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Calculation of the Quasi-Linear System Matrix for Eigenvalue and Stability Analysis of Nonlinear Dynamic Systems

Somieski, G. (2003) Calculation of the Quasi-Linear System Matrix for Eigenvalue and Stability Analysis of Nonlinear Dynamic Systems. In: DGLR-Kongreß 2003, Jahrbuch, DGLR-2003-123. DGLR Jahrestagung, 2003.

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Abstract

The method of quasi-linearization of nonlinear dynamic systems or nonlinear control systems is well known in the analysis of periodic bounded oscillations – so-called limit cycles. At this, nonlinearities are approximated by the first term of a Fourier series, which are amplitude dependent describing functions for sinusoidal input, yielding a quasi-linear description. The eigenvalues of this quasi-linear system can be investigated to find all limit cycles by means of stability checking. In the presence of dynamic nonlinearities (e.g. hysteresis), the calculation of the quasi-linear system matrix is not quite simple. Concerning applicability and numerical efficiency, several ways are displayed and discussed. They are exemplified with shimmy osciallations of a basic aircraft nose gear model, where one dynamic and three different static nonlinearities are considered.

Item URL in elib:https://elib.dlr.de/14479/
Document Type:Conference or Workshop Item (Paper)
Additional Information: LIDO-Berichtsjahr=2004,
Title:Calculation of the Quasi-Linear System Matrix for Eigenvalue and Stability Analysis of Nonlinear Dynamic Systems
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Somieski, G.UNSPECIFIEDUNSPECIFIED
Date:2003
Journal or Publication Title:DGLR-Kongreß 2003, Jahrbuch
Open Access:No
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:No
Volume:DGLR-2003-123
Editors:
EditorsEmail
DGLR, UNSPECIFIED
Status:Published
Event Title:DGLR Jahrestagung, 2003
Organizer:DGLR
HGF - Research field:Aeronautics, Space and Transport (old)
HGF - Program:Aeronautics
HGF - Program Themes:other
DLR - Research area:Aeronautics
DLR - Program:L ST - Starrflüglertechnologien
DLR - Research theme (Project):UNSPECIFIED
Location: Göttingen
Institutes and Institutions:Institute of Aeroelasticity
Deposited By: Klauer, Monika
Deposited On:16 Sep 2005
Last Modified:14 Jan 2010 21:54

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