Amirkabir University of Technology AUT Journal of Mechanical Engineering 2588-2937 1 2 2017 12 01 A Parametric Study on Flutter Analysis of Cantilevered Trapezoidal FG Sandwich Plates 191 210 2758 10.22060/mej.2017.12329.5314 EN H. Afshari Department of Mechanical Engineering, Khomeinishahr Branch, Islamic Azad University, Khomeinishahr/Isfahan, Iran K. Torabi Faculty of Mechanical Engineering, University of Isfahan, Isfahan, Iran Journal Article 2017 01 08 In this paper, supersonic flutter analysis of cantilevered trapezoidal plates composed of<br />two functionally graded face sheets and an isotropic homogeneous core is presented. Using Hamilton’s<br />principle, the set of governing equations and external boundary conditions are derived. A transformation<br />of coordinates is used to convert the governing equations and boundary conditions from the original<br />coordinates into the new dimensionless computational ones. Generalized differential quadrature method<br />(GDQM) is employed as a numerical method and critical aerodynamic pressure and flutter frequencies<br />are derived. Convergence, versatility, and accuracy of the presented solution are confirmed using<br />numerical and experimental results presented by other authors. The effect of power-law index, thickness<br />of the core, total thickness of the plate, aspect ratio and angles of the plate on the flutter boundaries are<br />investigated. It is concluded that any attempt to increase the critical aerodynamic pressure leads to a<br />decrease in lift force or rise in total weight of the plate. https://ajme.aut.ac.ir/article_2758_7f141cf8e7136ce8701dc6636c2a6fe4.pdf