References
- Elkaimbillah A, Braikat B, Mohri F, et al. A one-dimensional model for computing forced nonlinear vibration of thin-walled composite beams with open variable cross-sections. Thin-Walled Struct. 2021;159:107211.
- Huang Z, Zhang X, Fu X. On the bending force response of thin-walled beams under transverse loading. Thin-Walled Struct. 2020;154:106807.
- Zhou K, Ni Q, Dai H, et al. Nonlinear forced vibrations of supported pipe conveying fluid subjected to an axial base excitation. J Sound Vib. 2020;471:115189.
- Kurylov Y, Amabili M. Polynomial versus trigonometric expansions for nonlinear vibrations of circular cylindrical shells with different boundary conditions. J Sound Vib. 2010;329:1435–1449.
- Li C, Zhang Z, Yang Q, et al. Experiments on the geometrically nonlinear vibration of a thin-walled cylindrical shell with points supported boundary condition. J Sound Vib. 2020;473:115226.
- Nowinski J. Nonlinear transverse vibrations of orthotropic cylindrical shells. AIAA J. 1963;1:617–620.
- Singh VK, Panda SK. Nonlinear free vibration analysis of single/doubly curved composite shallow shell panels. Thin-Walled Struct. 2014;85:341–349.
- Mehar K, Panda SK, Bui TQ, et al. Nonlinear thermoelastic frequency analysis of functionally graded CNT-reinforced single/doubly curved shallow shell panels by FEM. J Therm Stresses. 2017;40:899–916.
- Nguyen DD, Pham CH. Nonlinear dynamic response and vibration of sandwich composite plates with negative Poisson’s ratio in auxetic honeycombs. J Sandwich Struct Mater. 2018;20:692–717.
- Ansari R, Hasrati E, Torabi J. Nonlinear vibration response of higher-order shear deformable FG-CNTRC conical shells. Compos Struct. 2019;222:110906.
- Alijani F, Amabili M. Theory and experiments for nonlinear vibrations of imperfect rectangular plates with free edges. J Sound Vib. 2013;332:3564–3588.
- Sankar A, Natarajan S, Haboussi M, et al. Panel flutter characteristics of sandwich plates with CNT reinforced facesheets using an accurate higher-order theory. J Fluids Struct. 2014;50:376–391.
- Alijani F, Amabili M, Karagiozis K, et al. Nonlinear vibrations of functionally graded doubly curved shallow shells. J Sound Vib. 2011;330:1432–1454.
- Shen H-S, Xiang Y. Nonlinear vibration of nanotube-reinforced composite cylindrical shells in thermal environments. Comput Methods Appl Mech Eng. 2012;213:196–205.
- Mehar K, Panda SK. Geometrical nonlinear free vibration analysis of FG-CNT reinforced composite flat panel under uniform thermal field. Compos Struct. 2016;143:336–346.
- Li C, Li P, Zhong B, et al. Geometrically nonlinear vibration of laminated composite cylindrical thin shells with non-continuous elastic boundary conditions. Nonlinear Dyn. 2019;95:1903–1921.
- Tang Q, Li C, Wen B. Analysis on forced vibration of thin-wall cylindrical shell with nonlinear boundary condition. Shock Vib. 2016;2016:8978932. DOI:10.1155/2016/8978932
- Shao Z, Ma G. Free vibration analysis of laminated cylindrical shells by using Fourier series expansion method. J Thermoplast Compos Mater. 2007;20:551–573.
- Alibeigloo A. Coupled thermoelasticity analysis of FGM plate integrated with piezoelectric layers under thermal shock. J Therm Stresses. 2019;42:1357–1375.
- Benchouaf L, Boutyour EH, Potier-Ferry M. Non-linear vibrations of sandwich viscoelastic shells. Comptes Rendus Mécanique. 2018;346:308–319.
- Mohajel Sadeghi S, Alibeigloo A. Parametric study of three-dimensional vibration of viscoelastic cylindrical shells on different boundary conditions. J Vib Control. 2019;25:2567–2579.
- Li Y, Yao W, Zhang Y. Nonlinear dynamic characteristics of symmetric rectangular honeycomb sandwich thin panel. J Sandwich Struct Mater. 2021;23(7):3390–3413.
- Torabi K, Afshari H, Aboutalebi FH. Vibration and flutter analyses of cantilever trapezoidal honeycomb sandwich plates. J Sandwich Struct Mater. 2019;21:2887–2920.
- Alibeigloo A. Elasticity solution of functionally graded carbon nanotube-reinforced composite cylindrical panel subjected to thermo mechanical load. Compos Part B: Eng. 2016;87:214–226.
- Norouzi H, Alibeigloo A. Three-dimensional thermoviscoelastic analysis of a FGM cylindrical panel using state space differential quadrature method. J Therm Stresses. 2018;41:383–398.
- Chai Y, Li F, Song Z. Nonlinear vibrations, bifurcations and chaos of lattice sandwich composite panels on Winkler–Pasternak elastic foundations with thermal effects in supersonic airflow. Meccanica. 2019;54:919–944.
- Sheng G, Wang X. Response and control of functionally graded laminated piezoelectric shells under thermal shock and moving loadings. Compos Struct. 2010;93:132–141.
- Alibeigloo A. Transient response analysis of sandwich cylindrical panel with FGM core subjected to thermal shock. Int J Mech Mater Des. 2021;17(3):707–719.
- Van Quyen N, Van Thanh N, Quan TQ, et al. Nonlinear forced vibration of sandwich cylindrical panel with negative Poisson’s ratio auxetic honeycombs core and CNTRC face sheets. Thin-Walled Struct. 2021;162:107571.
- Shen H-S. A comparison of buckling and postbuckling behavior of FGM plates with piezoelectric fiber reinforced composite actuators. Compos Struct. 2009;91:375–384.
- Gibson L, Ashby M. Cellular solids: structure and properties. Cambridge: Cambridge Univ. Pr; 1999.
- Hu J, Wang B. Crack growth behavior and thermal shock resistance of ceramic sandwich structures with an auxetic honeycomb core. Compos Struct. 2021;260:113256.
- Özisik MN, Özışık MN, Özısık MN. Heat conduction. New York: John Wiley & Sons; 1993.
- Reddy JN. A simple higher-order theory for laminated composite plates. 1984.
- He J-H. An elementary introduction to the homotopy perturbation method. Comput Math Appl. 2009;57:410–412.
- He J-H. Homotopy perturbation method for bifurcation of nonlinear problems. Int J Nonlinear Sci Numer Simul. 2005;6:207–208.
- Nayfeh AH, Mook DT. Nonlinear oscillations. New York: Wiley; 2008.
- Feng C, Kitipornchai S, Yang J. Nonlinear bending of polymer nanocomposite beams reinforced with non-uniformly distributed graphene platelets (GPLs). Compos Part B: Eng. 2017;110:132–140.
- Duc ND, Seung-Eock K, Tuan ND, et al. New approach to study nonlinear dynamic response and vibration of sandwich composite cylindrical panels with auxetic honeycomb core layer. Aerosp Sci Technol. 2017;70:396–404.
- Shen H-S, Xiang Y, Fan Y, et al. Nonlinear vibration of functionally graded graphene-reinforced composite laminated cylindrical panels resting on elastic foundations in thermal environments. Compos Part B: Eng. 2018;136:177–186.