Vibration analysis and pull-in instability behavior in multi walled piezoelectric nano-sensor with fluid flow conveyance: influences of surface/interface energy

Abstract

In this work, surface/interface effects for pull-in voltage and viscous fluid velocity effects on dimensionless natural frequency (DNF) of fluid-conveying multi walled piezoelectric nanoresonator (FC-MWPENS) based on cylindrical nanoshell is investigated using the Gurtin–Murdoch surface/interface theory. The nano-sensor is embedded in viscoelastic foundation, nonlinear van der Waals and electrostatic forces. Hamilton’s principle is used for deriving of the governing equations and boundary conditions and also the assumed mode method is used for changing the partial differential equations into ordinary differential equation. The influences of the surface/interface effect such as Lame’s constants, residual stress, piezoelectric constants and mass density are considered for analysis of dimensionless natural frequency respect to viscous fluid velocity and pull-in voltage of FC-MWPENS.