MODEL REDUCTIONS METHODS APPLIED OF NONLINEAR MECHANICAL SYSTEMS
Fonseca Júnior, L. A1; Gonçalves, D. F1; de Lima, A. M. G2; Borges, R. A1
1 Universidade Federal de Goias; 2 Universidade Federal de Uberlândia
doi:10.20906/CPS/COB-2015-2407
Resumo
The analysis of the structures subjected to non-linear phenomena is of great importance in modern engineering, a fact that is given by the constant search for efficient techniques and numerical-computational tools applied in analysis of automotive structures, aerospace, among others. In the search for greater precision, flexibility and reliability, dynamic systems, for the most part, are modeled by Finite Elements (FEM), numerical analysis technique designed to obtain approximate solutions to problems governed by differential equations. A range of systems modeled by finite element procedures may require a great processing ability of computers being feasible, then the use of templates reduction methods in which the degrees of freedom and consequently the order of the system matrices are reduced such as to preserve its dynamic characteristics. Thus, these methods provide a significantly lower computational cost storage, as Modal Basis and CA (Combined Approximations) methods. Here a numeric-computational study of the nonlinear mechanics systems in order to validate the flexibility of the results and the computational gain obtained with the use of reduction methods, analyzes were performed in the frequency and time response, utilizing the numerical integration of the Newmark and Wilson Theta methods.
Palavras-chave: Non Linear System; Combined Approximations Method; Modal Basis Methods; Newmark Method; Wilson Theta Method