Model reduction methods applied to a nonlinear mechanical system

• Romes Antonio Borges

  Federal University of Goiás, Brazil

  Author

• Daniel Gonçalves

  Federal University of Goiás, Brazil

  Author

• Antônio Marcos De lima

  Federal University of Uberlândia, Brazil

  Author

• Lázaro Fonseca Júnior

  University of Goiás, Brazil

  Author

Modern structures of high flexibility are subject to physical or geometric nonlinearities, and reliable numerical modeling to predict their behavior is essential. The modeling of these systems can be given by the discretization of the problem using the Finite Element Method (FEM), however by using this methodology, it is a very robust model from the computational point of view, making the simulation process difficult. Using reduced models has been an excellent alternative to minimizing this problem. Most model reduction methods are restricted to linear problems, which
motivated us to maximize the efficiency of these methods considering nonlinear problems. For better accuracy, in this study, adaptations and improvements are suggested in reduction methods such as the Enriched Modal Base (EMB), the System Equivalent Reduction Expansion Process (SEREP), QUASI-SEREP and the Iterated Improved Reduced System (IIRS). The stability of a system is discussed according to the calculation of the Lyapunov exponents and phase space. Numerical simulations showed that the reduced models presented a good performance, according to the commitment of quality and speed of responses (or time saving).

1. Romes Antonio Borges, Federal University of Goiás, Brazil

   Mathematics and Technology Institute – School of Industrial Mathematics

2. Daniel Gonçalves, Federal University of Goiás, Brazil

   Mathematics and Technology Institute – School of Industrial Mathematics

3. Antônio Marcos De lima, Federal University of Uberlândia, Brazil

   School of Mechanical Engineering

4. Lázaro Fonseca Júnior, University of Goiás, Brazil

   Mathematics and Technology Institute – School of Industrial Mathematics

• PDF

Copyright (c) 2019 Romes Antonio Borges, Daniel Gonçalves, Antônio Marcos De lima, Lázaro Fonseca Júnior

This work is licensed under a Creative Commons Attribution-NoDerivatives 4.0 International License.

Copyrights for articles published in IJIER journals are retained by the authors, with first publication rights granted to the journal. The journal/publisher is not responsible for subsequent uses of the work. It is the author's responsibility to bring an infringement action if so desired by the author for more visit Copyright & License.