Free vibration characteristics of triple-walled viscoelastic nanotubes using the stress-driven model

Abstract In this study, a comprehensive analytical model has been developed to investigate the free vibration behavior of triple-walled viscoelastic nanotubes. The model has been constructed by adapting the equations of motion derived based on the stress-driven approach to the triple-walled beam form and incorporating viscoelastic effects using the Kelvin–Voigt model. A Navier-type solution method has been used to solve the problem, and the results obtained from the analyses have been presented in tables and graphs for detailed evaluation. Thus, it has been observed that the system approaches the single-walled beam behavior with the increase in bond forces, that the increase in the scale parameter raises the natural frequencies, and that viscoelastic damping significantly shapes the dynamic response. Furthermore, the interactions between these parameters have been discussed. In conclusion, this study provides an important contribution to understanding the dynamic behavior of multi-walled nanotubes.