STUDY AND COMPARISON OF REDUCTION METHODS OF MECHANICAL SYSTEMS.
Daniel Ferreira Gonçalves1; Lázaro Antônio da Fonseca Júnior1; Romes Antônio Borges1; Antônio Marcos Gonçalves de Lima2
1 Universidade Federal de Goiás - Regional Catalão, UFG, 75704-020, Catalão-GO, Brasil; 2 Universidade Federal de Uberlândia Av. João Naves Vieira 2121, 38.408-100, Uberlândia-MG, Brasil
doi:10.20906/CPS/COB-2015-2396
Resumo
In problems of modern engineering, the computational cost is an important factor in numeric-computational analysis. Dynamic systems are mainly modeled by Finite Elements Method (FEM). In this context, emphasis is given to the model reduction methods in which the degrees of freedom and the orders of the system matrices are reduced so as to preserve its dynamic characteristics. Based on the reduced system, the use of these methods provides a large reduction in computational cost and storage required in the analysis process. In this work, a comparative study of reduction methods is presented, namely: Static Reduction, Iterative Improved Reduced System (IIRS), System Equivalent Reduction Expansion Process (SEREP) and Modal Base Method(BM). Mechanical gantry structures type and Euler-Bernoulli beam subject to insertion of linear springs and punctual loads are modeled by finite element procedures. Analysis in the field of frequency and time utilizing the numerical integration of the Newmark were performed to validate the results and the gain in computational cost process with the use of reduced models.
Palavras-chave: mechanical systems; Elementos Finitos ; Static Reduction; Iterative Improved Reduced System; System Equivalent Reduction Expansion Process; Modal base; Newmark Method