[1] Pham P, Hong K (2020) Dynamic models of axially moving systems: A review. Nonlinear Dynam 100(1): 315-349.
[
43] Ali S, Hawwa M (2023) Dynamics of axially moving beams: A finite difference approach. Ain Shams Eng J 14(1):101817.
[3] Liu, Y (2022) Nonlinear Dynamic Analysis of an Axially Moving Composite Laminated Cantilever Beam. J Vib Eng 1-13. doi: 10.1007/s42417-022-00750-2.
[4] Hao Y, Gao M, Gong J (2022) Parametric Random Vibration Analysis of an Axially Moving Laminated Shape Memory Alloy Beam Based on Monte Carlo Simulation. Materials 15(2): 562.
[5] Kelleche A, Saedpanah F (2023) Stabilization of an Axially Moving Euler Bernoulli Beam by an Adaptive Boundary Control. J Dyn Control Syst 1-18. doi: 10.1007/s10883-022-09632-y.
[6] Zhang Z, Yang H, Guo Z, Zhu L, Liu W (2022) Nonlinear Vibrations of an Axially Moving Beam with Fractional Viscoelastic Damping. Adv Civ Eng 4637716. doi: 10.1155/2022/4637716.
[7] Dindarloo M, Li L (2019) Vibration analysis of carbon nanotubes reinforced isotropic doubly-curved nanoshells using nonlocal elasticity theory based on a new higher order shear deformation theory. Compos B Eng 175:107170.
[
44] Piovan M, Sampaio R (2008) Vibrations of axially moving flexible beams made of functionally graded materials. Thin-Walled Struc 46(2):112-121.
[9] Sui S, Chen L, Li C, Liu X (2015) Transverse vibration of axially moving functionally graded materials based on Timoshenko beam theory. Math Probl Eng 391452. doi: 10.1155/2015/391452.
[10] Yan T, Yang T, Chen L (2020) Direct multiscale analysis of stability of an axially moving functionally graded beam with time-dependent velocity. Acta Mech Sol Sin 33:150-163.
[11] Shariati A, Jung D, Mohammad-Sedighi H, Żur K, Habibi M, Safa M (2020) Stability and dynamics of viscoelastic moving rayleigh beams with an asymmetrical distribution of material parameters. Symmetry 12(4):586.
[12] Yao L, Ji J, Shen J, Li C (2020) Free vibration and wave propagation of axially moving functionally graded Timoshenko microbeams. J Braz Soc Mech Sci Eng 42:1-14.
[13] Majdi A, Yasin Y, Altalbawy M (2023) Size-dependent vibrations of bi-directional functionally graded porous beams under moving loads incorporating thickness effect. Mech Base Des Struct Mach 1-32. doi: 10.1080/15397734.2023.2165098.
[14] Wang Y, Yang Z (2017) Nonlinear vibrations of moving functionally graded plates containing porosities and contacting with liquid: internal resonance. Nonlinear Dynam 90:1461-1480.
[15] Esen I, Özmen R (2022) Free and forced thermomechanical vibration and buckling responses of functionally graded magneto-electro-elastic porous nanoplates. Mech Base Des Struct Mach, 1-38. doi: 10.1080/15397734.2022.2152045.
[16] Esmaeilzadeh M, Kadkhodayan M (2019) Numerical investigation into dynamic behaviors of axially moving functionally graded porous sandwich nanoplates reinforced with graphene platelets. Mater Res Express 6(10):1050b7.
[17] Yang F, Wang Y, Liu Y (2022) Low-velocity impact response of axially moving functionally graded graphene platelet reinforced metal foam plates. Aero Sci Tech 123:107496.
[18] Swaminathan K, Sangeetha D (2017) Thermal analysis of FGM plates–A critical review of various modeling techniques and solution methods. Compos Struct 160:43-60.
[19] Sarparast H, Ebrahimi‐Mamaghani A (2020) Nonlocal study of the vibration and stability response of small‐scale axially moving supported beams on viscoelastic‐Pasternak foundation in a hygro‐thermal environment. Math Meth Appl Sci. doi: 10.1002/mma.6859.
[20] Elaikh T, Agboola O (2022) Investigation of Transverse Vibration Characteristics of Cracked Axially Moving Functionally Graded Beam Under Thermal Load. Trends in Sci 19(23):1349-1349.
[21] Hu Y, Wang J (2017) Principal-internal resonance of an axially moving current-carrying beam in magnetic field. Nonlinear Dynam 90:683-695.
[22] Wei M, Sun L, Hu G (2017) Dynamic properties of an axially moving sandwich beam with magnetorheological fluid core. Adv Mech Eng 9(2):1687814017693182.
[23] Shafiei N, Mirjavadi S, MohaselAfshari B, Rabby S, Kazemi M (2017) Vibration of two-dimensional imperfect functionally graded (2D-FG) porous nano-/micro-beams. Comput Meth Appl Mech Eng 322:615-632.
[24] Şimşek M (2016) Nonlinear free vibration of a functionally graded nanobeam using nonlocal strain gradient theory and a novel Hamiltonian approach. Int J Eng Sci 105:12-27.
[25] Mamaghani A, Khadem S, Bab S (2016) Vibration control of a pipe conveying fluid under external periodic excitation using a nonlinear energy sink. Nonlinear Dynam 86:1761-1795.
[26] Ebrahimi-Mamaghani A, Sotudeh-Gharebagh R, Zarghami R, Mostoufi N (2022) Thermo-mechanical stability of axially graded Rayleigh pipes. Mech Base Des Struct Mach 50(2):412-441.
[27] Heydari A, Li L (2021) Dependency of critical damping on various parameters of tapered bidirectional graded circular plates rested on Hetenyi medium. Proc IME C J Mech Eng Sci 235(12):2157-2179.
[28] Zhang H, Ma J, Ding H, Chen L (2017) Vibration of axially moving beam supported by viscoelastic foundation. Appl Math Mech 38(2):161-172.
[29] Bahaadini R, Hosseini M, Jamalpoor A (2017) Nonlocal and surface effects on the flutter instability of cantilevered nanotubes conveying fluid subjected to follower forces. Phys B Condens Matter 509:55-61.
[30] Bai Y, Suhatril M, Cao Y, Forooghi A, Assilzadeh H (2022) Hygro–thermo–magnetically induced vibration of nanobeams with simultaneous axial and spinning motions based on nonlocal strain gradient theory. Eng Comput 38:2509–2526
[31] 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.
[32] Ebrahimi-Mamaghani A, Mostoufi N, Sotudeh-Gharebagh R, Zarghami R (2022) Vibrational analysis of pipes based on the drift-flux two-phase flow model. Ocean Eng 249:110917.
[
45] Ebrahimi-Mamaghani A, Koochakianfard O, Mostoufi N, Khodaparast H (2023) Dynamics of spinning pipes conveying flow with internal elliptical cross-section surrounded by an external annular fluid by considering rotary inertia effects. Appl Math Model 120: 330-354.
[
45] Esfahani S, Khadem S, Mamaghani A. E (2019) Nonlinear vibration analysis of an electrostatic functionally graded nano-resonator with surface effects based on nonlocal strain gradient theory. Int J Mech Sci 151:508-522.
[35] Lancaster P (2013) Stability of linear gyroscopic systems: a review. Lin Algebra Appl 439(3):686-706.
[36] Alshorbagy A, Eltaher M. A, Mahmoud F (2011) Free vibration characteristics of a functionally graded beam by finite element method. Appl Math Model 35(1):412-425.
[37] Rezaee M, Lotfan S (2015) Non-linear nonlocal vibration and stability analysis of axially moving nanoscale beams with time-dependent velocity. Int J Mech Sci 96:36-46.
[38] Barati M. R (2017) Magneto-hygro-thermal vibration behavior of elastically coupled nanoplate systems incorporating nonlocal and strain gradient effects. J Braz Soc Mech Sci Eng 39(11):4335-4352.
[39] Zenkour A, Abbas I. A (2014) Magneto-thermoelastic response of an infinite functionally graded cylinder using the finite element method. J Vib Contr 20(12):1907-1919.
[40] Ebrahimi F, Jafari A (2016) A higher-order thermomechanical vibration analysis of temperature-dependent FGM beams with porosities. J Eng.
[41] Mirjavadi S, Mohasel Afshari B, Khezel M, Shafiei N, Rabby S, Kordnejad M (2018) Nonlinear vibration and buckling of functionally graded porous nanoscaled beams. J Braz Soc Mech Sci Eng 40:1-12.
[42] She G, Yuan F. G, Karami B, Ren Y. R, Xiao W. S (2019) On nonlinear bending behavior of FG porous curved nanotubes. Int J Eng Sci 135:58-74.