Gyroscopic Stabilization of Indefinite Damped Systems

Wolfhard Kliem; Peter C. Müller

Gyroscopic Stabilization of Indefinite Damped Systems

Wolfhard Kliem, Peter C. Müller

University of Wuppertal

Research output: Book/Report › Report › Research › peer-review

Abstract

The paper deals with linear systems of differential equationswith symmetric system matrices M,D, and K.The mass matrix M and the stiffness matrix K are both assumed to bepositive definite. The damping matrix D is indefinite. Three questionsare of interest: 1) When is the system unstable? Apparently not always,if the matrix D is indefinite. 2) What can we say about conditions whichensure that an unstable system can be stabilized by adding a gyroscopicterm Gdx/dt? 3) What is, in this case, a suitable or optimal matrixG? The questions are answered in the frame of a first order perturbationapproach.

Original language	English

Number of pages	6
Publication status	Published - 1996
Event	GAMM Wissentschafliche Jahrestagung - Prague Duration: 1 Jan 1996 → …

Conference

Conference	GAMM Wissentschafliche Jahrestagung
City	Prague
Period	01/01/1996 → …

OpenUrl availability

Full text

Cite this

@book{60de675f9f5b437f85f40dbb2d921c45,

title = "Gyroscopic Stabilization of Indefinite Damped Systems",

abstract = "The paper deals with linear systems of differential equationswith symmetric system matrices M,D, and K.The mass matrix M and the stiffness matrix K are both assumed to bepositive definite. The damping matrix D is indefinite. Three questionsare of interest: 1) When is the system unstable? Apparently not always,if the matrix D is indefinite. 2) What can we say about conditions whichensure that an unstable system can be stabilized by adding a gyroscopicterm Gdx/dt? 3) What is, in this case, a suitable or optimal matrixG? The questions are answered in the frame of a first order perturbationapproach.",

author = "Wolfhard Kliem and M{\"u}ller, {Peter C.}",

year = "1996",

language = "English",

note = "GAMM Wissentschafliche Jahrestagung ; Conference date: 01-01-1996",

}

TY - RPRT

T1 - Gyroscopic Stabilization of Indefinite Damped Systems

AU - Kliem, Wolfhard

AU - Müller, Peter C.

PY - 1996

Y1 - 1996

N2 - The paper deals with linear systems of differential equationswith symmetric system matrices M,D, and K.The mass matrix M and the stiffness matrix K are both assumed to bepositive definite. The damping matrix D is indefinite. Three questionsare of interest: 1) When is the system unstable? Apparently not always,if the matrix D is indefinite. 2) What can we say about conditions whichensure that an unstable system can be stabilized by adding a gyroscopicterm Gdx/dt? 3) What is, in this case, a suitable or optimal matrixG? The questions are answered in the frame of a first order perturbationapproach.

AB - The paper deals with linear systems of differential equationswith symmetric system matrices M,D, and K.The mass matrix M and the stiffness matrix K are both assumed to bepositive definite. The damping matrix D is indefinite. Three questionsare of interest: 1) When is the system unstable? Apparently not always,if the matrix D is indefinite. 2) What can we say about conditions whichensure that an unstable system can be stabilized by adding a gyroscopicterm Gdx/dt? 3) What is, in this case, a suitable or optimal matrixG? The questions are answered in the frame of a first order perturbationapproach.

M3 - Report

BT - Gyroscopic Stabilization of Indefinite Damped Systems

T2 - GAMM Wissentschafliche Jahrestagung

Y2 - 1 January 1996

ER -