Propagation of Waves in Thin Nanorod With the Effect of Thermal Field
DOI:
https://doi.org/10.26713/cma.v15i2.2749Keywords:
Timoshenko beam theory, Wave number, Phase velocity, Wave propagation, Thermal fieldAbstract
In this paper, thermal response for the propagation of waves in thin nanorod is studied with the Timoshenko beam theory. The important role for vibrational analysis of the rod and characteristics of the flexural waves is discussed. Numerical calculations are derived and the scattered relations between the wavenumber and wave velocities are computed.
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M. Aydogdu, Axial vibration of the nanorods with the nonlocal continuum rod model, Physica E: Low-dimensional Systems and Nanostructures 41(5) (2009), 861 – 864, DOI: 10.1016/j.physe.2009.01.007.
A. Bahrami, Free vibration, wave power transmission and reflection in multi cracked nanorods, Composites Part B: Engineering 127 (2017), 53 – 62, DOI: 10.1016/j.compositesb.2017.06.024.
S.B. Dong, C. Alpdogan and E. Taciroglu, Much ado about shear correction factors in Timoshenko beam theory, International Journal of Solids and Structures 47(13) (2010), 1651 – 1665, DOI: 10.1016/j.ijsolstr.2010.02.018.
I. Elishakoff, Who developed the so-called Timoshenko beam theory?, Mathematics and Mechanics of Solids 25(1) (2020), 97 – 116, DOI: 10.1177/1081286519856931.
K.F Graff, Wave Motion in Elastic Solids, Dover Publications Inc., 688 pages (1991).
Z. Huang, Nonlocal effects of longitudinal vibration in nanorod with internal long-range interactions, International Journal of Solids and Structures 49(15-16) (2012), 2150 – 2154, DOI: 10.1016/j.ijsolstr.2012.04.020.
T. Murmu and S. Adhikari, Nonlocal effects in the longitudinal vibration of double-nanorod systems, Physica E: Low-dimensional Systems and Nanostructures 43(1) (2010), 415 – 422, DOI: 10.1016/j.physe.2010.08.023.
H.D. Nelson, A finite rotating shaft element using Timoshenko beam theory, Journal of Mechanical Design 102(4) (1980), 793 – 803, DOI: 10.1115/1.3254824.
N.G. Stephen and S. Puchegger, On the valid frequency range of Timoshenko beam theory, Journal of Sound and Vibration 297(3-5) (2006), 1082 – 1087, DOI: 10.1016/j.jsv.2006.04.020.
C.M. Wang, S. Kitipornchai, C.W. Lim and M. Eisenberger, Beam bending solutions based on nonlocal Timoshenko beam theory, Journal of Engineering Mechanics 134(6) (2008), 475 – 481, DOI: 10.1061/(ASCE)0733-9399(2008)134:6(475).
Y. Yang, L. Zhang and C.W. Lim, Wave propagation in double-walled carbon nanotubes on a novel analytically nonlocal Timoshenko-beam model, Journal of Sound and Vibration 330(8) (2011), 1704 – 1717, DOI: 10.1016/j.jsv.2010.10.028.
Y. Yang, W. Yan and J. Wang, Study on the small-scale effect on wave propagation characteristics of fluid-filled carbon nanotubes based on nonlocal fluid theory, Advances in Mechanical Engineering 11(1) (2019), 1 – 9, DOI: 10.1177/1687814018823324.
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