A Timoshenko beam model for vibration analysis of chiral single-walled carbon nanotubes

• Dynamics of zigzag, armchair and chiral CNTs are studied.
• The governing equations are constructed based on the nonlocal Timoshenko beam theory.
• A significant dependence of natural frequencies on the chirality of a single-walled carbon is shown.
• Nonlocal effect on vibration characteristics of chiral CNTs is examined.

In this paper, dynamic properties of a single-walled carbon nanotube (SWCNT) with small scale effects are studied. Based on the nonlocal continuum theory and the Timoshenko beam model, the equations of motion are derived. The influences of scale coefficients, the vibrational mode number, the chirality of carbon nanotube and the aspect ratio on the vibrational characteristics of the SWCNTs are discussed. Results indicate significant dependence of natural frequencies on the chirality of single-walled carbon, the small-scale parameter, the vibrational mode number and the aspect ratio. These findings are important in mechanical design considerations of devices that use carbon nanotubes.

The dynamic properties of the single-walled carbon nanotube (SWCNT) with small scale effects are studied by using the nonlocal elasticity theory.Figure optionsDownload as PowerPoint slide