Title :

Homotopy perturbation technique for improving solutions of large quadratic eigenvalue problems: Application to friction-induced vibration

Author(s) :

Sadet, Jérémy [Auteur]
Laboratoire d'Automatique, de Mécanique et d'Informatique industrielles et Humaines - UMR 8201 [LAMIH]
Optimisation de grande taille et calcul large échelle [BONUS]
Massa, Franck [Auteur]
Laboratoire d'Automatique, de Mécanique et d'Informatique industrielles et Humaines - UMR 8201 [LAMIH]
Tison, Thierry [Auteur]
Laboratoire d'Automatique, de Mécanique et d'Informatique industrielles et Humaines - UMR 8201 [LAMIH]
Turpin, Isabelle [Auteur]
Laboratoire de Mathématiques pour l’Ingénieur [LMI]
Lallemand, Bertrand [Auteur]
Laboratoire d'Automatique, de Mécanique et d'Informatique industrielles et Humaines - UMR 8201 [LAMIH]
Talbi, El-Ghazali [Auteur]
Optimisation de grande taille et calcul large échelle [BONUS]

Journal title :

Mechanical Systems and Signal Processing

Pages :

107492

Publisher :

Elsevier

Publication date :

2021-05

ISSN :

0888-3270

English keyword(s) :

Quadratic Eigenvalue Problem
Homotopy
Perturbation
Projection
Nonlinear vibration
Friction-induced vibration

HAL domain(s) :

Mathématiques [math]
Sciences de l'ingénieur [physics]/Mécanique [physics.med-ph]/Vibrations [physics.class-ph]

English abstract : [en]

This paper puts forward a projection technique for accurately calculating solutions of large Quadratic Eigenvalue Problem. The aim here is to stabilize the complex eigensolutions whilst reducing residual errors, especially ...
Show more >This paper puts forward a projection technique for accurately calculating solutions of large Quadratic Eigenvalue Problem. The aim here is to stabilize the complex eigensolutions whilst reducing residual errors, especially when considering significant damping contribution or asymmetric stiffness matrices. Hence, more confident results can be obtained in the frequency band of interest. To achieve this, high order modes, calculated using the homotopy perturbation technique, are introduced in the projection step of the classical method. This numerical proposal is a generalization of the classical projection, based only on normal modes of the associated undamped problem. To evaluate the efficiency of the suggested method, a finite element application dedicated to a friction-induced vibration problem is investigated.Show less >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

Popular science :

Non

Collections :

• Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189

Source :

Harvested from HAL