[1] Iijima S., 1991, Helical microtubules of graphitic carbon, Nature 354: 56-58.
[2] Lim C.W., Li C., Yu J.L., 2010, Dynamic behavior of axially moving nanobeams based on nonlocal elasticity approach, Acta Mechanica Sinica 26: 755-265.
[3] Zhen Y., Fang B., 2010, Thermal–mechanical and nonlocal elastic vibration of single-walled carbon nanotubes conveying fluid, Computational Materials Science 49: 276-282.
[4] Fang B., Xin Y., Zhen C., Ping Z., Tang Y., 2013, Nonlinear vibration analysis of double-walled carbon nanotubes based on nonlocal elasticity theory, Applied Mathematical Modelling 37: 1096-1107.
[5] Wang L., Ni Q., 2009, A reappraisal of the computational modelling of carbon nanotubes conveying viscous fluid, Mechanics Research Communications 36:833-837.
[6] Soltani P., Farshidianfar A., 2012, Periodic solution for nonlinear vibration of a fluid-conveying carbon nanotube, based on the nonlocal continuum theory by energy balance method, Applied Mathematical Modelling 36: 3712-3724.
[7] Ghorbanpour Arani A., Shajari A.R., Amir S., Loghman A., 2012, Electro-thermo-mechanical nonlinear nonlocal vibration and instability of embedded micro-tube reinforced by BNNT, conveying fluid, Physica E 45: 109-121.
[8] Mirramezani M., Mirdamadi H.R., 2012, The effects of Knudsen-dependent flow velocity on vibrations of a nano-pipe conveying fluid, Archive of Applied Mechanics 82: 879-890.
[9] Rashidi V., Mirdamadi H.R., Shirani E., 2012, A novel model for vibrations of nanotubes conveying nano flow, Computational Materials Science 51: 347-352.
[10] Wang L., 2010, Vibration analysis of fluid-conveying nanotubes with consideration of surface effect, Physica E 43: 437-439.
[11] Gurtin M.E., Murdoch A.I., 1975, A continuum theory of elastic material surface, Archive for Rational Mechanics and Analysis 57(4): 291-323.
[12] Gurtin M.E., Murdoch A.I., 1978, Surface stress in solids, International Journal of Solids and Structures 14(6): 431-440.
[13] Lei Y., Adhikari S., Friswell M.I., 2013, Vibration of nonlocal Kelvin–Voigt viscoelastic damped Timoshenko beams, International Journal of Engineering Science 66/67: 1-13.
[14] Ghavanloo E., Fazelzadeh S.A., 2011, Flow-thermo elastic vibration and instability analysis of viscoelastic carbon nanotubes embedded in viscous fluid, Physica E 44: 17-24.
[15] Murmu T., McCarthy M.A., Adhikari S., 2012, Vibration response of double-walled carbon nanotubes subjected to an externally applied longitudinal magnetic field: A nonlocal elasticity approach, Journal of Sound and Vibration 331: 5069-5086.
[16] Wang H., Dong K., Men F., Yan Y.J., Wang X., 2010, Influences of longitudinal magnetic field on wave propagation in carbon nanotubes embedded in elastic matrix, Applied Mathematical Modelling 34: 878-889.
[17] Murmu T., McCarthy M.A., Adhikari S., 2013, In-plane magnetic field affected transverse vibration of embedded single-layer graphene sheets using equivalent nonlocal elasticity approach, Composite Structures 96: 57-63.
[18] Murmu T., Adhikari S., 2011, Axial instability of double-nanobeam-systems, Physics Letters A 375: 601-608.
[19] Murmu T., Adhikari S., 2010, Nonlocal transverse vibration of double-nanobeam-systems, Journal of Applied Physics 108: 083514.
[20] Murmu T., Adhikari S., 2010, Nonlocal effects in the longitudinal vibration of double-nanorod systems, Physica E 43: 415-422.
[21] Murmu T., Adhikari S., 2011, Nonlocal vibration of bonded double-nanoplate-systems, Composites Part B: Engineering 42:1901-1911.
[22] Ghorbanpour Arani A., Amir S., 2013, Electro-thermal vibration of visco-elastically coupled BNNT systems conveying fluid embedded on elastic foundation via strain gradiant theory, Physica B 419: 1-6.
[23] Eringen A.C., Edelen D.G.B., 1972, On nonlocal elasticity, International Journal of Engineering Science 10: 233-248.
[24] Eringen A.C., 1983, On differential equations of nonlocal elasticity and solutions of screw dislocation and surface wave, Journal of Applied Physics 54: 4703-4710.
[25] Reddy J.N., 2002, Energy Principles and Variational Methods in Applied Mechanics, John Willey & Sons.
[26] Reddy J.N., Wang C.M., 2004, dynamics of fluid conveying beams, Centre for Offshore Research and Engineering National University of Singapore.
[27] Khodami Maraghi Z., Ghorbanpour Arani A., Kolahchi R., Amir S., Bagheri M.R., 2013, Nonlocal vibration and instability of embedded DWBNNT conveying viscose fluid, Composites Part B: Engineering 45: 423-432.
[28] Wang L., Ni Q., 2009, A reappraisal of the computational modelling of carbon nanotubes conveying viscous fluid, Mechanics Research Communications 36: 833-837.
[29] Paidoussis M.D., 1998, Fluid-Structure Interactions: Slender Structures and Axial Flow, Academic Press, London.
[30] Beskok A., Karniadakis G.E., 1999, Report: a model for flows in channels, pipes, and ducts at micro and nano scales, Microscale Thermophysical Engineering 3: 43-77.
[31] Ghorbanpour Arani A., Loghman A., Shajari A.R., Amir S., 2010, Semi-analytical solution of magneto-thermo-elastic stresses for functionally graded variable thickness rotating disks, Journal of Mechanical Science and Technology 24: 2107-2117.
[32] Bellman R.E., Kashef B.G., Casti J., 1972, Differential quadrature: A technique for the rapid solution of nonlinear partial differential equations, Journal of Computational Physics 10: 40-52.
[33] Hu L.C., Hu C., 2013, Identification of rate constants by differential quadrature in partly measurable compartmental models, Mathematical Biosciences 21: 71-76.
[34] Civan F., Sliepcevich C.M., 1984, Application of differential quadrature to transport processes, Journal of Mathematical Analysis and Applications 101: 423-443.
[35] Striz A.G., Jang S.K., Bert C.W., 1988, Nonlinear bending analysis of thin circular plates by differential quadrature, Thin-walled structures 6: 51-62.
[36] Bozdogan K.B., 2012, Differential quadrature method for free vibration analysis of coupled shear walls, Structural Engineering & Mechanics 41: 67-81.
[37] Girgin Z., Yilmaz Y., Cetkin A., 2000, Application of the generalized differential quadrature method to deflection and buckling analysis of structural components, International Journal of Engineering Science 6: 117-124.
[38] Chen W., Zhong T., 1997, The study on nonlinear computations of the DQ and DC methods, Numerical Methods for Partial Differential Equations 13: 57-75.
[39] Johnson C.R., 1989, Matrix Theory and Application, Phoenix, Arizona.
[40] Shu C., 1999, Differential Quadrature and its Application in Engineering, Springer.
[41] Ghorbanpour Arani A., Atabakhshian V., Loghman A., Shajari A.R., Amir S., 2012, Nonlinear vibration of embedded SWBNNTs based on nonlocal Timoshenko beam theory using DQ method, Physica B 407: 2549-2555.
[42] Sharma P., Parashar S.K., Rathore S.K., 2012, Application of DQ method in certain class of vibration problem, International Conference on Mechanical and Industrial Engineering, Dehradun.
[43] Yoon J., Ru C.Q., Mioduchowski A., 2005, Vibration and instability of carbon nanotubes conveying fluid, Composites Science and Technology 65: 1326-1336.
[44] Wang L., Ni Q., Li M., Qian Q., 2008, The thermal effect on vibration and instability of carbon nanotubes conveying fluid, Physica E 40: 3179-3182.