Atomic Size-Dependent Nonlocal Torsional Vibration of Circular Rod

Year 2025, Volume: 17 Issue: 3, 121 - 130

Aleyna Yazıcıoğlu , Ömer Civalek

https://doi.org/10.24107/ijeas.1597895

Abstract

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.

Keywords

Torsional vibration , Nonlocal elasticity , Nanoscale structures , Finite element method

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