Vibration Control of Multi Walled Nanosensor by Piezoelectric and Electrostatic Actuator Using Nonlocal and Surface/interface Parameters

Abstract

In this work, vibration control of multi walled piezoelectric nanosensor (MWPENS) using nonclassical theories of nonlocal (NLT), nonlocal strain gradient (NSGT) and Gurtin–Murdoch surface/interface (GMSIT) approaches are presented. The nanosensor is embedded in direct nonlinear electrostatic voltage DC, harmonic excitation, structural damping, two piezoelectric layers and nonlinear van der Waals (vdW) force. Hamilton’s principle and Galerkin technique respectively are used to obtain the governing equations and boundary conditions and to solve the equation of motion. For this work, effects of surface/interface energy, size and, material length scale parameters on pull-in voltage VDC and dimensionless natural frequency (DNF) are consided and nonclassical theories compared with classical theory. It is concluded that ignoring nonclassical effects lead to inaccurate results in vibrational response of the MWPENS. In all boundary condition, S/I effects lead to increasing of MWPENS stiffness leads to more DC voltage to reach the pull-in instability and other nonclassical effects lead to decreasing of MWPENS stiffness and as a result decreasing of DNF. Also, with ignoring the surface/interface density ρ^I,S and Lame’s constants μ^I,S, respectively the system will have a maximum and minimum DNF than the other parameters and MWPENS respectively will later and sooner than other parameters reach the pull-in voltage.