Geometrically nonlinear nonlocal strain gradient vibration of FG shear deformable curved nanobeams

This article focuses on studying the nonlinear vibration of functionally graded (FG) curved nanobeams resting Pasternak-Winkler elastic foundation based nonlocal strain gradient theory along with first-order shear deformation beam (FSDBT) considering von-Kármán hypothesis. The Hamilton principle is applied to extract three motion equations and Galerkin method (GM) utilized spatially reduce differential equations. analytical approach two-step perturbation (TSPM) was employed deal governing To verify outcomes present article, natural frequencies frequency ratios are validated those reported in literature. Subsequently, results presented this paper a significant point describe FG conjunction different parameters.