REDUCTION MODEL METHODS APPLIED OF MECHANICAL NONLINEAR SYSTEM
Daniel Ferreira Gonçalves1; Lázaro Antônio da Fonseca Júnior1; Stéfany Mayara Ferreira de Rezende1; Romes Antonio Borges1; Antônio Marcos Gonçalves de Lima2
1 Mathematics and Technology Institute, School of Industrial Mathematics, Federal University of Goiás; 2 School of Mechanical Engineering, Federal University of Uberlândia
doi:10.20906/CPS/CILAMCE2015-0732
Resumo
Complex engineering problems, automotive, aerospace, among others, subject to nonlinearities requires big efforts numerical-computational. Dynamic systems are to a large majority, modeled by finite element (FE), numerical analysis technique designed to obtain approximate solutions in problems governed by equations differentials due to better accuracy in the results. Model flexibility and reliability, require at discretization process, arrays of higher dimensions and consequently large processing capacity of computers and higher computational cost. In this context, the use of reduced models is a good alternative. Based on the use of transformation matrices, the size of the system is reduced while preserving the maximum of its dynamic characteristics. The objective of this work has been to explore the efficacy of strategy reduction and improvement for structural dynamic models having nonlinearities. The following techniques and some improvements will be analyzed: Iterative Improved Reduction System (IIRS), Guyan-like, System Equivalent Reduction Expansion Process (SEREP) and Modal Base (BM). The Euler-Bernoulli beam is modeled by finite elements, extern loads and the coupling the nonlinear springs. Transient analysis of the full and reduced systems were performed utilizing the numerical integration of Newmark method.
Palavras-chave: Nonlinear mechanical system; Finite element method; Model reduction methods