Akademik Veri Yönetim Sistemi
Mechanics Based Design of Structures and Machines, cilt.54, sa.1, 2026 (SCI-Expanded, Scopus)
In this study, atomic size-dependent and first-order shear-deformable free vibration analysis of nanorings embedded in a fully elastic medium is performed. Although many continuous systems, such as nanobeams, nanorods, and nanoplates, have been modeled with nonlocal elasticity and the significance of shear deformations in their mechanical analyses has been investigated, nanoscaled rings have not been examined in this context. Therefore, the present study provides a novel contribution by integrating nonlocal elasticity, shear deformation, and elastic medium effects for nanorings. According to this, firstly, by combining the equilibrium equations of nanorings with the constitutive equations of nonlocal elasticity, shear force and bending moment are obtained. Then, the frequency equation is attained by solving a set of equations dependent on two infinite series. The nondimensional frequencies of in-plane free vibration of the nanoring structure are computed under different parameters. Numerical calculations are discussed in detail. Additionally, the mechanical behavior of shear-deformable nanorings is compared with nanorings without shear deformation effects. The present study provides a unified formulation that simultaneously accounts for atomic-scale effects, transverse shear deformation, and elastic foundation interaction. This integrated approach enables a more realistic prediction of vibration characteristics of nanoring-based nano-electro-mechanical systems.