TY - JOUR ID - 62125 TI - Refined plate theory for free vibration analysis of FG nanoplates using the nonlocal continuum plate model JO - Journal of Computational Applied Mechanics JA - JCAMECH LA - en SN - 2423-6713 AU - Goodarzi, Mostafa AU - Nikkhah Bahrami, Mansour AU - Tavaf, Vahid AD - Department of Mechanical Engineering, Islamic Azad University, Branch of Ahvaz, Ahvaz, Iran AD - Department of Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran AD - Department of Mechanical Engineering at University of South Carolina Y1 - 2017 PY - 2017 VL - 48 IS - 1 SP - 123 EP - 136 KW - Small scale KW - refined plate theory KW - Vibration analysis KW - FGM nanoplate DO - 10.22059/jcamech.2017.236217.155 N2 - In this article, the free vibration behavior of nanoscale FG rectangular plates is studied within the framework of the refined plate theory (RPT) and small-scale effects are taken into account. Using the nonlocal elasticity theory, the governing equations are derived for single-layered FG nanoplate. The Navier’s method is employed to obtain closed-form solutions for rectangular nanoplates assuming that all edges are simply supported. The results are subsequently compared with valid results reported in the literature. The effects of the small scale on natural frequencies are investigated considering various parameters such as aspect ratio, thickness ratio, and mode numbers. It is shown that the RPT is an accurate and simple theory for the vibration analysis of nanoplates, which does not require a shear correction factor. UR - https://jcamech.ut.ac.ir/article_62125.html L1 - https://jcamech.ut.ac.ir/article_62125_5a90dc66a27dbbb894073c851a031bf5.pdf ER -