Comparison of nonclassical controllers on piezoelectric nanoresonator: nonlinear ‎frequency response and stability 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

In current study, nonlinear vibrations and stability analysis of piezoelectric nanoresonator (PENR) ‎considering with the effects of non-‎classical controllers such as strain gradient (SGT), nonlocal (NLT) and ‎Gurtin–Murdoch surface/interface ‎‎(GMSIT) theories are presented in comparison with the classical theory ‎‎(CT). PENR subjected to nonlinear ‎electrostatic excitation with direct (DC) and alternative (AC) voltages ‎and also visco-pasternak medium. For ‎this work, Hamilton’s principle and Galerkin technique are used to ‎obtain the governing ‎equations and boundary conditions and also to solve the equation of motion. Complex ‎averaging method ‎combined with arc-length continuation is used to investigate 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 of the resonant frequency, resonance amplitude, nonlinear behavior and the ‎system's instability of ‎PENR.‎

Keywords

Main Subjects

References

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Journal of Solid and Fluid Mechanics
Volume 14, Issue 3
September and October 2024
Pages 125-139

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