Sayyid H. Hashemi Kachapi - Department of Mechanical Engineering, Babol Noshirvani University of Technology, P.O.Box۴۸۴, Shariati Street, Babol, Mazandaran۴۷۱۴۸-۷۱۱۶۷, Iran
Morteza Dardel - Department of Mechanical Engineering, Babol Noshirvani University of Technology, P.O.Box۴۸۴, Shariati Street, Babol, Mazandaran۴۷۱۴۸-۷۱۱۶۷, Iran
Hamidreza Mohamadi daniali - Department of Mechanical Engineering, Babol Noshirvani University of Technology, P.O.Box۴۸۴, Shariati Street, Babol, Mazandaran۴۷۱۴۸-۷۱۱۶۷, Iran
Alireza Fathi - Department of Mechanical Engineering, Babol Noshirvani University of Technology, P.O.Box۴۸۴, Shariati Street, Babol, Mazandaran۴۷۱۴۸-۷۱۱۶۷, Iran

In this paper, vibration analysis of double walled piezoelectric cylindrical nanoshell (DWPECNS) subjected to Visco-Pasternak medium and van der Waals force is investigated using Gurtin–Murdoch surface/interface theory, Donnell s theory, Hamilton’s and also the assumed mode method. The effects of the surface energy and length of nanoshell and piezoelectric layer, boundary condition and van der Waals (vdW) force on the natural frequencies of DWPECNS is studied. Also, the results are shown that in the nanoscale system is considered surface effects (SE) without considering the surface density (SD), we will have the maximum frequency. As a result, controlling the frequency of the system in this case is essential and it is quite clear that considering the effects of the surface energy (SE) will have a remarkably effect in the natural frequency of the piezo-viscoelastic nanoshell.

Double walled piezoelectric nanoshell, Surface elasticity, Gurtin–Murdoch surface/interface theory, Visco-Pasternak medium, Donnell s theory, van der Waals force.