Korosh Khorshidi - Associated Professor, Department of Mechanical Engineering, Faculty of Engineering, Arak University, Arak, Iran
Mahdi Bahrami - MSc Student, Department of Mechanical Engineering, Faculty of Engineering, Arak University, Arak, Iran
Mahdi Karimi - MSc Student, Department of Mechanical Engineering, Faculty of Engineering, Arak University, Arak, Iran
Mohsen Ghasemi - M.Sc. Student, Department of Mechanical Engineering, Faculty of Engineering, Arak university, Arak, IranMSc Student, Department of Mechanical Engineering, Faculty of Engineering, Arak University, Arak, Iran

In the current study, the mechanical performance of functionally graded oscillating micro-plates bonded with piezoelectric layers is examined using the modified couple stress theory. The modified couple stress theory contains a length scale parameter that considers the size-effects of micro-plates. The various modified shear deformation theories are employed to represent the displacement field of micro-plate, such as exponential, parabolic, hyperbolic, trigonometric, and fifth-order shear deformation theories. The properties of FG micro-plate, such as Young’s modulus, density, and length scale parameter, are assumed to vary smoothly and across the micro-plate thickness based on the Power-law model. The governing equations of motion are obtained by Hamilton's principle and solved by a theoretical approach under various boundary conditions. The accuracy of the proposed model is validated based on a comparison of the results with the accepted studies. Computational analysis is carried out to clarify the impacts of mechanical and geometrical variables on the natural frequencies of micro-plates.

Vibrating FG micro-plate, Piezoelectric, Modified couple stress theory