[1] M. Hosseini and R. Bahaadini (2016) "Size dependent stability analysis of cantilever micro-pipes conveying fluid based on modified strain gradient theory," I.J. ES, vol. 101, pp. 1-13.

[2] M. Hosseini, A. Z. B. Maryam, and R. Bahaadini (2017) "Forced vibrations of fluid-conveyed double piezoelectric functionally graded micropipes subjected to moving load," M. and N., vol. 21, no. 8, pp. 1-16.

[3] R. Bahaadini and A. R. Saidi (2018) "Stability analysis of thin-walled spinning reinforced pipes conveying fluid in thermal environment," E. J. of M.-A/Solids, vol. 72, pp. 298-309.

[4] R. Bahaadini, A. R. Saidi, and M. Hosseini (2019) "Flow-induced vibration and stability analysis of carbon nanotubes based on the nonlocal strain gradient Timoshenko beam theory," J. of V. and C., vol. 25, no. 1, pp. 203-218.

[5] A. Amiri, A. Masoumi, and R. Talebitooti (2020) "Flutter and bifurcation instability analysis of fluid-conveying micro-pipes sandwiched by magnetostrictive smart layers under thermal and magnetic field," I. J. of Mechanics and M.D., pp. 1-20.

[8] M. Rezaee and V. Arab Maleki (2017) "Vibration Analysis of Fluid Conveying Viscoelastic Pipes Rested on Non-Uniform Winkler Elastic Foundation," (in eng), Modares M. E., vol. 16, no. 12, pp. 87-94.

[9] D. C. Lam, F. Yang, A. Chong, J. Wang, and P. Tong (2003) "Experiments and theory in strain gradient elasticity," J. of the M. and P. of Solids, vol. 51, no. 8, pp. 1477-1508.

[10] C. Liebold and W. H. Müller (2016) "Comparison of gradient elasticity models for the bending of micromaterials," C. M. Science, vol. 116, pp. 52-61.

[11] D. Liu et al. (2013) "Toward a further understanding of size effects in the torsion of thin metal wires: an experimental and theoretical assessment," I. J. of Plasticity, vol. 41, pp. 30-52.

[12] F. Yang, A. Chong, D. C. C. Lam, and P. Tong (2002) "Couple stress based strain gradient theory for elasticity," International journal of solids and structures, vol. 39, no. 10, pp. 2731-2743.

[13] M. Şimşek (2014) "Nonlinear static and free vibration analysis of microbeams based on the nonlinear elastic foundation using modified couple stress theory and He’s variational method," C. S., vol. 112, pp. 264-272.

[14] M. H. Ghayesh, H. Farokhi, and M. Amabili (2014)  "In-plane and out-of-plane motion characteristics of microbeams with modal interactions," C. Part B: Eng, vol. 60, pp. 423-439.

[15] N. Shafiei, M. Kazemi, and M. Ghadiri (2016) "Nonlinear vibration of axially functionally graded tapered microbeams," International Journal of Engineering Science, vol. 102, pp. 12-26.

[16] H. Farokhi and M. H. Ghayesh (2016) "Nonlinear size-dependent dynamics of an imperfect shear deformable microplate," J. of S. V., vol. 361, pp. 226-242.

[17] M. Mojahedi and M. Rahaeifard (2016) "A size-dependent model for coupled 3D deformations of nonlinear microbridges," I. J of E. S., vol. 100, pp. 171-182.

[18] H. Farokhi, M. P. Païdoussis, and A. K. Misra (2016) "A new nonlinear model for analyzing the behaviour of carbon nanotube-based resonators," J. of S. V., vol. 378, pp. 56-75.

[19] R. Ansari, R. Gholami, and A. Shahabodini (2016) "Size-dependent geometrically nonlinear forced vibration analysis of functionally graded first-order shear deformable microplates," J. of Mechanics, vol. 32, no. 5, pp. 539-554.

[20] M. H. Ghayesh, H. Farokhi, and A. Gholipour (2017) "Oscillations of functionally graded microbeams," I. J. of E. S., vol. 110, pp. 35-53.

[21] Z. Saadatnia, H. Askari, and E. Esmailzadeh, (2018) "Multi-frequency excitation of microbeams supported by Winkler and Pasternak foundations," J of V. C., vol. 24, no. 13, pp. 2894-2911.

[22] A. Setoodeh and S. Afrahim (2014) "Nonlinear dynamic analysis of FG micro-pipes conveying fluid based on strain gradient theory," Com S., vol. 116, pp. 128-135.

[23] T.-Z. Yang, S. Ji, X.-D. Yang, and B. Fang, (2014) "Microfluid-induced nonlinear free vibration of microtubes," I. J of E. S., vol. 76, pp. 47-55.

[24] K. Hu, Y. Wang, H. Dai, L. Wang, and Q. Qian (2016) "Nonlinear and chaotic vibrations of cantilevered micropipes conveying fluid based on modified couple stress theory," I. J of E. S., vol. 105, pp. 93-107.

[25] S. Mashrouteh, M. Sadri, D. Younesian, and E. Esmailzadeh (2016) "Nonlinear vibration analysis of fluid-conveying microtubes," Nonlinear Dyn, vol. 85, no. 2, pp. 1007-1021.

[26] A. M. Dehrouyeh-Semnani, M. Nikkhah-Bahrami, and M. R. H. Yazdi (2017) "On nonlinear vibrations of micropipes conveying fluid," I. J. of E. S., vol. 117, pp. 20-33.

[27] S. Kural and E. Özkaya (2017) "Size-dependent vibrations of a micro beam conveying fluid and resting on an elastic foundation," J of V. and Con, vol. 23, no. 7, pp. 1106-1114.

[28] G.-L. She, F.-G. Yuan, Y.-R. Ren, H.-B. Liu, and W.-S. Xiao (2018) "Nonlinear bending and vibration analysis of functionally graded porous tubes via a nonlocal strain gradient theory," Com S., vol. 203, pp. 614-623.

[29] H. Babaei, Y. Kiani, and M. Eslami, (2018) "Geometrically nonlinear analysis of functionally graded shallow curved tubes in thermal environment," Thin-Walled S., vol. 132, pp. 48-57.

[31] R. Khodabakhsh, A. R. Saidi, and R. Bahaadini (2020) "An analytical solution for nonlinear vibration and post-buckling of functionally graded pipes conveying fluid considering the rotary inertia and shear deformation effects," A. O. Res., vol. 101, p. 102277.

[32] H. Babaei and M. R. Eslami (2020) "On nonlinear vibration and snap-through stability of porous FG curved micro-tubes using two-step perturbation technique," Com S., vol. 247, p. 112447.

[34] D. Chen, S. Kitipornchai, and J. Yang (2016) "Nonlinear free vibration of shear deformable sandwich beam with a functionally graded porous core," Thin-Walled S., vol. 107, pp. 39-48.

[35] M. Turkyilmazoglu (2012) "An effective approach for approximate analytical solutions of the damped Duffing equation," Phys. Scri., vol. 86, no. 1, p. 015301.