NONLINEAR DYNAMIC RESPONSE AND INSTABILITY ANALYSIS OF PIEZOELECTRIC NANOSHELL

In this paper, nonlinear vibration and frequency response and instability analysis of functionally graded piezoelastic cylindrical nanoshell (FG-PECNS) integrated with electrostatic excitation and Visco-Pasternak medium is investigated using the Gurtin–Murdoch surface/interface theory, von-karman-Donnell s shell model, Hamilton’s principle and the assumed mode method combined with Lagrange–Euler s. Complex averaging method combined with arc-length continuation is used to achieve an approximate solution for nonlinear frequency response analysis. The validation and the parametric study are conducted on the nonlinear frequency response and instability analysis of the FG piezoelectric nanoresonator.

Keywords:

FG-Piezoelastic nanoshell , Gurtin–Murdoch surface/interface theory , Nonlinear frequency and instability , Complex averaging method , Arc-length continuation , Electrostatic force.