This paper aims at reviewing nonlinear methods for model order reduction in structures with
geometric nonlinearity, with a special emphasis on the techniques based on invariant …

The purpose of this study is to provide an exhaustive review of the literature on the vibration
and buckling of functionally graded materials (FGMs), functionally graded conical shells …

This paper develops a new solution approach to solve nonlinear forced vibrations of
functionally graded (FG) piezoelectric shells in multi-physics fields. The FG piezoelectric …

In the present study, we analyze the nonlinear forced vibration of thin-walled metal foam
cylindrical shells reinforced with functionally graded graphene platelets. Attention is focused …

The nonlinear forced vibrations of functionally graded material (FGM) sandwich cylindrical
shells with porosities on an elastic substrate are studied. A step function and a porosity …

This paper performs nonlinear vibration analysis of metal foam circular cylindrical shells
reinforced with graphene platelets. An improved Donnell nonlinear shell theory is employed …

Based on the first-order shear deformation theory (FSDT) for shells, the free vibration of a
spinning functionally graded (FG) spherical–cylindrical–conical (SCC) shell with arbitrary …

In this article, in order to investigate the nonlinear forced vibrations in multi-physics fields, a
coupled nonlinear modeling for composite cylindrical shells is developed by the improved …

A first known study is conducted on the vibrations of functionally graded material (FGM)
rectangular plates with porosities and moving in thermal environment. The FGM plates …

Multi-harmonic excitations are commonly observed in rotor systems and affect their
nonlinear characteristics significantly. However, most of the published nonlinear studies on …