References
- Bailey T, Hubbard JE. Distributed piezoelectric-polymer active vibration control of a cantilever beam. J Guidance Control Dyn. 1985;8(5):605–611.
- Liew KM, He XQ, Ng TY, et al. Active control of FGM plates subjected to a temperature gradient: modelling via finite element method based on FSDT. Int J Numer Methods Eng. 2001;52(11):1253–1271.
- Takagi K, Li JF, Yokoyama S, et al. Fabrication and evaluation of PZT/Pt piezoelectric composites and functionally graded actuators. J Eur Ceram Soc. 2003;23(10):1577–1583.
- Newnham RE, Bowen LJ, Klicker KA, et al. Composite piezoelectric transducers. Mater Des. 1980;2(2):93–106.
- Ke LL, Liu C, Wang YS. Free vibration of nonlocal piezoelectric nanoplates under various boundary conditions. Physica E. 2015;66:93–106.
- Ebrahimi F, Barati MR. Vibration analysis of smart piezoelectrically actuated nanobeams subjected to magneto-electrical field in thermal environment. J Vib Control. 2018;24(3):549–564.
- Bhatia P, Verma SS, Sinha MM. Size-dependent optical response of magneto-plasmonic core-shell nanoparticles. Adv Nano Res. 2018;1(1):1–13.
- Karami B, Karami S. Buckling analysis of nanoplate-type temperature-dependent heterogeneous materials.”. Adv Nano Res. 2019;7:51–61.
- Bensaid I, Bekhadda A, Kerboua B. Dynamic analysis of higher order shear-deformable nanobeams resting on elastic foundation based on nonlocal strain gradient theory. Adv Nano Res. 2018;6(3):279.
- Jandaghian AA, Rahmani O. Free vibration analysis of magneto-electro-thermo-elastic nano-beams resting on a pasternak foundation. Smart Mater Struct. 2016;25(3):035023.
- Ghayesh MH. Viscoelastic dynamics of axially FG microbeams. Int J Eng Sci. 2019;135:75–85.
- Zenkour AM, Hafed ZS. Bending analysis of functionally graded piezoelectric plates via quasi-3D trigonometric theory. Mech Adv Mater Struct. 2020;27(18):1551–1562.
- Bouazza M, Zenkour AM. Hygro-thermo-mechanical buckling of laminated beam using hyperbolic refined shear deformation theory. Compos Struct. 2020;252:112689.
- Dindarloo MH, Li L. Vibration analysis of carbon nanotubes reinforced isotropic doubly-curved nanoshells using nonlocal elasticity theory based on a new higher order shear deformation theory. Composites Part B. 2019;175:107170.
- Remil A, Benrahou KH, Draiche K, et al. A simple HSDT for bending, buckling and dynamic behavior of laminated composite plates. Struct Eng Mech. 2019;70(3):325–337.
- Nebab M, Atmane HA, Bennai R, et al. Vibration response and wave propagation in FG plates resting on elastic foundations using HSDT. Struct Eng Mech. 2019;69(5):511–525.
- Ghayesh MH. Nonlinear vibration analysis of axially functionally graded shear-deformable tapered beams. Appl Math Model. 2018;59:583–596.
- Lai D, Zhuang K, Wu Q, et al. A novel nonlocal higher-order strain gradient shell theory for static analysis of CNTRC doubly-curved nanoshells subjected to thermo-mechanical loading. Mech Based Des Struct Mach. 2021: 1–17.
- Aminipour H, Janghorban M, Li L. Wave dispersion in nonlocal anisotropic macro/nanoplates made of functionally graded materials. Waves Random Complex Media. 2020;31(6):1–45.
- Hamidi BA, Hosseini SA, Hayati H. Forced torsional vibration of nanobeam via nonlocal strain gradient theory and surface energy effects under moving harmonic torque. Waves Random Complex Media. 2020: 1–16.
- Karami B, Shahsavari D, Janghorban M, et al. Wave dispersion of nanobeams incorporating stretching effect. Waves Random Complex Media. 2019;31(4):1–21.
- Li C, Guo H, Tian X. Size-dependent effect on thermoelectro-mechanical responses of heated nano-sized piezoelectric plate. Waves Random Complex Media. 2019;29(3):477–495.
- Ebrahimi F, Mahesh V. Chaotic dynamics and forced harmonic vibration analysis of magneto-electro-viscoelastic multiscale composite nanobeam. Eng Comput. 2019;37:1–14.
- Ebrahimi F, Karimiasl M, Singhal A. Magneto-electro-elastic analysis of piezoelectric–flexoelectric nanobeams rested on silica aerogel foundation. Eng Comput. 2019;37:1–8.
- Gholipour A, Ghayesh MH, Hussain S. A continuum viscoelastic model of Timoshenko NSGT nanobeams. Eng Comput. 2020: 1–16.
- Bouazza M, Zenkour AM. Vibration of carbon nanotube-reinforced plates via refined nth-higher-order theory. Arch Appl Mech. 2020;90(8):1755–1769.
- Li L, Li X, Hu Y. Nonlinear bending of a two-dimensionally functionally graded beam. Compos Struct. 2018;184:1049–1061.
- Attia MA, Mohamed SA. Nonlinear thermal buckling and postbuckling analysis of bidirectional functionally graded tapered microbeams based on reddy beam theory. Eng Comput. 2020: 1–30.
- Wang L, Yang J, Li YH. Nonlinear vibration of a deploying laminated Rayleigh beam with a spinning motion in hygrothermal environment. Eng Comput. 2020;37:1–17.
- Wang Q, Yao A, Dindarloo MH. New higher-order shear deformation theory for bending analysis of the two-dimensionally functionally graded nanoplates. Proceedings of the Institution of Mechanical Engineers, Part C. J Mech Eng Sci. 2021;235(16):3015–3028.
- Zhang Z, Liu X, Mohammadi R. Impacts of the hygro-thermo conditions on the vibration analysis of 2D-FG nanoplates based on a novel HSDT. Eng Comput. 2021: 1–14.
- Reddy JN, Liu CF. A higher-order shear deformation theory of laminated elastic shells. Int J Eng Sci. 1985;23(3):319–330.
- Karama M, Afaq KS, Mistou S. Mechanical behaviour of laminated composite beam by the new multi-layered laminated composite structures model with transverse shear stress continuity. Int J Solids Struct. 2003;40(6):1525–1546.
- Touratier M. An efficient standard plate theory. Int J Eng Sci. 1991;29(8):901–916.
- Kaczkowski Z. Plates. In. Statical calculations. Warsaw: Arkady; 1968.
- Soldatos KP. A transverse shear deformation theory for homogeneous monoclinic plates. Acta Mech. 1992;94(3-4):195–220.
- Ansari R, Gholami R. Size-dependent nonlinear vibrations of first-order shear deformable magneto-electro-thermo elastic nanoplates based on the nonlocal elasticity theory. Int J Appl Mech. 2016;08(04):1650053.
- Ansari R, Pourashraf T, Gholami R. An exact solution for the nonlinear forced vibration of functionally graded nanobeams in thermal environment based on surface elasticity theory. Thin-Walled Struct. 2015;93:169–176.
- Nayfeh AH, Mook DT. Nonlinear oscillations. Germany: John Wiley & Sons; 2008.
- Li JY. Magnetoelectroelastic multi-inclusion and inhomogeneity problems and their applications in composite materials. Int J Eng Sci. 2000;38:1993–1201.
- Bin W, Jiangong Y, Cunfu H. Wave propagation in non-homogeneous magneto-electro-elastic plates. J Sound Vib. 2008;317:250–264.
- Ke L-L, Wang Y-S, Yang J, et al. “The size-dependent vibration of embedded magneto-electro-elastic cylindrical nanoshells,”. Smart Mater Struct. 2014b;23:125036.
- Ke LL, Wang YS, Wang ZD. Nonlinear vibration of the piezoelectric nanobeams based on the nonlocal theory. Compos Struct. 2012;94(6):2038–2047.
- Aydogdu M. A general nonlocal beam theory: its application to nanobeam bending, buckling and vibration. Physica E. 2009;41(9):1651–1655.