Vibration analysis of multi walled piezoelectric nanoresonator conveying fluid flow: Influences of surface/interface energy and walled number effects

In current work, the surface/interface parameters effects and walled number of fluid‐conveying multi walled piezoelectric nanoresonator (FC‐MWPENR) are investigated on dimensionless natural frequency (DNF) with considering viscous fluid velocity. The mentioned nanostructures (FC‐MWPENR) are subjected to nonlinear electrostatic excitation, nonlinear van der Waals interaction and also viscoelastic foundation. For this aim, Hamilton's approach, the Lagrange–Euler's and the assumed mode methods are used. The influences of FC‐MWPENR walled number are considered for analysis of dimensionless natural frequency respect to the surface/interface effect such as Lame's constants (λI,S,μI,S), residual stress (τ0I,S), piezoelectric constants (e31psk,e32psk), and mass density (ρI,S). In current work, the surface/interface parameters effects and walled number of fluid‐conveying multi walled piezoelectric nanoresonator (FC‐MWPENR) are investigated on dimensionless natural frequency (DNF) with considering viscous fluid velocity. The mentioned nanostructures (FC‐MWPENR) are subjected to nonlinear electrostatic excitation, nonlinear van der Waals interaction and also viscoelastic foundation. For this aim, Hamilton's approach, the Lagrange–Euler's and the assumed mode methods are used.….