International Journal of Engineering and Applied Sciences, cilt.17, sa.3, ss.121-130, 2025 (Hakemli Dergi)
This paper presents a comprehensive analysis of the torsional vibration of circular rods using nonlocal elasticity theory, emphasizing its applicability in nanoscale systems. The equation of motion for nonlocal torsional vibration of nanoscale rods is first derived. After applying some transformations to the obtained equation of motion, the frequency equation is formulated. In addition, a nonlocal finite element model (NL-FEM) for the rod is developed using the weighted residual method.