[1] رفیعی، ر.، "تحلیل ارتعاشات غیرخطی نانولوله کربنی با استفاده از تئوری اغتشاشات"، مهندسی مکانیک مدرس، دوره 12، شماره 3، صص 60-67، (1391).
[2] Hu, Y.G., Liew, K.M., and Wang, Q., “Modeling of Vibrations of Carbon Nanotubes”, Procedia Engineering, Vol. 31, pp. 343-347, (2012).
[3] Firouz-Abadi, R.D., and Hosseinian, A.R., “Free Vibrations of Single-walled Carbon Nanotubes in the Vicinity of a Fully Constrained Graphene Sheet”, Computational Materials Science, Vol. 53, No. 1, pp. 12-17, (2012).
[4] Yoon, J., Ru, C.Q., and Mioduchowski, A., “Vibration of an Embedded Multiwall Carbon Nanotube”, Composite Science and Technology, Vol. 63, No. 11, pp. 1533-1542, (2003).
[5] Yan, Y., He, X.Q., Zhang, L.X., and Wang, C.M., “Dynamic Behavior of Triple-walled Carbon Nanotubes Conveying Fluid”, Journal of Sound and Vibration, Vol. 319, No. 3-5, pp. 1003-1018, (2009).
[6] Fu, Y.M., Hong, J.W., and Wang, X.Q., “Analysis of Nonlinear Vibration for Embedded Carbon Nanotubes”, Journal of Sound and Vibration, Vol. 296, No. 4-5, pp. 746-756, (2006).
[7] Zhang, Y., Liu, G., and Han, X., “Transverse Vibrations of Double-walled Carbon Nanotubes under Compressive Axial Load”, Physics Letters A, Vol. 340, No. 1–4, pp. 258-266, (2005).
[8] Yoon, J., Ru, C.Q., and Mioduchowski, A., “Vibration and Instability of Carbon Nanotubes Conveying Fluid”, Composites Science and Technology, Vol. 65, No. 9, pp. 1836-1850, (2005).
[9] Yoon, J., Ru, C.Q., and Mioduchowski, A., “Flow-induced Flutter Instability of Cantilever Carbon Nanotubes”, International Journal of Solids and Structures, Vol. 43, No. 11-12, pp. 3337-3349, (2006).
[10] Ni, Q., Zhang, Z.L., and Wang, L., “Application of the Differential Transformation Method to Vibration Analysis of Pipes Conveying Fluid”, Applied Mathematics and Computation, Vol. 217, No. 16, pp. 7028-7038, (2011).
[11] Rasekh, M., and Khadem, S., “Nonlinear Vibration and Stability Analysis of Axially Loaded Embedded Carbon Nanotubes Conveying Fluid”, Journal of Physics D: Applied Physics, Vol. 42, No. 13, pp.135112, (2009).
[12] Soltani, P., Taherian, M.M., and Farshidianfar, A., “Vibration and Instability of a Viscous-fluid-conveying Single-walled Carbon Nanotube Embedded in a Visco-elastic Medium”, Journal of Physics D: Applied Physics, Vol. 43, No. 42, pp. 425401, (2010).
[13] Wang, L., “A Modified Nonlocal Beam Model for Vibration and Stability of Nanotubes Conveying Fluid”, Physica E: Low-dimensional Systems and Nanostructures, Vol. 44, No. 1, pp. 25-28, (2011).
[14] Rafiei, M., Mohebpour, S.R., and Daneshmand, F., “Small-scale Effect on the Vibration of Non-uniform Carbon Nanotubes Conveying Fluid and Embedded in Viscoelastic Medium”, Physica E: Low-dimensional Systems and Nanostructures, Vol. 44, No. 7-8, pp. 1372-1379, (2012).
[15] Li, J.J., and Cheng, C.J., “Differential Quadrature Method for Nonlinear Vibration of Orthotropic Plates with Finite Deformation and Transverse Shear Effect”, Journal of Sound and Vibration, Vol. 281, No. 1-2, pp. 295–309, (2005).
[16] Gorman, D.G., Reese, J.M., and Zhangh, Y.L., “Vibration of a Flexible Pipe Conveying Viscous Pulsating Fluid Flow”, Journal of Sound and Vibration, Vol. 230, No. 2, pp. 379-392, (2000).
[17] Paidoussis, M.P., “Fluid-structure Interactions: Slender Structures and Axial Flow”, Vol. 1, pp. 71-76, Academic Press, California, (1998).
[18] Wang, L., “Vibration and Instability Analysis of Tubular Nano- and Micro-beams Conveying Fluid using Nonlocal Elastic Theory”, Physica E, Vol. 41, No. 10, pp. 1835-1840, (2009).
[19] Khadem, S.E., and Rezaee, M., “Non-linear Vibration Analysis of a String under Bending Moment Effects using the Perturbation Method”, Journal of Sound and Vibration, Vol. 254, No. 4, pp. 677-691, (2002).
[20] Nayfeh, A.H., and Mook, D.T., “Nonlinear Oscillations”, John Wiley & Sons, New York, (1979).
[21] Wang, L., Ni, Q., and Li, M., “Buckling Instability of Double-wall Carbon Nanotubes Conveying Fluid”, Computational Materials Science, Vol. 44, No. 2, pp. 821-825, (2008).
[22] Shampine, L.F., and Corless, R.M., “Initial Value Problems for ODEs in Problem Solving Environments”, Journal of Computational and Applied Mathematics, Vol. 125, No. 1, pp. 31-40, (2000).
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