Free Vibration Analysis of Nanoplates using Differential Transformation Method

ADMT Journal

مقاله 5، دوره 10، شماره 1، خرداد 2017، صفحه 39-49   

نوع مقاله: Original Article

نویسندگان

Sayed Hassan Nourbakhsh^{* 1}؛ Mohsen Botshekanan Dehkordi²؛ Amir Atrian³

¹Department of Mechanical Engineering, University of Shahrekord, Shahrekord, Iran *Corresponding author

²Department of Mechanical Engineering, University of Shahrekord, Shahrekord, Iran

³Young Researchers and Elite Club, Najafabad Branch, Islamic Azad University, Najafabad, Iran

چکیده

In this paper, a free vibration of nano-plates is investigated considering the small scale parameter. The used rectangular nano plate is thin and under different boundary conditions. In order to obtain the natural frequencies of the nano-plates, classical plate theory on the basis of non-local theory is used. The governing equation is solved using a semi-analytical method DTM[1]. The results for free vibration of those plates are compared with the theoretical data published in the literature. Results show that DTM is a powerful, simple, accurate and fast method for solving equations in comparison with other methods. Non-local parameter is very effective in vibration of nano-plates and its influence is different in various boundary conditions. Influence of this parameter in simply supported-clamp boundary condition is higher than other boundary conditions. 

کلیدواژه‌ها

DTM؛ Free vibration؛ Nano-plate؛ Semi-analytical

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