Open AccessNumerical comparison of reduced order models for non-linear vibrations of damped plates
Author(s) -
F. Boumediene,
Laëtitia Duigou,
A. Miloudi,
Jean-Marc Cadou
Publication year - 2012
Publication title -
european journal of computational mechanics
Language(s) - English
Resource type - Journals
eISSN - 2642-2085
pISSN - 2642-2050
DOI - 10.13052/17797179.2012.719317
Subject(s) - harmonics , computation , harmonic balance , vibration , harmonic , mathematics , harmonic analysis , work (physics) , computer science , algorithm , mathematical optimization , nonlinear system , mathematical analysis , engineering , physics , acoustics , mechanical engineering , voltage , quantum mechanics , electrical engineering
This work deals with the computation of the non-linear solutions of the vibration of damped plates by coupling a harmonic balance method and the asymptotic numerical method. These computations can lead to lengthy central processing unit (CPU) times if the solution sought contains an important number of harmonics. In this study, we propose two reduced order models which can be applied to solve this type of problem. Both reduced methods are based on a first computation carried out with a small number of harmonics (here two). Numerical examples of plate vibration show that these algorithms help save a great deal of computational time and can be applied to problems involving numerous harmonics.