MODEL REDUCTION METHODS APPLIED TO A NONLINEAR MECHANICAL SYSTEM

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Romes Antonio Borges
Daniel Gonçalves
Antônio Marcos De lima
Lázaro Fonseca Júnior

Abstract

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).

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How to Cite
Antonio Borges, R., Gonçalves, D., De lima, A. M., & Fonseca Júnior, L. (2019). MODEL REDUCTION METHODS APPLIED TO A NONLINEAR MECHANICAL SYSTEM. International Journal for Innovation Education and Research, 7(7), 281-300. https://doi.org/10.31686/ijier.Vol7.Iss7.1611
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