Comparison of nonclassical controllers on piezoelectric nanoresonator: natural ‎frequency and pull in voltage analysis

Authors

1 Assistant Professor, Department of Mechanical Engineering, University of Mazandaran, Babolsar, Islamic Republic of ‎Iran

2 Ph.D. Student, Department of Physics, University of Kashan, Kashan, Islamic Republic of Iran

Abstract

Due to the importance of the application of piezoelectric nanostructures and due to their mass and small size ‎at the nano level, parameters depending on the size and surface energy should be included in the theoretical ‎models of their dynamic analysis and mathematical modeling. In current work, some nonclassical controller ‎effects such as strain gradient (SGT), nonlocal (NLT) and Gurtin–Murdoch surface/interface (GMSIT) ‎theories are presented for analyzing of nonlinear vibration in piezoelectric nanoresonator (PENR) compared ‎to classical theory (CT). PENR subjected to nonlinear electrostatic excitation with direct (DC) and ‎alternating (AC) voltages and also visco-pasternak medium. For this analysis, Hamilton’s principle, ‎Galerkin technique, combination of Complex averaging method and arc-length continuation are used to ‎analyze nonlinear frequency response and stability analysis of PENR. The results show that ignoring small-‎scale and surface/interface effects give inaccurate predictions of vibrational response of the PENR. It is ‎indicated that in different boundary condition, material length scale and nonlocal scale parameters ‎respectively lead to decreasing and increasing of PENR stiffness and also the amplitude of oscillation and ‎the range of instability of non-classic theories of NLT and SGT are greater than that of the classical one. ‎Also changes of surface/interface parameters lead to decreasing or increasing the dimensionless natural ‎frequency, resonant frequency, resonance amplitude, nonlinear behavior and the system's instability of ‎PENR.‎

Keywords

Main Subjects

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Journal of Solid and Fluid Mechanics
Volume 14, Issue 5
November and December 2024
Pages 109-120

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