A Dynamic Analysis of Porous Coated Functionally Graded Nanoshells Rested on Viscoelastic Medium

Theoretical research has numerous challenges, particularly about modeling structures, unlike experimental analysis, which explores the mechanical behavior of complex structures. Therefore, this study suggests a new model for functionally graded shell structures called “Tri-coated FGM” using spatial variation material properties to investigate free vibration response incorporating porosities and microstructure-dependent effects. Two types tri-coated FG shells are investigated, hardcore softcore shells, five distribution patterns proposed. A novel modified field displacement is proposed by reducing number variables from four considering shear deformation effect. The rested on viscoelastic Winkler/Pasternak foundation. An analytical solution based Galerkin approach developed solve equations motion derived applying principle Hamilton. addressed different boundary conditions. current conducts an extensive parametric analysis influence several factors, including coated nanoshell patterns, gradient distribution, porosities, length scale parameter (nonlocal), (gradient), geometry, elastic foundation fundamental frequencies. provided results show accuracy technique