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

Year 2016, Volume: 8 Issue: 2, 30 - 39, 19.08.2016

Şeref Akbaş

https://doi.org/10.24107/ijeas.252143

Cited By: 4

Abstract

In this paper, static analysis of a nano rectangular plate subjected to uniform distributed load is studied based on
modified couple stress theory (MSCT) by using Generalized Differential Quadrature (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 (CT) and MSCT is investigated for static
responses of nano plate. 

Keywords

Nano Plate, Modified couple stress theory, Generalized Differential Quadrature Method, Static Analysis