Isogeometric small-scale-dependent nonlinear oscillations of quasi-3D FG inhomogeneous arbitrary-shaped microplates with variable thickness

The current investigation deals with proposing a numerical analysis for the geometrically nonlinear large-amplitude vibrations of arbitrary-shaped microplates having variable thickness various patterns in presence couple stress type microstructural size dependency. To accomplish this purpose, isogeometric (IGA) is employed to achieve exact geometrical description as well higher-order efficient smoothness no meshing difficulty. On other hand, modified continuum mechanics applied refined quasi-3D plate model capability take stretching into consideration only four variables. are assumed made functionally graded (FG) composites, material properties which changed continuously through thickness. variation microplate obeys three different schemes including linear, concave, and convex ones. It highlighted that by changing pattern from linear one, then concave both classical continuum-based frequency shapes increases due higher value average plat considering change pattern, it seen significance effect increases. For reason, stiffening scheme associated gradient rotation gets lower increment index FG composite microplate.