Investigation of the Effect of Porosity on the Forced Nonlinear Vibrations of Functionally Graded Conical Shells

This article examines the effect of porosity on the nonlinear forced vibrations of functionally graded conical shells. The presence of porosity during manufacturing processes can significantly influence the material properties, either positively or negatively. Initially, the physical properties of the functionally graded material (FGM) structure are modeled, after which the impact of various types of porosity on the applied geometry and governing motion equations is derived based on first shear deformation theory. The motion equations for simply supported boundary conditions are transformed into ordinary differential equations using the Galerkin method. Subsequently, five motion equations are simplified according to Volmir's rule, resulting in a single reduced equation. The dynamic response of the functionally graded conical shell is then computed using the fourth-order Runge-Kutta method. Finally, the effects of varying the porosity parameter and the type of porosity distribution on the frequency and temporal response of the conical shell are investigated.

کلیدواژه ها:

Functionally graded materials ، Conical shell ، Nonlinear forced vibration ، Galerkin method