Parametric Instability of Functionally Graded Porous Cylindrical Panels under the Effect of Static and Time-Dependent Axial Loads

This work presents an analytical study of the parametric instability cylindrical panels containing functionally graded porous exposed to static and dynamic periodic axial loads under simply supported boundary conditions. Based on Hamilton’s principle, governing equation motion by using first-order shear deformation theory (FSDT) has been obtained. By applying Galerkin technique, excitation frequency expression is derived, which helps identify areas panels. Numerical simulations are used validate results. Eventually, impacts porosity coefficient, distribution method, loads, panel angle, circumferential wave number, characteristics region displayed in section results discussions. The findings show that when further from surface, more stable structure is. Furthermore, a small angle gives better response than large angle. In addition, increased lead expansion instability.