Eventos Anais de eventos
COBEM 2021
26th International Congress of Mechanical Engineering
ANALYSIS OF LAMINATE COMPOSITE PLATES USING MOVING LEAST SQUARE RITZ METHOD
Submission Author:
Plínio Santos , SP
Co-Authors:
Plínio Santos, Marcelo Pereira, Mauricio Donadon
Presenter: Plínio Santos
doi://10.26678/ABCM.COBEM2021.COB2021-0276
Abstract
A semi-analytical model using moving least square Ritz (MLS-Ritz) method is proposed in this paper to evaluate the behavior of laminate composite plates. A symmetrical and balanced laminate stacking sequence is considered here. Conditions of simply supported edges and uniform distribution of flexural loads have been analyzed. The model consists of creating points in a rectangular composite plate, where polynomials functions associated with a weight function are created for each point over the plate to obtain a shape function. Each point is imposed to meet the respective geometric boundary conditions. The basis function to approximate the solution is taken from Pascal triangle in order to ensure the minimum completeness. An appropriate positive weight function is chosen to evaluate the contribution of each node within a circular domain at a specific point. Therefore, we can assemble the Ritz shape function to approximate all the grid points displacement. In order to obtain the stiffness matrix, the classical laminate theory (CLT) is used to express the total potential energy functional. Therefore, the displacement field can be obtained. A convergency study is performed to evaluate the suitable number of nodes and Gauss points. The results are compared to Navier solution.
Keywords
Laminate Composite plates, Moving Least Square Ritz Method, Semi-analytical
