COMPARISON OF NONCLASSICAL CONTROLLERS ON ‎NONLINEAR VIBRATIONS ANALYSIS OF PIEZOELECTRIC ‎NANORESONATOR

Sayyid H. Hashemi Kachapi, Sayyideh Gh. Hashemi Kachapi

DOI Number
10.22190/FUME240903011K
First page
Last page

Abstract


In current work, semi 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

Piezoelectric nanoresonator, Nonlocal strain gradient theory, Gurtin–Murdoch surface/interface, Nonlinear frequency response, Complex averaging

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References


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