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Articles

Numerical comparison of reduced order models for non-linear vibrations of damped plates

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Pages 174-183 | Published online: 28 Aug 2012
 

Abstract

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.

Ce travail porte sur le calcul des solutions non linéaires de vibration des plaques minces amorties par le couplage de la méthode d’Equilibrage Harmonique et la Méthode Asymptotique Numérique (MAN). Ces calculs peuvent conduire à un temps significatif si la solution recherchée contient un nombre important d’harmoniques. Dans cette étude, nous proposons deux modèles pour réduire le temps de calcul. Les deux méthodes sont basées sur un premier calcul réalisé avec un petit nombre d’harmoniques (ici deux). Des exemples numériques de plaques montrent que ces algorithmes aident à économiser beaucoup de temps et peuvent être appliqués à des problèmes impliquant de nombreuses harmoniques.

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