Nonlinear aeroelastic stability analysis of three-phase nano-composite plates

References

• Ansari, R., and R. Gholami. 2016. Nonlinear primary resonance of third-order deformable functionally graded nano-composite rectangular plates reinforced by carbon nanotubes. Composite Structures 154:707–723. doi:10.1016/j.compstruct.2016.07.023.
   Web of Science ®Google Scholar
• Arani, A. G., H. B. Zaeri, and E. Haghparast. 2016. Application of Halpin-Tsai method in modelling and size-dependent vibration analysis of CNTs/fiber/polymer composite microplates. Journal of Computational Applied Mechanics 47 (1):45–52.
   Google Scholar
• Arefi, M., and A. H. S. Arani. 2018. Higher order shear deformation bending results of a magnetoelectricthermoelastic functionally graded nanobeam in thermal, mechanical, electrical, and magnetic environments. Mechanics Based Design of Structures and Machines 46 (6):669–692. doi:10.1080/15397734.2018.1434002.
   Web of Science ®Google Scholar
• Barari, A., R. Abdoul, F. Ghotbi, F. Farrokhzad, and D. D. Ganji. 2008. Variational iteration method and homotopy-perturbation method for solving different types of wave equations. Journal of Applied Sciences 8 (1):120–126.
   Google Scholar
• Chang, T. P., C. Y. Hu, and K. C. Jane. 1998. Vibration analysis of delaminated composite plates under axial load. Mechanics Based Design of Structures and Machines 26 (2):195–218. doi:10.1080/08905459808945427.
   Google Scholar
• Choudalakis, G., and A. D. Gotsis. 2009. Permeability of polymer/clay nano-composites: A review. European Polymer 45 (4):967–984. doi:10.1016/j.eurpolymj.2009.01.027.
   Google Scholar
• Ding, J., L. Chu, L. Xin, and G. Dui. 2018. Nonlinear vibration analysis of functionally graded beams considering the influences of the rotary inertia of the cross section and neutral surface position. Mechanics Based Design of Structures and Machines 46 (2):225–237. doi:10.1080/15397734.2017.1329020.
   Web of Science ®Google Scholar
• Ebbesen, T. W., and P. M. Ajayan. 1992. Large-scale synthesis of carbon nanotubes. Nature 358 (6383):220–222. doi:10.1038/358220a0.
   Web of Science ®Google Scholar
• Ebrahimi, F., and S. Habibi. 2018. Nonlinear eccentric low-velocity impact response of a polymer-carbon nanotube-fiber multiscale nano-composite plate resting on elastic foundations in hygrothermal environments. Mechanics of Advanced Materials and Structures 25 (5):425–438. doi:10.1080/15376494.2017.1285453.
   Web of Science ®Google Scholar
• Fazelzadeh, S. A., S. Pouresmaeeli, and E. Ghavanloo. 2015. Aeroelastic characteristic of functionally graded carbon nanotube-reinforced composite plates under a supersonic flow. Computers Methods in Applied Mechanics and Engineering 285:714–729. doi:10.1016/j.cma.2014.11.042.
   Web of Science ®Google Scholar
• Ganapathi, M., and T. K. Varadan. 1995. Supersonic flutter of laminated curved panels. Defence Science Journal 45 (2):147–159.
   Google Scholar
• Gong, Y., Y. J. Baik, C. P. Li, C. Byon, J. M. Park, and T. J. Ko. 2017. Experimental and modeling investigation on machined surfaces of HDPE-MWCNT polymer nano-composite. The International Journal of Advanced Manufacturing Technology 88 (1–4):879–885. doi:10.1007/s00170-016-8840-9.
   Web of Science ®Google Scholar
• He, J. H. 1999. Homotopy perturbation technique. Computer Methods in Applied Mechanics and Engineering 178 (3–4):257–262. doi:10.1016/S0045-7825(99)00018-3.
   Web of Science ®Google Scholar
• He, J. H. 2003. Homotopy perturbation method: a new nonlinear analytical technique. Applied Mathematics and Computations 133:73–79. doi:10.1016/S0096-3003(01)00312-5.
   Google Scholar
• Jane, K. C., and Y. C. Harn. 2000. Vibration of delaminated beam-plates with multiple delaminations under axial forces. Mechanics Based Design of Structures and Machines 28 (1):496–464. doi:10.1081/SME-100100611.
   Google Scholar
• Kargarnovin, M. H., M. T. Ahmadian, and R. A. Jafari-Talookolaei. 2012. Dynamics of a delaminated Timoshenko beam subjected to a moving oscillatory mass. Mechanics Based Design of Structures and Machines 40 (2):218–240. doi:10.1080/15397734.2012.658504.
   Web of Science ®Google Scholar
• Ke, L. L., J. Yang, and S. Kitipornchai. 2010. Nonlinear free vibration of functionally graded nanotube-reinforced composite beams. Composite Structures 92 (3):676–683. doi:10.1016/j.compstruct.2009.09.024.
   Web of Science ®Google Scholar
• Kiani, Y. 2017. Free vibration of FG-CNT reinforced composite spherical shell panels using Gram-Schmidt shape functions. Composite Structures 159:368–381. doi:10.1016/j.compstruct.2016.09.079.
   Web of Science ®Google Scholar
• Kim, M., Y.-B. Park, O. I. Okoli, and C. Zhang. 2009. Processing, characterization, and modeling of carbon nanotube-reinforced multiscale composites. Composite Science and Technology 69 (3–4):335–342. doi:10.1016/j.compscitech.2008.10.019.
   Web of Science ®Google Scholar
• Lei, Z. X., L. W. Zhang, K. M. Liew, and J. L. Yu. 2014. Dynamic stability analysis of carbon nanotube-reinforced functionally graded cylindrical panels using the element-free kp-Ritz method. Composite Structures 113:328–338. doi:10.1016/j.compstruct.2014.03.035.
   Web of Science ®Google Scholar
• Li, C. 2017. Nonlocal thermo-electro-mechanical coupling vibrations of axially piezoelectric nanobeams. Mechanics Based Design of Structures and Machines 45 (4):463–478. doi:10.1080/15397734.2016.1242079.
   Web of Science ®Google Scholar
• Liao, S.-J. 1995. An approximate solution not depending on small parameters: a special example. International Journal of Nonlinear Mechanics 30 (3):371–380. doi:10.1016/0020-7462(94)00054-E.
   Web of Science ®Google Scholar
• Liao, C. L., and Y. W. Sun. 1993. Flutter analysis of stiffened laminated composite plates and shells in supersonic flow. AIAA Journal 31 (10):1897–1905.
   Google Scholar
• Malekzadeh, P., M. Dehbozorgi, and S. M. Monajjemzadeh. 2015. Vibration of functionally graded carbon nanotube-reinforced composite plates under a moving load. Science and Engineering of Composite Materials 22 (1):37–55.
   Web of Science ®Google Scholar
• Rafiee, M., X. Q. He, S. Mareishi, and K. M. Liew. 2014a. Modeling and stress analysis of smart CNTs/fiber/polymer multiscale plates. International Journal of Applied Mechanics 06 (03):1450025. doi:10.1142/S1758825114500252.
   Google Scholar
• Rafiee, M., X. F. Liu, X. Q. He, and S. Kitipornchai. 2014b. Geometrically nonlinear free vibration of shear deformable piezoelectric carbon nanotube/fiber/polymer multiscale laminated composite plates. Journal of Sound and Vibration 333 (14):3236–3251. doi:10.1016/j.jsv.2014.02.033.
   Web of Science ®Google Scholar
• Rafiee, M., F. Nitzsche, and M. Labrosse. 2016. Rotating nano-composite thin-walled beams undergoing large deformation. Composite Structures 150:191–199. doi:10.1016/j.compstruct.2016.05.014.
   Web of Science ®Google Scholar
• Rafiee, M., F. Nitzsche, and M. R. Labrosse. 2018. Cross-sectional design and analysis of multiscale nanotubes-reinforced composite beams and blades. International Journal of Applied Mechanics 10 (03):1850032. (doi:10.1142/S1758825118500321.
   Google Scholar
• Rahman, R., and A. Haque. 2013. Molecular dynamic simulation of graphene reinforced nano-composites for evaluating elastic constants. Procedia Engineering 56:789–794. doi:10.1016/j.proeng.2013.03.197.
   Google Scholar
• Ribeiro, P. 2016. Non-local effects on the non-linear modes of vibration of carbon nano-tubes under electrostatic actuation. International Journal of Non-Linear Mechanics 87:1–20. doi:10.1016/j.ijnonlinmec.2016.07.007.
   Web of Science ®Google Scholar
• Selim, B. A., L. W. Zhang, and K. M. Liew. 2017. Impact analysis of CNT-reinforced composite plates based on Reddy’s higher-order shear deformation theory using an element-free approach. Composite Structures 170:228–242. doi:10.1016/j.compstruct.2017.03.026.
   Web of Science ®Google Scholar
• Shafiei, H., and A. Setoodeh. 2017. Nonlinear free vibration and post-buckling of FG-CNTRC beams on nonlinear foundation. Steel and Composite Structures 24 (1):65–77. doi:10.12989/scs.2017.24.1.065.
   Web of Science ®Google Scholar
• Thostenson, E. T., and T. W. Chou. 2003. On the elastic properties of carbon nanotube-based composites: modelling and characterization. Journal of Physics D: Applied Physics 36 (5):573–582. doi:10.1088/0022-3727/36/5/323.
   Web of Science ®Google Scholar
• Tornabene, F., M. Bacciocchi, N. Fantuzzi, and J. N. Reddy. 2017. Multiscale approach for three-phase CNT/polymer/fiber laminated nano-composite structures. Polymer Composites 40:E102–E126. doi:10.1002/pc.24520.
   Web of Science ®Google Scholar
• Venkatesh, G. S., A. Deb, and A. Karmarkar. 2012. Characterization and finite element modeling of montmorillonite/polypropylene nano-composites. Materials & Design 35:425–433. doi:10.1016/j.matdes.2011.09.038.
   Web of Science ®Google Scholar
• Yas, M. H., and N. Samadi. 2012. Free vibrations and buckling analysis of carbon nanotube-reinforced composite Timoshenko beams on elastic foundation. International Journal of Pressure Vessels and Piping 98:119–128. doi:10.1016/j.ijpvp.2012.07.012.
   Web of Science ®Google Scholar
• Yazdi, A. A. 2015. Nonlinear flutter of laminated composite plates resting on nonlinear elastic foundations using homotopy perturbation method. International Journal of Structural Stability and Dynamics 15 (05):1450072. (15 pages). doi:10.1142/S0219455414500722.
   Google Scholar
• Zhang, L. W. 2016. Geometrically nonlinear large deformation of CNT-reinforced composite plates with internal column supports. Journal of Modeling in Mechanics and Materials 1 (1):20160154.
   Google Scholar
• Zhang, L. W., D. Huang, and K. M. Liew. 2015. An element-free IMLS-Ritz method for numerical solution of three-dimensional wave equations. Computer Methods in Applied Mechanics and Engineering 297:116–139. doi:10.1016/j.cma.2015.08.018.
   Web of Science ®Google Scholar
• Zhang, L. W., Z. X. Lei, and K. M. Liew. 2015. Buckling analysis of FG-CNT reinforced composite thick skew plates using an element-free approach. Composite Part B 75:36–46. doi:10.1016/j.compositesb.2015.01.033.
   Web of Science ®Google Scholar
• Zhang, L. W., W. H. Liu, and K. M. Liew. 2016. Geometrically nonlinear large deformation analysis of triangular CNT-reinforced composite plates. International Journal of Non-Linear Mechanics 86:122–132. doi:10.1016/j.ijnonlinmec.2016.08.004.
   Web of Science ®Google Scholar
• Zhang, L. W., Z. G. Song, and K. M. Liew. 2015. State-space Levy method for vibration analysis of FG-CNT composite plates subjected to in-plane loads based on higher-order shear deformation theory. Composite Structures 134:989–1003. doi:10.1016/j.compstruct.2015.08.138.
   Web of Science ®Google Scholar
• Zhang, L. W., and L. N. Xiao. 2017. Mechanical behavior of laminated CNT-reinforced composite skew plates subjected to dynamic loading. Composite Part B 122:219–230. doi:10.1016/j.compositesb.2017.03.041.
   Web of Science ®Google Scholar
• Zhang, L. W., P. Zhu, and K. M. Liew. 2014. Thermal buckling of functionally graded plates using a local Kriging meshless method. Composite Structures 108:472–492. doi:10.1016/j.compstruct.2013.09.043.
   Web of Science ®Google Scholar
• Zhu, P., L. W. Zhang, and K. M. Liew. 2014. Geometrically nonlinear thermomechanical analysis of moderately thick functionally graded plates using a local Petrov-Galerkin approach with moving Kriging interpolation. Composite Structures 107:298–314. doi:10.1016/j.compstruct.2013.08.001.
   Web of Science ®Google Scholar