Natural Frequency of Rotating Single-Walled Carbon Nanotubes with Considering Gyroscopic Effect

Subject Areas : Engineering

A  Fatahi-Vajari ¹ (Department of Mechanical Engineering, Shahryar Branch, Islamic Azad University, Shahryar, Iran)
Z  Azimzadeh ² (Young Researchers and Elite Club, Yadegar-e-Imam Khomeini (RAH) Shahr-e-Rey Branch, Islamic Azad University, Tehran, Iran)

Received: 2019-11-08 Accepted : 2020-01-07 Published : 2020-03-01

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References:

[1] Iijima S., 1991, Helical microtubes of graphitic carbon, Nature 354: 56-58.
[2] Basirjafari S., Khadem S. E., Malekfar R., 2013, Radial breathing mode frequencies of carbon nanotubes for determination of their diameters, Current Applied Physics 13: 599-609.
[3] Fatahi-Vajari A., 2018, A new method for evaluating the natural frequency in radial breathing like mode vibration of double-walled carbon nanotubes, ZAMM 98(2): 255-269.
[4] Rao S. S., 2000, Mechanical Vibrations, Addison-Wesley Publishing Company, Massachusetts.
[5] 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 in extensional modes of vibration, Computational Materials Science 47: 1049-1059.
[6] Fatahi-Vajari A., Imam A., 2016, Torsional vibration of single-walled carbon nanotubes using doublet mechanics, ZAMP 67: 81.
[7] Ferrari M., Granik V. T., Imam A., Nadeau J., 1997, Advances in Doublet Mechanics, Springer, Berlin.
[8] Fatahi-Vajari A., Imam A., 2016, Analysis of radial breathing mode of vibration of single-walled carbon nanotubes via doublet mechanics, ZAMM 96(9): 1020-1032.
[9] Eringen A. C., 1972, Nonlocal polar elastic, International Journal of Engineering Science 10: l-16.
[10] Basirjafari S., Esmaielzadeh Khadem S., Malekfar R., 2013, Validation of shell theory for modeling the radial breathing mode of a single-walled carbon nanotube, IJE Transactions A 26(4): 447-454.
[11] Fatahi-Vajari A., Imam A., 2016, Axial vibration of single-walled carbon nanotubes using doublet mechanics, Indian Journal of Physics 90(4): 447-455.
[12] Fatahi-Vajari A., Imam A., 2016, Lateral vibration of single-layered graphine sheets using doublet mechanics, Journal of Solid Mechanics 8(4): 875-894.
[13] Ghorbanpour Arani A., 2015, Surface effect on vibration of Y-SWCNTs embedded on Pasternak foundation conveying viscose fluid, Journal of Nanostructures 5(1): 33-40.
[14] Ghorbanpour Arani A.H., Rastgoo A., Ghorbanpour Arani A., Zarei M. Sh., 2016, Nonlocal vibration of Y-SWCNT conveying fluid considering a general nonlocal elastic medium, Journal of Solid Mechanics 8(2): 232-246.
[15] Ansari R., Gholami R., Rouhi H., 2012, Vibration analysis of single-walled carbon nanotubes using different gradient elasticity theories, Composites: Part B 43: 2985-2989.
[16] Ghorbanpour Arani A., Kolahchi R., Jamali M., Mosayyebi M., Alinaghian I., 2017, Dynamic instability of visco-SWCNTs conveying pulsating fluid based on sinusoidal surface couple stress theory, Journal of Solid Mechanics 9(2): 225-238.
[17] Clerck J. D., 2014, Topics in Modal Analysis I , Springer, Cham.
[18] Gopalakrishnan S., Narendar S., 2013, Wave Propagation in Nanostructures, Nonlocal Continuum Mechanics Formulations, Springer, Cham.
[19] Huang J., Han Q., 2016, Controllable nanoscale rotating actuator system based on carbon nanotube and graphene, Nanotechnology 27: 1-9.
[20] Mirtalaie S. H., Hajabasi M. A., 2017, Nonlinear axial-lateral-torsional free vibrations analysis of Rayleigh rotating shaft, Archive of Applied Mechanics 87: 1465-1494.
[21] Cai K., Li Y., Qin Q.H., Yin H., 2014, Gradient less temperature-driven rotating motor from a double-walled carbon nanotube, Nanotechnology 25: 1-6.
[22] Ebrahimi F., Shaghaghi Gh. R., 2015, Vibration analysis of an initially pre-stressed rotating carbon nanotube employing differential transform method, International Journal Advanced Design and Manufacturing Technology 8(4): 13-21.
[23] Ishida Y., Yamamoto T., 2012, Linear and Nonlinear Rotordynamics, Wiley-VCH, Weinheim.
[24] Nahvi H., Boroojeni M.E., 2013, Free Vibrations of a rotating single-walled carbon nanotube embedded in an elastic medium based on nonlocal elasticity theory, Acta Physica Polonica A 123: 304-306.
[25] Hayat T., Haider F., Muhammad T., Alsaedi A., 2017, Three-dimensional rotating flow of carbon nanotubes with Darcy, Forchheimer Porous Medium 12(7):e0179576.1-e0179576.18.
[26] Pradhan S.C., Murmu T., 2010, Application of nonlocal elasticity and DQM in the flapwise bending vibration of a rotating nanocantilever, Physica E: Low-dimensional Systems and Nanostructures 42(7): 1944-1949.
[27] Murmu T., Adhikari S., 2012, Scale-dependent vibration analysis of prestressed carbon nanotubes undergoing rotation, Journal of Applied Physics 108(12): 123507.1-123507.7.
[28] Narendar S., Gopalakrishnan S., 2011, Nonlocal wave propagation in rotating nanotube, Results in Physics 1(1): 17-25.