A Precise Bound For Gyroscopic Stabilization

Rostyslav Hryniv; Wolfhard Kliem; Peter Lancaster; Christian Pommer

doi:10.1002/1521-4001(200008)80:8<507::AID-ZAMM507>3.0.CO;2-5

A Precise Bound For Gyroscopic Stabilization

Rostyslav Hryniv, Wolfhard Kliem, Peter Lancaster, Christian Pommer

University of Calgary

Research output: Contribution to journal › Journal article › Research › peer-review

Abstract

We consider gyroscopic systems Mx(t) + hGx(t) + Kx(t) = 0 where M > 0, G(T) = -G, and K < 0. A is shown how to compute a critical value of parameter (h) over cap which (in many cases) separates stable and unstable regimes for gyroscopic stabilization. Comparison is made with some known, sufficient conditions for stability or instability, and a theory is developed (including the formulation of a related Lyapunov function) which unifies several earlier results concerning systems of this kind. Numerical examples are included.

Original language	English
Journal	Zeitschrift fuer Angewandte Mathematik und Mechanik
Volume	80
Issue number	8
Pages (from-to)	507-516
ISSN	0044-2267
DOIs	https://doi.org/10.1002/1521-4001(200008)80:8<507::AID-ZAMM507>3.0.CO;2-5
Publication status	Published - 2000

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abstract = "We consider gyroscopic systems Mx(t) + hGx(t) + Kx(t) = 0 where M > 0, G(T) = -G, and K < 0. A is shown how to compute a critical value of parameter (h) over cap which (in many cases) separates stable and unstable regimes for gyroscopic stabilization. Comparison is made with some known, sufficient conditions for stability or instability, and a theory is developed (including the formulation of a related Lyapunov function) which unifies several earlier results concerning systems of this kind. Numerical examples are included. ",

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AU - Hryniv, Rostyslav

AU - Kliem, Wolfhard

AU - Lancaster, Peter

AU - Pommer, Christian

PY - 2000

Y1 - 2000

N2 - We consider gyroscopic systems Mx(t) + hGx(t) + Kx(t) = 0 where M > 0, G(T) = -G, and K < 0. A is shown how to compute a critical value of parameter (h) over cap which (in many cases) separates stable and unstable regimes for gyroscopic stabilization. Comparison is made with some known, sufficient conditions for stability or instability, and a theory is developed (including the formulation of a related Lyapunov function) which unifies several earlier results concerning systems of this kind. Numerical examples are included.

AB - We consider gyroscopic systems Mx(t) + hGx(t) + Kx(t) = 0 where M > 0, G(T) = -G, and K < 0. A is shown how to compute a critical value of parameter (h) over cap which (in many cases) separates stable and unstable regimes for gyroscopic stabilization. Comparison is made with some known, sufficient conditions for stability or instability, and a theory is developed (including the formulation of a related Lyapunov function) which unifies several earlier results concerning systems of this kind. Numerical examples are included.

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JO - Zeitschrift fuer Angewandte Mathematik und Mechanik

JF - Zeitschrift fuer Angewandte Mathematik und Mechanik

IS - 8

ER -

A Precise Bound For Gyroscopic Stabilization

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