An C, Su J (2017) Dynamic behavior of axially functionally graded pipes conveying fluid.Mathematical Problems in Engineering 2017:6789634.https://doi.org/10.1155/2017/6789634
Babilio E (2014) Dynamics of functionally graded beams on viscoelastic foundation, International Journal of Structural Stability and Dynamics 14 (08):1440014.https://doi.org/10.1142/S0219455414400148
Cotta RM, Lisboa KM, Curi MF, Balabani S, Quaresma JN, Perez Guerrero JS, Macêdo EN, Amorim NS (2019) A review of hybrid integral transform solutions in fluid flow problems with heat or mass transfer and under Navier-Stokes equations formulation.Numerical Heat Transfer, Part B:Fundamentals 76(2):60-87.https://doi.org/10.1080/10407790.2019.1642715
Dai J, Liu Y, Liu H, Miao C, Tong G (2019) A parametric study on thermo-mechanical vibration of axially functionally graded material pipe conveying fluid.International Journal of Mechanics and Materials in Design 15 (4):715-726.https://doi.org/10.1007/s10999-018-09439-5
Deng J, Liu Y, Zhang Z, Liu W (2017) Dynamic behaviors of multispan viscoelastic functionally graded material pipe conveying fluid.Proceedings of the Institution of Mechanical Engineers, Part C:Journal of Mechanical Engineering Science 231 (17):3181-3192.https://doi.org/10.1177/0954406216642483
Ebrahimi-Mamaghani A, Sotudeh-Gharebagh R, Zarghami R, Mostoufi N (2022) Thermo-mechanical stability of axially graded rayleigh pipes.Mechanics Based Design of Structures and Machines 50(2):412-441.https://doi.org/10.1080/15397734.2020.1717967
Fu G, Li M, Yang J, Li S, Sun B, Estefen S F (2022a) A simplified equation for the collapse pressure of sandwich pipes with different core materials.Ocean Engineering 254:111292.https://doi.org/10.1016/j.oceaneng.2022.111292
Fu G, Li M, Yang J, Sun B, Shi C, Estefen S F (2022b) The effect of eccentricity on the collapse behaviour of sandwich pipes.Applied Ocean Research 124(4):103190.https://doi.org/10.1016/j.apor.2022.103190
Fu G, Peng Y, Sun B, An C, Su J (2019) An exact GITT solution for static bending of clamped parallelogram plate resting on an elastic foundation.Engineering Computations 36 (6):2034-2047.https://doi.org/10.1108/EC-12-2018-0582
Fu G, Tuo Y, Sun B, Shi C, Su J (2022c) Bending of variable thickness rectangular thin plates resting on a double-parameter foundation:integral transform solution.Engineering Computations 39 (7):2689-2704.https://doi.org/10.1108/EC-11-2021-0692
Gupta A, Talha M (2015) Recent development in modeling and analysis of functionally graded materials and structures.Progress in Aerospace Sciences 79:1-14.https://doi.org/10.1016/j.paerosci.2015.07.001i
Heshmati M (2020) Influence of an eccentricity imperfection on the stability and vibration behavior of fluid-conveying functionally graded pipes.Ocean Engineering 203:107192.https://doi.org/10.1016/j.oceaneng.2020.107192
Jiang M, Zhao J, Wang Q (2022) Linear energy stable numerical schemes for a general chemo-repulsive model.Journal of Computational and Applied Mathematics, 114436.https://doi.org/10.1016/j.cam.2022.114436
Jiang M, Zhao J (2023) Linear relaxation schemes for the AllenCahn-type and Cahn-Hilliard-type phase field models.Applied Mathematics Letter 137:108477.https://doi.org/10.1016/j.aml.2022.108477
Jin JD (1997) Stability and chaotic motions of a restrained pipe conveying fluid.Journal of Sound and Vibration 208 (3):427-439.https://doi.org/10.1006/jsvi.1997.1195
Jin J, Song Z (2005) Parametric resonances of supported pipes conveying pulsating fluid.Journal of Fluids and Structures 20 (6):763-783.https://doi.org/10.1016/j.jfluidstructs.2005.04.007
Khodabakhsh R, Saidi A R, Bahaadini R (2020) An analytical solution for nonlinear vibration and post-buckling of functionally graded pipes conveying fluid considering the rotary inertia and shear deformation effects.Applied Ocean Research 101:102277.https://doi.org/10.1016/j.apor.2020.102277
Li F, An C, Duan M, Su J (2020) Combined damping model for dynamics and stability of a pipe conveying two-phase flow.Ocean Engineering 195:106683.https://doi.org/10.1016/j.oceaneng.2019.106683
Loghman E, Kamali A, Bakhtiari-Nejad F, Abbaszadeh M (2021)Nonlinear free and forced vibrations of fractional modeled viscoelastic FGM micro-beam, Applied Mathematical Modelling 92:297-314.https://doi.org/10.1016/j.apm.2020.11.011
Lu Z Q, Zhang K K, Ding H, Chen L Q (2020) Nonlinear vibration effects on the fatigue life of fluid-conveying pipes composed of axially functionally graded materials.Nonlinear Dynamics 100(2):1091-1104.https://doi.org/10.1007/s11071-020-05577-8
Ni Q, Zhang Z, Wang L, Qian Q, Tang M (2014) Nonlinear dynamics and synchronization of two coupled pipes conveying pulsating fluid.Acta Mechanica Solida Sinic 27 (2):162-171.https://doi.org/10.1016/S0894-9166(14)60026-4
Nikbakht S, Kamarian S, Shakeri M (2019) A review on optimization of composite structures part ii:Functionally graded materials.Composite Structures 214:83-102.https://doi.org/10.1016/j.compstruct.2019.01.105
Oyelade AO, Oyediran A A (2020) The effect of various boundary conditions on the nonlinear dynamics of slightly curved pipes under thermal loading.Applied Mathematical Modelling 87:332-350.https://doi.org/10.1016/j.apm.2020.06.019
Paidoussis M (1987) Flow-induced instabilities of cylindrical structures 40(2):163-175.https://doi.org/10.1115/1.3149530
Paidoussis M, Cusumano J, Copeland G (1992) Low-dimensional chaos in a flexible tube conveying fluid.Journal of Applied Mechanics 59(1):196-205.https://doi.org/10.1115/1.2899428
Paidoussis M, Issid N (1974) Dynamic stability of pipes conveying fluid.Journal of Sound and Vibration 33 (3):267-294.https://doi.org/10.1016/S0022-460X(74)80002-7
Paidoussis M, Li G, Moon F (1989) Chaotic oscillations of the autonomous system of a constrained pipe conveying fluid.Journal of Sound and Vibration 135(1):1-19.https://doi.org/10.1016/0022-460X(89)90750-5
Pa?doussis M, Li G (1993) Pipes conveying fluid:a model dynamical problem, Journal of Fluids and Structures 7(2):137-204.https://doi.org/10.1006/jfls.1993.1011
Paidoussis M, Moon F (1988) Nonlinear and chaotic fluid elastic vibrations of a flexible pipe conveying fluid, Journal of Fluids and Structures 2(6):567-591.https://doi.org/10.1016/S0889-9746(88)80023-9
Paidoussis M, Semler C (1993) Nonlinear and chaotic oscillations of a constrained cantilevered pipe conveying fluid:a full nonlinear analysis.Nonlinear Dynamics 4 (6):655-670.https://doi.org/10.1007/BF00162236
Shafiei N, She G L (2018) On vibration of functionally graded nano-tubes in the thermal environment.International Journal of Engineering Science 133:84-98.https://doi.org/10.1016/j.ijengsci.2018.08.004
Shariati A, Mohammad-Sedighi H, Zur K K, Habibi M, Safa M (2020) On the vibrations and stability of moving viscoelastic axially functionally graded nanobeams.Materials 13 (7):1707.https://doi.org/10.3390/ma13071707
Shen J, Xu J, Yang J (2018) The scalar auxiliary variable (SAV) approach for gradient flows.Journal of Computational Physics 353:407-416.https://doi.org/10.1016/j.jcp.2017.10.021
Tang D, Dowell E (1988) Chaotic oscillations of a cantilevered pipe conveying fluid.Journal of Fluids and Structures 2 (3):263-283.https://doi.org/10.1016/S0889-9746(88)80011-2
Tang Y, Yang T (2018) Post-buckling behavior and nonlinear vibration analysis of a fluid conveying pipe composed of functionally graded material.Composite Structures 185:393-400.https://doi.org/10.1016/j.compstruct.2017.11.032
Tuo Y, Fu G, Sun B, Lou M, Su J (2022) Stability of axially functionally graded pipe conveying fluid:Generalized integral transform solution.Applied Ocean Research 125:103218.https://doi.org/10.1016/j.apor.2022.103218
Wang L (2009) A further study on the non-linear dynamics of simply supported pipes conveying pulsating fluid.International Journal of Non-Linear Mechanics 44 (1):115-121.https://doi.org/10.1016/j.ijnonlinmec.2008.08.010
Wang L, Liu Z, Abdelkefi A, Wang Y, Dai H (2017) Nonlinear dynamics of cantilevered pipes conveying fluid:towards a further understanding of the effect of loose constraints, International Journal of Non-Linear Mecha 95:19-29.https://doi.org/10.1016/j.ijnonlinmec.2017.05.012
Wang Y, Chen Y (2019) Dynamic analysis of the viscoelastic pipeline conveying fluid with an improved variable fractional order model based on shifted Legendre polynomials.Fractal and Fractional 3 (4):52.https://doi.org/10.3390/fractalfract3040052
Wang Z, Soares C G (2021) Upheaval thermal buckling of functionally graded subsea pipelines.Applied Ocean Research 116:102881.https://doi.org/10.1016/j.apor.2021.102881
Wang Z, Chen B, Soares CG (2022) Analytical study on the upheaval thermal buckling of sandwich pipes.Marine Structures 85:103245.https://doi.org/10.1016/j.marstruc.2022.103245
Zhao J, Wang Q, Yang X (2017) Numerical approximations for a phase field dendritic crystal growth model based on the invariant energy quadratization approach.International Journal for Numerical Methods in Engineering 110:279-300.https://doi.org/10.1002/nme.5372
Zhou X W, Dai H L, Wang L (2018) Dynamics of axially functionally graded cantilevered pipes conveying fluid.Composite Structures 190:112-118.https://doi.org/10.1016/j.compstruct.2018.01.097