[1] Wang. C. M., Tan. V. B. C., Zhang. Y. Y., Timoshenko beam model for vibration analysis of multi-walled carbon nanotubes, Journal of Sound and Vibration, Vol. 294, No. 4–5, pp. 1060-1072, 7//, 2006.
[2] Sun. C., Liu. K., Vibration of multi-walled carbon nanotubes with initial axial loading, Solid State Communications, Vol. 143, No. 4–5, pp. 202-207, 7//, 2007.
[3] Gupta. S. S., Batra. R. C., Continuum structures equivalent in normal mode vibrations to single-walled carbon nanotubes, Computational Materials Science, Vol. 43, No. 4, pp. 715-723, 10//, 2008.
[4] Georgantzinos. S. K., Giannopoulos. G. I., Anifantis. N. K., An efficient numerical model for vibration analysis of single-walled carbon nanotubes, Computational Mechanics, Vol. 43, No. 6, pp. 731-741, 2009/05/01, 2009.
[5] Ke. L. L., Xiang. Y., Yang. J., Kitipornchai. S., Nonlinear free vibration of embedded double-walled carbon nanotubes based on nonlocal Timoshenko beam theory, Computational Materials Science, Vol. 47, No. 2, pp. 409-417, 12//, 2009.
[6] Gupta. S. S., Bosco. F. G., Batra. R. C., Wall thickness and elastic moduli of single-walled carbon nanotubes from frequencies of axial, torsional and inextensional modes of vibration, Computational Materials Science, Vol. 47, No. 4, pp. 1049-1059, 2//, 2010.
[7] Ansari. R., Gholami. R., Rouhi. H., Vibration analysis of single-walled carbon nanotubes using different gradient elasticity theories, Composites Part B: Engineering, Vol. 43, No. 8, pp. 2985-2989, 12//, 2012.
[8] Ghavanloo. E., Fazelzadeh. S. A., Vibration characteristics of single-walled carbon nanotubes based on an anisotropic elastic shell model including chirality effect, Applied Mathematical Modelling, Vol. 36, No. 10, pp. 4988-5000, 10//, 2012.
[9] Aydogdu. M., Axial vibration analysis of nanorods (carbon nanotubes) embedded in an elastic medium using nonlocal elasticity, Mechanics Research Communications, Vol. 43, No. 0, pp. 34-40, 7//, 2012.
[10] Ansari. R., Ajori. S., Arash. B., Vibrations of single- and double-walled carbon nanotubes with layerwise boundary conditions: A molecular dynamics study, Current Applied Physics, Vol. 12, No. 3, pp. 707-711, 5//, 2012.
[11] Khosrozadeh. A., Hajabasi. M. A., Free vibration of embedded double-walled carbon nanotubes considering nonlinear interlayer van der Waals forces, Applied Mathematical Modelling, Vol. 36, No. 3, pp. 997-1007, 3//, 2012.
[12] Ansari. R., Sahmani. S., Small scale effect on vibrational response of single-walled carbon nanotubes with different boundary conditions based on nonlocal beam models, Communications in Nonlinear Science and Numerical Simulation, Vol. 17, No. 4, pp. 1965-1979, 4//, 2012.
[13] Fang. B., Zhen. Y. X., Zhang. C. P., Tang Y., Nonlinear vibration analysis of double-walled carbon nanotubes based on nonlocal elasticity theory, Applied Mathematical Modelling, Vol. 37, No. 3, pp. 1096-1107, 2013.
[14] Ansari. R., Arjangpay. A., Nanoscale vibration and buckling of single-walled carbon nanotubes using the meshless local Petrov–Galerkin method, Physica E: Low-dimensional Systems and Nanostructures, Vol. 63, pp. 283-292, 9//, 2014.
[15] Li. C., Li. S., Yao. L., Zhu. Z., Nonlocal theoretical approaches and atomistic simulations for longitudinal free vibration of nanorods/nanotubes and verification of different nonlocal models, Applied Mathematical Modelling, Vol. 39, No. 15, pp. 4570-4585, 8/1/, 2015.
[16] Arash. B., Wang. Q., A review on the application of nonlocal elastic models in modeling of carbon nanotubes and graphenes, Computational Materials Science, Vol. 51, No. 1, pp. 303-313, 2012.
[17] Rafiee. R., Moghadam. R. M., On the modeling of carbon nanotubes: A critical review, Composites Part B: Engineering, Vol. 56, pp. 435-449, 2014.
[18] Hosseini-Hashemi. S., Ilkhani. M. R., Fadaee. M., Accurate natural frequencies and critical speeds of a rotating functionally graded moderately thick cylindrical shell, International Journal of Mechanical Sciences, Vol. 76, pp. 9-20, 2013.
[19] Reddy. J., Nonlocal theories for bending, buckling and vibration of beams, International Journal of Engineering Science, Vol. 45, No. 2, pp. 288-307, 2007.
[20] Fazelzadeh. S., Ghavanloo. E., Nonlocal anisotropic elastic shell model for vibrations of single-walled carbon nanotubes with arbitrary chirality, Composite Structures, Vol. 94, No. 3, pp. 1016-1022, 2012.
[21] Torkaman-Asadi. M. A., Rahmanian. M., Firouz-Abadi. R. D., Free vibrations and stability of high-speed rotating carbon nanotubes partially resting on Winkler foundations, Composite Structures, Vol. 126, pp. 52-61, 8//, 2015.
[22] Wang. C., Ru. C., Mioduchowski. A., Applicability and limitations of simplified elastic shell equations for carbon nanotubes, Journal of applied mechanics, Vol. 71, No. 5, pp. 622-631, 2004.