H.-S. Shen, Nonlinear bending of functionally graded carbon nanotube-reinforced composite plates in thermal environments, Composite Structures, 91(1) (2009) 9-19.
 A. Shooshtari, M. Rafiee, Vibration characteristics of nanocomposite plates under thermal conditions including nonlinear effects, Int J Appl Res Mech Eng, 1(1) (2011) 60-69.
 Z.-X. Wang, H.-S. Shen, Nonlinear vibration and bending of sandwich plates with nanotube-reinforced composite face sheets, Composites Part B: Engineering, 43(2) (2012) 411-421.
 M. Rafiee, X. He, K. Liew, Non-linear dynamic stability of piezoelectric functionally graded carbon nanotube-reinforced composite plates with initial geometric imperfection, International Journal of Non-Linear Mechanics, 59 (2014) 37-51.
 R. Kolahchi, M. Safari, M. Esmailpour, Dynamic stability analysis of temperature-dependent functionally graded CNT-reinforced visco-plates resting on orthotropic elastomeric medium, Composite Structures, 150 (2016) 255-265.
 X. Guo, W. Zhang, Nonlinear vibrations of a reinforced composite plate with carbon nanotubes, Composite Structures, 135 (2016) 96-108.
 M. Krommer, H. Irschik, A Reissner-Mindlin-type plate theory including the direct piezoelectric and the pyroelectric effect, Acta Mechanica, 141(1-2) (2000) 51-69.
 H.-S. Shen, Thermal postbuckling of shear-deformable laminated plates with piezoelectric actuators, Composites science and technology, 61(13) (2001) 1931-1943.
 C. Lim, L. He, A. Soh, Three-dimensional electromechanical responses of a parallel piezoelectric bimorph, International Journal of Solids and Structures, 38(16) (2001) 2833-2849.
 C. Lim, L. He, Exact solution of a compositionally graded piezoelectric layer under uniform stretch, bending and twisting, International Journal of Mechanical Sciences, 43(11) (2001) 2479-2492.
 M. Donadon, S.d. Almeida, A. De Faria, Stiffening effects on the natural frequencies of laminated plates with piezoelectric actuators, Composites Part B: Engineering, 33(5) (2002) 335-342.
 G. Liu, K. Dai, K. Lim, Static and vibration control of composite laminates integrated with piezoelectric sensors and actuators using the radial point interpolation method, Smart materials and structures, 13(6) (2004) 1438.
 C. Lim, C. Lau, A new two-dimensional model for electro-mechanical response of thick laminated piezoelectric actuator, International journal of solids and structures, 42(20) (2005) 5589-5611.
 F. Heidary, M.R. Eslami, Piezo-control of forced vibrations of a thermoelastic composite plate, Composite structures, 74(1) (2006) 99-105.
 A. Fernandes, J. Pouget, Structural response of composite plates equipped with piezoelectric actuators, Computers & structures, 84(22-23) (2006) 1459-1470.
 Z.K. Kusculuoglu, T.J. Royston, Nonlinear modeling of composite plates with piezoceramic layers using finite element analysis, Journal of Sound and Vibration, 315(4-5) (2008) 911-926.
 W. Zhang, Z. Yao, M. Yao, Periodic and chaotic dynamics of composite laminated piezoelectric rectangular plate with one-to-two internal resonance, Science in China Series E: Technological Sciences, 52(3) (2009) 731-742.
 M. Yao, W. Zhang, Multi-pulse chaotic motions of high-dimension nonlinear system for a laminated composite piezoelectric rectangular plate, Meccanica, 49(2) (2014) 365-392.
 M. Saviz, An optimal approach to active damping of nonlinear vibrations in composite plates using piezoelectric patches, Smart Materials and Structures, 24(11) (2015) 115024.
 Y. Li, E.s. Pan, Static bending and free vibration of a functionally graded piezoelectric microplate based on the modified couple-stress theory, International Journal of Engineering Science, 97 (2015) 40-59.
 Y. Zhang, W. Zhang, Z. Yao, Analysis on nonlinear vibrations near internal resonances of a composite laminated piezoelectric rectangular plate, Engineering Structures, 173 (2018) 89-106.
 K. Khorshidi, M. Karimi, Flutter analysis of sandwich plates with functionally graded face sheets in thermal environment, Aerospace Science and Technology, 95 (2019) 105461.
 R. Srinivasan, B. Babu, Free vibration of cantilever quadrilateral plates, The Journal of the Acoustical Society of America, 73(3) (1983) 851-855.
 K. Liew, K. Lam, A Rayleigh-Ritz approach to transverse vibration of isotropic and anisotropic trapezoidal plates using orthogonal plate functions, International Journal of Solids and Structures, 27(2) (1991) 189-203.
 K. Liew, Y. Xiang, S. Kitipornchai, Transverse vibration of thick rectangular plates—I. Comprehensive sets of boundary conditions, Computers & structures, 49(1) (1993) 1-29.
 S. Kitipornchai, Y. Xiang, K. Liew, M. Lim, A global approach for vibration of thick trapezoidal plates, Computers & structures, 53(1) (1994) 83-92.
 C. Chen, S. Kitipornchai, C. Lim, K. Liew, Free vibration of cantilevered symmetrically laminated thick trapezoidal plates, International Journal of Mechanical Sciences, 41(6) (1999) 685-702.
 S. Shokrollahi, F. Bakhtiari-Nejad, Limit cycle oscillations of swept-back trapezoidal wings at low subsonic flow, Journal of aircraft, 41(4) (2004) 948-953.
 I. Shufrin, O. Rabinovitch, M. Eisenberger, A semi-analytical approach for the geometrically nonlinear analysis of trapezoidal plates, International Journal of Mechanical Sciences, 52(12) (2010) 1588-1596.
 M. Zamani, A. Fallah, M. Aghdam, Free vibration analysis of moderately thick trapezoidal symmetrically laminated plates with various combinations of boundary conditions, European Journal of Mechanics-A/Solids, 36 (2012) 204-212.
 P. Malekzadeh, A. Zarei, Free vibration of quadrilateral laminated plates with carbon nanotube reinforced composite layers, Thin-Walled Structures, 82 (2014) 221-232.
 K. Torabi, H. Afshari, F.H. Aboutalebi, Vibration and flutter analyses of cantilever trapezoidal honeycomb sandwich plates, Journal of Sandwich Structures & Materials, 21(8) (2019) 2887-2920.
 W. Tian, Z. Yang, Y. Gu, X. Wang, Analysis of nonlinear aeroelastic characteristics of a trapezoidal wing in hypersonic flow, Nonlinear Dynamics, 89(2) (2017) 1205-1232.
 W. Tian, Z. Yang, T. Zhao, Analysis of Nonlinear Vibrations and Dynamic Responses in a Trapezoidal Cantilever Plate Using the Rayleigh-Ritz Approach Combined with the Affine Transformation, Mathematical Problems in Engineering, 2019(1) (2019) 1–23.
 F. Bakhtiari-Nejad, M. Noroozi, Nonlinear Vibrations of Piezoelectric Carbon Nanotube-Reinforced Composite Trapezoidal Actuator Under Strong Electric Field, in: ASME 2017 International Mechanical Engineering Congress and Exposition, American Society of Mechanical Engineers, 2017, pp. V04BT05A039-V004BT005A039.
 J.N. Reddy, Mechanics of laminated composite plates and shells: theory and analysis, CRC press, 2003.
 R.L. Bisplinghoff, H. Ashley, R.L. Halfman, Aeroelasticity, Courier Corporation, 2013.
 P. Zhu, Z. Lei, K.M. Liew, Static and free vibration analyses of carbon nanotube-reinforced composite plates using finite element method with first order shear deformation plate theory, Composite Structures, 94(4) (2012) 1450-1460.