Static Analysis of a Nano Plate by Using Generalized Differential Quadrature Method

Authors : Şeref AKBAŞ

Pages : 30-39

Doi:10.24107/ijeas.252143

View : 16 | Download : 4

Publication Date : 2016-08-19

Article Type : Research Paper

Abstract :In this paper, static analysis of a nano rectangular plate subjected to uniform distributed load is studied based on modified couple stress theory insert ignore into journalissuearticles values(MSCT); by using Generalized Differential Quadrature insert ignore into journalissuearticles values(GDQ); Method. The inclusion of an additional material parameter enables the new plate model to capture the size effect. The new non-classical plate model reduces to the classical plate model when the length scale parameter is set to zero. In deriving of the governing equations, the minimum total potential energy principle is used. In the solution of the governing equations, the DQM method is used for simply-supported nano plate within the Kirchhoff-Love plate theory. In the numerical results, the influences the material length scale parameter and the dimension parameters of the plate on the static deflection of the nano plate is presented. Also, the difference between the classical theory insert ignore into journalissuearticles values(CT); and MSCT is investigated for static responses of nano plate. 
Keywords : Nano Plate, Modified couple stress theory, Generalized Differential Quadrature Method, Static Analysis