Eringen\'s nonlocal model sandwich with Kelvin\'s theory for vibration of DWCNT

In this paper, vibration characteristics of chiral double-walled carbon nanotubes entrenched on Kelvin\'s model. The Eringen\'s nonlocal elastic equations are being combined with Kelvin\'s theory to observe small scale response. A nonlocal model has been formulated to explore the frequency spectrum of chiral double-walled CNTs along with diversity of indices and nonlocal parameter. Wave propagation is proposed technique to establish field equations of model subjected to four distinct end supports. The significance of scale effect in relevance of length-to-diameter and thickness- to- radius ratios are discussed and displayed in detail.