Eventos Anais de eventos
COBEM 2017
24th ABCM International Congress of Mechanical Engineering
Recursive methodology applied to determination of semi-analytical solution of anisotropic thick plates in linear bending
Submission Author:
Tales de Vargas Lisbôa , Sachsen
Co-Authors:
Rogério Marczak, Tales de Vargas Lisbôa
Presenter: Tales de Vargas Lisbôa
doi://10.26678/ABCM.COBEM2017.COB17-2431
Abstract
The objective of this paper is to analyse a recursive methodology so as to determine semi-analytical solution of anisotropic thick plates. This methodology is based on Adomian Decomposition and pb-2 Rayleigh-Ritz methods. The first one can be defined by three main characteristics: the decomposition of the differential/matrix operator; the expansion of the problem's solution in an infinite series and the determination of each term by a recursive procedure that relates a specific term of the expansion to the previous terms as well as to the decomposed parts of the operator. The second method approximates the solution's space by weighted kinematically admissible interpolation functions. By the minimization of the total potential functional, each function's weight is defined, resulting in a global response of the problem. Along with Adomian Decomposition Method, the solution expansion is related to an infinite sum of weighting vector of Rayleigh-Ritz Method. The convergence of the recursive methodology is presented and numeric results are provided and good agreement is achieved when compared to solutions found in the literature.
Keywords
Adomian Decomposition Method, Anisotropic thick plates, Rayleigh-Ritz Method, Semi-analytic solutions
