TY - JOUR ID - 72271 TI - Length Scale Effect on Vibration Analysis of Functionally Graded Kirchhoff and Mindlin Micro-Plates JO - International Journal of Engineering JA - IJE LA - en SN - 1025-2495 AU - Jomehzadeh, Emad AU - Noori, Hamid Reza AD - Mechanical Engineering, Kerman Graduate University of Advanced Technology AD - Department of Mechanical engineering, Shahid Bahonar University of Kerman Y1 - 2014 PY - 2014 VL - 27 IS - 3 SP - 431 EP - 440 KW - vibration KW - Micro KW - Plate KW - Functionally graded KW - Modified couple stress theory DO - N2 - In this paper, the modified couple stress theory is used to study vibration analysis of functionally graded rectangular micro-plates. Considering classical and first order plate theories, the couple governing equations of motion are obtained by using the Hamilton’s principle. Considering an assumed mode method, the accurate size dependent natural frequencies are established for simply supported functionally graded rectangular micro-plates. To show the accuracy of the formulations, present results in specific cases are compared with available results in literature and a good agreement is seen. It is found that the natural frequency parameter of micro-plates will decrease as thickness-length ratio increases especially for lower length scale values. The effects of length scale, functionally graded parameter and plate theories on natural frequencies of functionally graded micro-plates are discussed in details. UR - https://www.ije.ir/article_72271.html L1 - https://www.ije.ir/article_72271_fbc947e8fda494def736f71c9630ff88.pdf ER -