Free Vibration Analysis of Nanoplates using Differential Transformation Method
الموضوعات :Sayed Hassan Nourbakhsh 1 , Mohsen Botshekanan Dehkordi 2 , Amir Atrian 3
1 - Department of Mechanical Engineering,
University of Shahrekord, Shahrekord, Iran
*Corresponding author
2 - Department of Mechanical Engineering,
University of Shahrekord, Shahrekord, Iran
3 - Young Researchers and Elite Club, Najafabad Branch, Islamic Azad University, Najafabad, Iran
الکلمات المفتاحية: Nano-plate, Semi-analytical, Free vibration, DTM,
ملخص المقالة :
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.
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