Size-dependent frequency analysis of the magneto-electro-elastic rotary microdisk by incorporating modified couple stress and higher-order shear deformation theories

Abstract

In this research, critical angular velocity and frequency of a magneto-electro-elastic (MEE) rotary microdisk using modified couple stress theory (MCST) is presented. The computational formulations of the MEE microdisk are obtained by mixing the strain terms of MCST to the microsystem's strain energy. Fore modeling the current microstructure's displacement field, higher-order shear deformation theory (HSDT) is presented. Consequently, for obtaining the microsystem's critical angular velocity and frequency information, the size-dependent governing equations are solved using the generalized differential quadrature method (GDQM). Afterward, a parametric study is done to present the impacts of the applied ampere, length scale factor, applied voltage, and radius ratio on the frequency responses and critical rotating speed of the MEE rotary microdisk by considering MCST. The results show that the impact of length scale on the system dynamics is considerable than the effect of applied ampere and the mentioned issue is more clear for simply boundary conditions. Finally, in plane ($l/h,$$\mathrm{\Psi }$), we can find a triangular surface in which applied ampere and length scale do not have any effect on the frequency of the rotary system, and the triangular surface becomes smaller due to changing boundary conditions from simply-simply to clamped-clamped.

Keywords:

• Rotary MEE microdisk
• symmetric rotation gradient
• modified couple stress theory
• non-classical boundary conditions
• length scale parameter

Additional information

Funding

This work was supported by PhD early development program of Inner Mongolia University BS548.