On the dynamics and resonance frequency of an electro-elastic rotary non-classical piezoelectric microdisk

Abstract

In this research, frequency and resonance area information of a size-dependent electro-elastic rotary non-classical piezoelectric microdisk via modified couple stress theory (MCST) is presented. The computational formulation of the electrically microdisk, non-classical governing equations of electrically annular microdisk are derived by adding the symmetric rotation gradient and higher-order stress tensors to the strain energy. The current non-classical approach is capable for capturing the size-dependency in the electrically annular microdisk by using single material length scale factor. Finally, the non-classical governing equations are solved using generalized differential quadrature method (GDQM). Afterward, a parametric study is carried out to investigate the effects of applied ampere, length scale factor, applied voltage, and radius ratio on the resonance area and frequency responses of the electrically microdisk by considering MCST. The meaningful of resonance area in the current research is that, all designers should have attention to the lower values of natural frequency for obtaining the accurate results. Afterward, a parametric study is done to present the impacts of the radius ratio, length scale parameter, circumferential and radial mode number, geometry of piezoelectric material, applied voltage, and boundary conditions on the frequency responses of the piezoelectric microdisk by considering MCST. The results show that, when the foundation is considered, the effect of the radius ratio on the critical voltage of a piezoelectric microdisk reduces.