and Applied Mechanics
57, 1, pp. 193-205, Warsaw 2019
DOI: 10.15632/jtam-pl.57.1.193
On the eigenmodes and eigenfrequencies of low-dimensional degenerated carbon structures: obtaining natural frequencies of ideal and structurally defected systems
carbon nanostructures under the influence of different boundary conditions. In addition,
an attempt has been made to investigate the relative deviation of the natural frequency of
imperfect systems and to study the effect of defected regions on vibrational stability of the
particles. It has been found that a single and pinhole vacancy defect have the least and the
most impact on the natural frequency of nanostructures. Furthermore, the effect of CNT
diameter on natural frequencies of low-dimensional systems has also been investigated in
this research.
References
Ardeshana B., Jani U., Patel A., Joahi A.Y., 2017, An approach to modelling and simulation
of single-walled carbon nanocones for sensing applications, AIMS Materials Science, 4, 1010-1028
Bogush I., Ciobu V., Paladi F., 2017, Advanced computational method for studying molecular
vibrations and spectra for symmetrical systems with many degrees of freedom, and its application
to fullerene, The European Physical Journal B, 90, 193
Chandra N., Namilae S., 2006, Tensile and compressive behavior of carbon nanotubes: effect
of functionalization and topological defects, Mechanics of Advanced Materials and Structures, 13, 115-127
Hollerer S., Celigoj C.C., 2013, Buckling analysis of carbon nanotubes by a mixed atomistic
and continuum model, Computational Mechanics, 51, 765-789
Iijima S., 1991, Helical microtubules of graphitic carbon, Nature, 354, 56
Imani Yengejeh S., Akbar Zadeh M., ¨ Ochsner A., 2014a, On the buckling behavior of
connected carbon nanotubes with parallel longitudinal axes, Applied Physics A, 115, 1335-1344
Imani Yengejeh S., Akbar Zadeh M., ¨ Ochsner A., 2015a, On the tensile behavior of heterojunction
carbon nanotubes, Composites Part B, 75, 274-280
Imani Yengejeh S., Kazemi S.A., ¨ Ochsner A., 2014b, A numerical evaluation of the influence
of atomic modification on the elastic and shear behavior of connected carbon nanotubes with
parallel longitudinal axes, Journal of Nano Research, 29, 93-104
Imani Yengejeh S., Kazemi S.A., ¨ Ochsner A., 2015b, On the buckling behavior of curved
carbon nanotubes, [In:] Mechanical and Materials Engineering of Modern Structure and Component
Design, A. ¨Ochsner, H. Altenbach (Eds.), Switzerland, Springer International Publishing, 70, 401-412
Imani Yengejeh S., Kazemi S.A., ¨ Ochsner A., 2016, Advances in mechanical analysis of
structurally and atomically modified carbon nanotubes and degenerated nanostructures: A review,
Composites Part B: Engineering, 86, 95-107
Imani Yengejeh S., ¨ Ochsner A., 2015, Influence of twisting and distortion on the mechanical
properties of carbon nanotubes, Journal of Computational and Theoretical Nanoscience, 12, 443-448
Kuang Y.D., He X.Q., 2009, Young’s moduli of functionalized single-wall carbon nanotubes
under tensile loading, Composites Science and Technology, 69, 169-175
Lu J.P., 1997, Elastic properties of carbon nanotubes and nanoropes, Physical Review Letters, 79, 1297-1300
Mohammadian M., Hosseini S.M., Abolbashari M.H., 2017, Free vibration analysis of dissimilar
connected CNTs with atomic imperfections and different locations of connecting region,
Physica B: Condensed Matter, 524, 34-46
Mylvaganam K., Vodenitcharova T., Zhang L.C., 2006, The bending-kinking analysis of a
single-walled carbon nanotube – a combined molecular dynamics and continuum mechanics technique,
Journal of Materials Science, 41, 3341-3347
Ruoff R.S., Lorents D.C., 1995, Mechanical and thermal properties of carbon nanotubes,
Carbon, 33, 925-930
Tserpes K.I., Papanikos P., 2007, The effect of Stone-Wales defect on the tensile behavior and
fracture of single-walled carbon nanotubes, Composite Structures, 79, 581-589
Yao X.-H., Han Q., Xin H., 2008, Bending buckling behaviors of single- and multi-walled carbon
nanotubes, Computational Materials Science, 43, 579-590