Journal article
Indefinite damping in mechanical systems and gyroscopic stabilization
In
Zeitschrift Fuer Angewandte Mathematik Und Physik
—
2009, Volume 60, Issue 4, pp. 785-795
Abstract
This paper deals with gyroscopic stabilization of the unstable system Mx + D(x) over dot + K-x = 0, with positive definite mass and stiffness matrices M and K, respectively, and an indefinite damping matrix D. The main question if for which skew-symmetric matrices G the system Mx (D+ G)(x) over dot + K-x = 0 can become stable? After investigating special cases we find an appropriat solution of the Lyapunov matrix equation for the general case.
Examples show the deviation of the stability limit found by the Lyapunov method from the exact value.
| Language: | English |
|---|---|
| Publisher: | Birkhäuser-Verlag |
| Year: | 2009 |
| Pages: | 785-795 |
| Journal subtitle: | Journal of Applied Mathematics and Physics Journal De Mathématiques Et De Physique Appliquées |
| ISSN: | 14209039 and 00442275 |
| Types: | Journal article |
| DOI: | 10.1007/s00033-007-7072-0 |
