A nonlocal Levinson beam model for free vibration analysis of zigzag single-walled carbon nanotubes including thermal effects

► This is the first study on the zigzag CNTs using the nonlocal Levinson beam theory. ► The effect of temperature change on vibration properties of SWCNTs is studied. ► The nonlocal effect on vibration properties of zigzag CNTs is examined. ► The dependence of the frequencies on the chirality of zigzag CNTs is shown.