%0 Journal Article %T A theoretical approach for flexural behavior of FG vibrating micro-plates with piezoelectric layers considering a hybrid length scale parameter %J Journal of Theoretical and Applied Vibration and Acoustics %I Iranian Society of Acoustics and Vibration and Avecina %Z 2423-4761 %A Khorshidi, Korosh %A Bahrami, Mahdi %A Karimi, Mahdi %A Ghasemi, Mohsen %D 2020 %\ 01/01/2020 %V 6 %N 1 %P 51-68 %! A theoretical approach for flexural behavior of FG vibrating micro-plates with piezoelectric layers considering a hybrid length scale parameter %K Vibrating FG micro-plate %K Piezoelectric %K Modified couple stress theory %R 10.22064/tava.2020.112068.1142 %X 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. %U https://tava.isav.ir/article_241759_8b5ce0b3145b36483392f003f0367cac.pdf