Volume 14, Issue 15 (2015)                   Modares Mechanical Engineering 2015, 14(15): 323-330 | Back to browse issues page

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Bakhsheshy A, Khorshidi K. Free vibration of functionally graded rectangular nanoplates in thermal environment based on the modified couple stress theory. Modares Mechanical Engineering. 2015; 14 (15) :323-330
URL: http://journals.modares.ac.ir/article-15-4847-en.html
1- Assistant Professor/Arak University
Abstract:   (3919 Views)
In the present study the free vibration analysis of functionally graded rectangular nanoplates in thermal environment is investigated. The modified coupled stress theory based on the first order shear deformation theory has been used to obtain the natural frequencies of the nanoplate. Modified coupled stress theory is a non-classical theory. In this theory material length scale parameter is applied to capture the size effect of the microstructures which the earlier classical plate theories were not able to explain these effects. The functionally graded material properties are varied continuously and smoothly along the thickness. The Poisson’s ratio of the FGM plate is assumed to be constant in the whole plate. In order to validate the present method, the natural frequencies of the both functionally graded rectangular plate and rectangular nanoplates are compared with those are reported in the literature, separately. Finally, the effect of various parameters such as; the power law index, the thickness to length scale parameter ratio, aspect ratio, thickness ratio on the natural frequencies of plates in thermal environments with different temperatures are presented and discussed in detail.
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Article Type: Research Article | Subject: Vibration
Received: 2014/04/9 | Accepted: 2014/05/15 | Published: 2014/10/26

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