Nonlinear dynamic modeling and analysis of functionally graded porous circular/annular plate supported by nonlinear elastic foundation

Interplay of porosity and viscoelasticity in nonlinear free vibrations of cylindrical shells

This study presents an analytical investigation into the nonlinear free vibrations of viscoelastic porous cylinders, accounting for the critical effects of geometrical nonlinearity. The nonlinear governing equations of motion are derived for an arbitrary porosity distribution using Hamilton’s principle, integrated with...

Tunability of Mechanical Behaviors in Multi-Morphology Functionally Graded Porous Beams with TPMS Architectures

Nonlinear combined resonances of FGM stepped sandwich plates under transverse and axial excitations

This paper addresses the nonlinear vibration problem of variable-thickness functionally graded structures and presents the first systematic investigation on the combined resonance characteristics and chaotic dynamic behavior of functionally graded material (FGM) stepped sandwich plates under combined transverse and axi...

Buckling analysis of functionally graded plates using the finite difference method and first-order shear deformation theory

Background/Aim: This study develops and verifies a finite-difference formulation for the linear buckling analysis of rectangular power-law functionally graded material (P-FGM) plates, based on first-order shear deformation theory (FSDT). The aim is to provide an accurate, computationally efficient numerical approach fo...

Nonlinear large-deflection dynamic buckling pressure of helically stiffened FG-GRC toroidal shell segments with porous core

This paper presents an analytical investigation of the nonlinear dynamic buckling behavior of hollow-core functionally graded graphene-reinforced composite (FG-GRC) circular toroidal shell segments subjected to rapidly increasing external pressure. The shell structure is composed of FG-GRC face sheets and a porous core...

Effects of lattice stiffeners on the nonlinear behavior of variable-curvature FG-GRC panels subjected to blast and step loads

This paper presents a semi-analytical investigation of the nonlinear dynamic responses of lattice-stiffened variable-curvature functionally graded graphene-reinforced composite (FG-GRC) sandwich panels with a porous core under impulsive loading conditions. The structure consists of FG-GRC face sheets and a lightweight...