[1] Wang L, Liu H, Ni Q, Wu Y (2013) Flexural vibrations of microscale pipes conveying fluid by considering the size effects of micro-flow and micro-structure. Int J Eng Sci 71: 92-101.
[2] Paı M (2008) The canonical problem of the fluid-conveying pipe and radiation of the knowledge gained to other dynamics problems across applied mechanics. J Sound Vib 310: 462-492.
[3] Şimşek M (2010) Dynamic analysis of an embedded microbeam carrying a moving microparticle based on the modified couple stress theory. Int J Eng Sci 48: 1721-1732.
[4] Wang L, Liu HT, Ni Q, Wu Y (2013) Flexural vibrations of microscale pipes conveying fluid by considering the size effects of micro-flow and micro-structure. Int J Eng Sci 71: 92-101.
[5] Paidoussis MP (2013) Fluid-Structure interactions: Slender structures and axial flow. vol 1. Academic Press.
[6] Paı¨doussis MP (2008) The canonical problem of the fluid-conveying pipe and radiation of the knowledge gained to other dynamics problems across applied mechanics. J Sound Vib 310: 462-492.
[7] Blevins RD (1990) Flow-induced vibration.
[8] Ni Q, Zhang Z, Wang L (2011) Application of the differential transformation method to vibration analysis of pipes conveying fluid. Appl Math Comput 217: 7028-7038.
[9] Wang L, Dai H (2012) Vibration and enhanced stability properties of fluid-conveying pipes with two symmetric elbows fitted at downstream end. Arch Appl Mech 82: 155-161.
[10] Firouz-Abadi R, Askarian A, Kheiri M (2013) Bending–torsional flutter of a cantilevered pipe conveying fluid with an inclined terminal nozzle. J Sound Vib 332: 3002-3014.
[11] Ni Q, Tang M, Luo Y, Wang Y, Wang L (2014) Internal-external resonance of a curved pipe conveying fluid resting on a nonlinear elastic foundation. Nonlinear Dynam 76: 867-886.
[12] Alizadeh A, Mirdamadi H (2015) Free vibration and divergence instability of pipes conveying fluid with uncertain structural parameters. Modares Mechanical Engineering 15: 247-254.
[13] Heydari H, Ghazavi MR, Najafi A (2016) Dynamics analysis of pipe conveying fluid with axial and rotational motion. Modares Mechanical Engineering 16: 387-393.
[14] Zou G, Cheraghi N, Taheri F (2005) Fluid-induced vibration of composite natural gas pipelines. Int J Solids Struct 42: 1253-1268.
[15] Dai H, Wang L, Ni Q (2013) Dynamics of a fluid-conveying pipe composed of two different materials. Int J Eng Sci 73: 67-76.
[16] Shen H, Païdoussis MP, Wen J, Yu D, Wen X (2014) The beam-mode stability of periodic functionally-graded-material shells conveying fluid. J Sound Vib 333: 2735-2749.
[17] Wang ZM, Liu YZ (2016) Transverse vibration of pipe conveying fluid made of functionally graded materials using a symplectic method. Nucl Eng Des 149-159.
[18] Mamaghani AE, Khadem SE, Bab S (2016) Vibration control of a pipe conveying fluid under external periodic excitation using a nonlinear energy sink. Nonlinear Dynam 86: 1761-1795.
[19] Ebrahimi-Mamaghani A, Sotudeh-Gharebagh R, Zarghami R, Mostoufi N (2019) Dynamics of two-phase flow in vertical pipes. J Fluid Struct 87: 150-173.
[20] Mirtalebi SH, Ahmadian MT, Ebrahimi-Mamaghani A (2019) On the dynamics of micro-tubes conveying fluid on various foundations. SN Appl Sci 1: 547.
[21] Ziegler H (1968) Principles of structural stability. Blaisdell, Waltham, MA.
[22] Sadeghi MH, Karimi-Dona MH (2011) Dynamic behavior of a fluid conveying pipe subjected to a moving sprung mass–an FEM-state space approach. Int J Pres Ves Pip 88: 123-131.
[23] Reddy J, Wang C (2004) Dynamics of fluid-conveying beams. Centre for Offshore Research and Engineering, National University of Singapore, CORE Report. 3: 1-21.
[24] Alshorbagy AE, Eltaher M, Mahmoud F (2011) Free vibration characteristics of a functionally graded beam by finite element method. Appl Math Model 35: 412-425.
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