Amirkabir University of Technology Amirkabir Journal of Mechanical Engineering 2008-6032 53 Issue 2 (Special Issue) 2021 04 21 Nonlinear Electro-aero-elastic Vibration Analysis of a Nanocomposite Laminated Trapezoidal Actuator Nonlinear Electro-aero-elastic Vibration Analysis of a Nanocomposite Laminated Trapezoidal Actuator 1137 1158 3911 10.22060/mej.2020.17292.6564 FA Marziye Noroozia Mechanical Engineering AUT Firooz Bakhtiari-Nejad Journal Article 2019 11 03 The nonlinear vibration behaviors of a cantilevered piezoelectric carbon nanotube-reinforced composite trapezoidal plate as an actuator in micro air vehicles are considered in this article. The assumption of the uniformly distributed single-walled carbon nanotubes along the thickness is taken into consideration. The plate is exposed to subsonic airflow which is modeled by linear potential flow theory and subjected to combined parametric and external excitations. The large deflection von Karman plate assumptions are applied to derive the governing equations of the motion of the laminated trapezoidal plate by using Hamilton’s principle. Galerkin’s approach combined with proper transformation is formulated and utilized to transform the geometry of the trapezoidal plate into a rectangular computational domain. The nonlinear two-degrees-of-freedom ordinary differential equations with cubic nonlinearities in the case of 1:3 internal resonance and primary resonance are solved by using the multiple scales method. The frequency-response and time-response curves are obtained to analyze the nonlinear dynamic behavior of the plate and study the effects of different parameters such as the amplitudes and frequencies of the excitations and aerodynamic pressure on the nonlinear vibration and dynamic stability of the thin laminated plate. As a result, a complex softening nonlinearity is observed in frequency-response curves. The nonlinear vibration behaviors of a cantilevered piezoelectric carbon nanotube-reinforced composite trapezoidal plate as an actuator in micro air vehicles are considered in this article. The assumption of the uniformly distributed single-walled carbon nanotubes along the thickness is taken into consideration. The plate is exposed to subsonic airflow which is modeled by linear potential flow theory and subjected to combined parametric and external excitations. The large deflection von Karman plate assumptions are applied to derive the governing equations of the motion of the laminated trapezoidal plate by using Hamilton’s principle. Galerkin’s approach combined with proper transformation is formulated and utilized to transform the geometry of the trapezoidal plate into a rectangular computational domain. The nonlinear two-degrees-of-freedom ordinary differential equations with cubic nonlinearities in the case of 1:3 internal resonance and primary resonance are solved by using the multiple scales method. The frequency-response and time-response curves are obtained to analyze the nonlinear dynamic behavior of the plate and study the effects of different parameters such as the amplitudes and frequencies of the excitations and aerodynamic pressure on the nonlinear vibration and dynamic stability of the thin laminated plate. As a result, a complex softening nonlinearity is observed in frequency-response curves. https://mej.aut.ac.ir/article_3911_1bf50aaf147b3b0ddd26a820d2ed394d.pdf