References
- Arefi, M., E. M. R. Bidgoli, R. Dimitri, M. Bacciocchi, and F. Tornabene. 2019b. Nonlocal bending analysis of curved nanobeams reinforced by graphene nanoplatelets. Composites Part B: Engineering 166:1–12. doi:https://doi.org/10.1016/j.compositesb.2018.11.092.
- Arefi, M., E. M. R. Bidgoli, R. Dimitri, and F. Tornabene. 2018. Free vibrations of functionally graded polymer composite nanoplates reinforced with graphene nanoplatelets. Aerospace Science and Technology 81:108–17. doi:https://doi.org/10.1016/j.ast.2018.07.036.
- Arefi, M., E. M. R. Bidgoli, R. Dimitri, F. Tornabene, and J. N. Reddy. 2019a. Size-dependent free vibrations of FG polymer composite curved nanobeams reinforced with graphene nanoplatelets resting on Pasternak foundations. Applied Sciences 9 (8):1580. doi:https://doi.org/10.3390/app9081580.
- Bahaadini, R., and A. R. Saidi. 2018. Aeroelastic analysis of functionally graded rotating blades reinforced with graphene nanoplatelets in supersonic flow. Aerospace Science and Technology 80:381–91. doi:https://doi.org/10.1016/j.ast.2018.06.035.
- Beskok, A., and G. E. Karniadakis. 1999. Report: A model for flows in channels, pipes, and ducts at micro and nano scales. Microscale Thermophysical Engineering 3 (1):43–77.
- Dastjerdi, S., and Y. Tadi Beni. 2019. A novel approach for nonlinear bending response of macro-and nanoplates with irregular variable thickness under nonuniform loading in thermal environment. Mechanics Based Design of Structures and Machines 47 (4):453–478. doi:https://doi.org/10.1080/15397734.2018.1557529.
- Daulton, T. L., K. S. Bondi, and K. F. Kelton. 2010. Nanobeam diffraction fluctuation electron microscopy technique for structural characterization of disordered materials—Application to Al88− xY7Fe5Tix metallic glasses. Ultramicroscopy 110 (10):1279–89. doi:https://doi.org/10.1016/j.ultramic.2010.05.010.
- Ebrahimi, F., and M. R. Barati. 2018. Damping vibration analysis of graphene sheets on viscoelastic medium incorporating hygro-thermal effects employing nonlocal strain gradient theory. Composite Structures 185:241–53. doi:https://doi.org/10.1016/j.compstruct.2017.10.021.
- Ebrahimi, F., and S. H. S. Hosseini. 2016. Thermal effects on nonlinear vibration behavior of viscoelastic nanosize plates. Journal of Thermal Stresses 39 (5):606–25. doi:https://doi.org/10.1080/01495739.2016.1160684.
- Ebrahimi, F., S. H. S. Hosseini, and S. S. Bayrami. 2019. Nonlinear forced vibration of pre-stressed graphene sheets subjected to a mechanical shock: An analytical study. Thin-Walled Structures 141:293–307. doi:https://doi.org/10.1016/j.tws.2019.04.038.
- Ebrahimi, F., M. Nouraei, and A. Dabbagh. 2019. Modeling vibration behavior of embedded graphene-oxide powder-reinforced nanocomposite plates in thermal environment. Mechanics Based Design of Structures and Machines 1–24. doi:https://doi.org/10.1080/15397734.2019.1660185.
- Eringen, A. C. 1983. Theories of nonlocal plasticity. International Journal of Engineering Science 21 (7):741–51. doi:https://doi.org/10.1016/0020-7225(83)90058-7.
- Eringen, A. C., and D. G. B. Edelen. 1972. On nonlocal elasticity. International Journal of Engineering Science 10 (3):233–48. doi:https://doi.org/10.1016/0020-7225(72)90039-0.
- Fattahi, A. M., S. Sahmani, and N. A. Ahmed. 2019. Nonlocal strain gradient beam model for nonlinear secondary resonance analysis of functionally graded porous micro/nano-beams under periodic hard excitations. Mechanics Based Design of Structures and Machines 1–30. doi:https://doi.org/10.1080/15397734.2019.1624176.
- Ghadiri, M., and S. H. S. Hosseini. 2019. Parametric excitation of Euler–Bernoulli nanobeams under thermo-magneto-mechanical loads: Nonlinear vibration and dynamic instability. Composites Part B: Engineering 173:106928. doi:https://doi.org/10.1016/j.compositesb.2019.106928.
- Ghadiri, M., A. Rajabpour, and A. Akbarshahi. 2018. Non-linear vibration and resonance analysis of graphene sheet subjected to moving load on a visco-Pasternak foundation under thermo-magnetic-mechanical loads: An analytical and simulation study. Measurement 124:103–19. doi:https://doi.org/10.1016/j.measurement.2018.04.007.
- Hossein Jalaei, M., R. Dimitri, and F. Tornabene. 2019. Dynamic stability of temperature-dependent graphene sheet embedded in an elastomeric medium. Applied Sciences 9 (5):887. doi:https://doi.org/10.3390/app9050887.
- Jalaei, M. H., and A. G. Arani. 2018. Analytical solution for static and dynamic analysis of magnetically affected viscoelastic orthotropic double-layered graphene sheets resting on viscoelastic foundation. Physica B: Condensed Matter 530:222–35. doi:https://doi.org/10.1016/j.physb.2017.11.049.
- Jalaei, M. H., A. G. Arani, and H. Tourang. 2018. On the dynamic stability of viscoelastic graphene sheets. International Journal of Engineering Science 132:16–29. doi:https://doi.org/10.1016/j.ijengsci.2018.07.002.
- Karniadakis, G., A. Beskok, and N. Aluru. 2005. Simple fluids in nanochannels. Microflows and Nanoflows: Fundamentals and Simulation 365–406.
- Lee, C., X. Wei, J. W. Kysar, and J. Hone. 2008. Measurement of the elastic properties and intrinsic strength of monolayer graphene. Science 321 (5887):385–8. doi:https://doi.org/10.1126/science.1157996.
- Liao, H. 2016. Stability analysis of duffing oscillator with time delayed and/or fractional derivatives. Mechanics Based Design of Structures and Machines 44 (4):283–305. doi:https://doi.org/10.1080/15397734.2015.1056882.
- Liu, H., and Z. Lv. 2018. Vibration and instability analysis of flow-conveying carbon nanotubes in the presence of material uncertainties. Physica A: Statistical Mechanics and Its Applications 511:85–103. doi:https://doi.org/10.1016/j.physa.2018.07.043.
- Malikan, M., and M. N. Sadraee Far. 2018. Differential quadrature method for dynamic buckling of graphene sheet coupled by a viscoelastic medium using neperian frequency based on nonlocal elasticity theory. Journal of Applied and Computational Mechanics 4 (3):147–60.
- Mohamadi, B., S. A. Eftekhari, and D. Toghraie. 2019. Numerical investigation of nonlinear vibration analysis for triple-walled carbon nanotubes conveying viscous fluid. International Journal of Numerical Methods for Heat & Fluid Flow doi:https://doi.org/10.1108/HFF-10-2018-0600.
- Nayfeh, A. H., and D. T. Mook. 2008. Nonlinear oscillations. John Wiley & Sons.
- Paidoussis, M. P. 1998. Fluid-structure interactions: Slender structures and axial flow, vol. 1. Academic Press.
- Potekin, R., S. Kim, D. M. McFarland, L. A. Bergman, H. Cho, and A. F. Vakakis. 2018. A micromechanical mass sensing method based on amplitude tracking within an ultra-wide broadband resonance. Nonlinear Dynamics 92 (2):287–304. doi:https://doi.org/10.1007/s11071-018-4055-y.
- Pradhan, S. C., and A. Kumar. 2010. Vibration analysis of orthotropic graphene sheets embedded in Pasternak elastic medium using nonlocal elasticity theory and differential quadrature method. Computational Materials Science 50 (1):239–45. doi:https://doi.org/10.1016/j.commatsci.2010.08.009.
- Pradhan, S. C., and J. K. Phadikar. 2009. Nonlocal elasticity theory for vibration of nanoplates. Journal of Sound and Vibration 325 (1-2):206–23. doi:https://doi.org/10.1016/j.jsv.2009.03.007.
- Radić, N., and D. Jeremić. 2016. Thermal buckling of double-layered graphene sheets embedded in an elastic medium with various boundary conditions using a nonlocal new first-order shear deformation theory. Composites Part B: Engineering 97:201–15. doi:https://doi.org/10.1016/j.compositesb.2016.04.075.
- Rahmanian, S., M. R. Ghazavi, and S. Hosseini-Hashemi. 2019. On the numerical investigation of size and surface effects on nonlinear dynamics of a nanoresonator under electrostatic actuation. Journal of the Brazilian Society of Mechanical Sciences and Engineering 41 (1):16. doi:https://doi.org/10.1007/s40430-018-1506-9.
- Rashidi, V., H. R. Mirdamadi, and E. Shirani. 2012. A novel model for vibrations of nanotubes conveying nanoflow. Computational Materials Science 51 (1):347–52. doi:https://doi.org/10.1016/j.commatsci.2011.07.030.
- Reddy, J. N. 1997. Mechanics of laminated plates: Theory and analysis.
- Saadatnia, Z., and E. Esmailzadeh. 2017. Nonlinear harmonic vibration analysis of fluid-conveying piezoelectric-layered nanotubes. Composites Part B: Engineering 123:193–209. doi:https://doi.org/10.1016/j.compositesb.2017.05.012.
- Saidi, A. R., R. Bahaadini, and K. Majidi-Mozafari. 2019. On vibration and stability analysis of porous plates reinforced by graphene platelets under aerodynamical loading. Composites Part B: Engineering 164:778–99. doi:https://doi.org/10.1016/j.compositesb.2019.01.074.
- Shahsavari, D., B. Karami, and S. Mansouri. 2018. Shear buckling of single layer graphene sheets in hygrothermal environment resting on elastic foundation based on different nonlocal strain gradient theories. European Journal of Mechanics – A/Solids 67:200–14. doi:https://doi.org/10.1016/j.euromechsol.2017.09.004.
- Sobhy, M. 2016. Hygrothermal vibration of orthotropic double-layered graphene sheets embedded in an elastic medium using the two-variable plate theory. Applied Mathematical Modelling 40 (1):85–99. doi:https://doi.org/10.1016/j.apm.2015.04.037.
- Tang, Y., and T. Yang. 2018. Post-buckling behavior and nonlinear vibration analysis of a fluid-conveying pipe composed of functionally graded material. Composite Structures 185:393–400. doi:https://doi.org/10.1016/j.compstruct.2017.11.032.
- Yan, J. W., S. K. Lai, and L. H. He. 2019. Nonlinear dynamic behavior of single-layer graphene under uniformly distributed loads. Composites Part B: Engineering 165:473–90.
- Zhang, L. W., Y. Zhang, and K. M. Liew. 2017. Vibration analysis of quadrilateral graphene sheets subjected to an in-plane magnetic field based on nonlocal elasticity theory. Composites Part B: Engineering 118:96–103. doi:https://doi.org/10.1016/j.compositesb.2017.03.017.
- Zhang, Y., L. W. Zhang, K. M. Liew, and J. L. Yu. 2016. Free vibration analysis of bilayer graphene sheets subjected to in-plane magnetic fields. Composite Structures 144:86–95. doi:https://doi.org/10.1016/j.compstruct.2016.02.041.