عنوان	Free vibration and stability of hybrid nanocomposite-reinforced shallow toroidal shells using an extended closed-form formula based on the Galerkin method
نوع پژوهش	مقاله چاپ‌شده در مجلات علمی
کلیدواژه‌ها	Toroidal shells,free vibration,stability; firstorder transverse shear deformation theory,closedform solution,carbon nanotube,graphene nanoplatelet
چکیده	This paper presents an analytical solution for free-vibration and stability analyses of hybrid-composite toroidal shells. The considered hybrid material incorporates the composition of fibers and nanocomposite-reinforced matrix (NCRM) such as carbon nanotubes (CNTs) and graphene nanoplatelets (GPLs). The governing differential equations are extended based on the first-order transverse shear deformation theory (FSDT) and are solved by employing the approximation of Fourier series and Galerkin method. The considered hybrid composite material in the parametric studies are consisted of three layers in which the polymeric matrix are reinforced by CNTs in some layers and reinforced by GPLs in the other layers.
پژوهشگران	محمدامین شاه محمدی (نفر اول)، سید محمد میرفتاح (نفر دوم)، حمزه صالحی پور (نفر سوم)، مجتبی ازهری (نفر چهارم)، عمر سیوالک (نفر پنجم)