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Title

FREE VIBRATION OF FUNCTIONALLY GRADED RECTANGULAR NANOPLATES IN THERMAL ENVIRONMENT BASED ON THE MODIFIED COUPLE STRESS THEORY

Pages

 Start Page 323 | End Page 330

Abstract

 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 that the earlier classical plate theories were not able to explain. 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 both the functionally graded rectangular plate and the rectangular nanoplates are compared with those reported in the literature, separately. Finally, the effect of various parameters such as the power law index a, the thickness to length scale parameter ratio h/l, aspect ratio a/b, thickness ratio a/h on the natural frequencies of plates in THERMAL ENVIRONMENTs with different temperatures are presented and discussed in detail.

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