Le Verrier method and linear differential equations

Citation
K. Reaud et al., Le Verrier method and linear differential equations, CR A S IIB, 328(10), 2000, pp. 773-778
Citations number
3
Language
FRANCESE
art.tipo
Article
Categorie Soggetti
Mechanical Engineering
Journal title
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE II FASCICULE B-MECANIQUE
ISSN journal
1620-7742 → ACNP
Volume
328
Issue
10
Year of publication
2000
Pages
773 - 778
Database
ISI
SICI code
1620-7742(200010)328:10<773:LVMALD>2.0.ZU;2-Z
Abstract
crucial step of algorithms allowing the study of discrete mechanical system vibrations is the determination of eigenmodes and eigenvalues. The accurac y of the results is of great important because the stability study of the s ystem depends on them. Eigenvalues can be found with a very good precision, however the eigenmodes determination is awkward: their direction could pre sent significant instabilities. We proposed a method which avoids the neces sity of doing eigenmodes research and so the attendant instabilities. It is based on Le Verrier-Souriau algorithm usually reserved for the resolution of linear algebraic systems. (C) 2000 Academie des sciences/Editions scient ifiques et medicales Elsevier SAS.