TY - JOUR
T1 - Free vibration of functionally graded rectangular nanoplates in thermal environment based on the modified couple stress theory
TT - تحلیل ارتعاشات آزاد نانو ورق های مستطیلی تابعی مدرج در محیط حرارتی بر اساس تئوری تنش کوپل اصلاح شده
JF - mdrsjrns
JO - mdrsjrns
VL - 14
IS - 15
UR - http://mme.modares.ac.ir/article-15-4847-en.html
Y1 - 2015
SP - 323
EP - 330
KW - Free vibration
KW - functionally graded nanoplates
KW - thermal environment
KW - Modified couple stress theory
N2 - 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.
M3
ER -