, Nonlinear Vibrations and Stability of Shells and Plates, Cambridge University Press.
[20] Karagiozisa K.N., Amabili M., Paı¨doussisa M.P., Misra A.K., 2005, Nonlinear vibrations of fluid-filled clamped circular cylindrical shells, Journal of Fluids and Structures 21: 579-595.
[21] Pellicano F., Amabili M., 2003, Stability and vibration of empty and fluid-filled circular cylindrical shells under static and periodic axial loads, International Journal of Solids and Structures 40: 3229-3251.
[22] Goncalves P.B., Batista R.C, 1998, Non-linear vibration analysis of fluid-filled cylindrical shells, Journal of Sound and Vibration 127: 133-143.
[23] Amabili M., 2005, Non-linear vibrations of doubly curved shallow shells, International Journal of Non-Linear Mechanics 40: 683-710.
[24] Amabili M., Pellicano F., Paidoussis M.P., 1998, Nonlinear vibrations of simply supported circular cylindrical shells, coupled to quiescent fluid, Journal of Fluids and Structures 12: 883-918.
[25] Evensen D.A.,1967, Nonlinear Flexural Vibrations of Thin-Walled Circular Cylinders, National Aeronautics and Space Administration, Spring field.
[26] Nayfeh A.H., Mook D.T., 1995, Nonlinear Oscillations, Wiley.
[27] Liu D.K., 1998, Nonlinear Vibrations of Imperfect Thin-Walled Cylindrical Shells.
[28] Yan Y., Wang W., Zhang L.,2012, Free vibration of the fluid-filled single-walled carbon nanotube based on a double shell-potential flow model, Applied Mathematical Modeling 36: 6146-6153.
[29] 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.