This study proposes an improved First-Order Shear Deformation Theory for analyzing the free and forced vibrations of zigzag and armchair nanobeams subjected to moving concentrated loads. The model incorporates shear correction functions that meet traction-free boundary conditions and integrates microstructural effects through the Doublet Mechanics (DM) theory, achieving a balance between precision and computational efficiency. Numerical simulations demonstrate excellent agreement with molecular dynamics simulation results and prior studies based on the DM approach. The findings reveal that increasing the material length scale parameter significantly improves stiffness and reduces deflection. Additionally, the velocity of the moving load plays a critical role in determining peak Dynamic Amplification Factor values, particularly under clamped-clamped boundary conditions. This proposed model proves to be a reliable and efficient tool for accurate predictions of nanoscale vibration behaviors.
Karamanlı et al. (Fri,) studied this question.