Transient behaviors of curved zigzag nanobeams via finite element doublet mechanics theory

This paper presents a novel investigation into the transient dynamic behavior of curved zigzag nanobeams using the Finite Element Doublet Mechanics (FEDM) theory. A sinusoidal shear deformation theory is employed to capture shear effects, while size-dependent behavior is introduced through a length scale parameter within the Doublet Mechanics framework. The model accounts for a range of boundary conditions, open angles, aspect ratios, and time-dependent loading profiles, including step, sinusoidal, blast, and triangular functions. Validation is performed through comparisons with molecular dynamics simulations and classical continuum beam theories. Results reveal that curvature, boundary conditions, and scale effects significantly influence the transient response. Overall, the study demonstrates the effectiveness of the FEDM theory in accurately predicting nanoscale beam dynamics and offers a robust tool for micro- and nanoscale structural analysis.