On Indefinite Damping and Gyroscopic Stabilization

Titelangaben

Damm, Tobias ; Homeyer, Jan:
On Indefinite Damping and Gyroscopic Stabilization.
In: Proceedings of the 18th IFAC World Congress 2011 Held in Milano, Italy. - Milano, Italy : International Federation of Automatic Control (IFAC) , 2011 . - S. 7589-7593
ISBN 978-3-902661-93-7
DOI: https://doi.org/10.3182/20110828-6-IT-1002.01773

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Abstract

We consider linear vibrational systems with positive definite stiffness matrix K and indefinite damping matrix D. For the system to be stabilizable by gyroscopic forces it is necessary that both the trace of D and the trace of K⁻¹D [$K^(-1)D$] is positive. In the present note we discuss sufficiency of this condition.