Vibration Analysis of Micro-plate using Modified Cosserat Theory and Differential Quadrature Method

The scale effects on free vibration of micro-plate under the different boundary conditions are studied in this paper. The vibrating differential equation is presented based on modified Cosserat theory and Hamilton principle The numerical solution is obtained using differential quadrature method. The results show that scale effects is highly significant on the natural frequency when characteristic length and thickness are close, and the natural frequencies increase along with the increase of characteristic length. Additionally, the thickness has significant influence on scale effects and the aspect ratio doesn't affect.