Hagedorn, P. ; Heffel, Eduard ; Lancaster, P. ; Müller, P. C. ; Kapuria, S. (2013)
Some Recent Results on MDGKN-Systems.
In: Zeitschrift für Angewandte Mathematik und Mechanik - ZAMM
doi: 10.1002/zamm.201300270
Artikel, Bibliographie

Kurzbeschreibung (Abstract)

The linearized equations of motion of finite dimensional autonomous mechanical systems are normally written as a second order system and are of the MDGKN type, where the different n × n matrices have certain characteristic properties. These matrix properties have consequences for the underlying eigenvalue problem. Engineers have developed a good intuitive understanding of such systems, particularly for systems without gyroscopic terms (G-matrix) and circulatory terms (N-matrix, which may lead to self-excited vibrations). A number of important engineering problems in the linearized form are described by this type of equations. It has been known for a long time, that damping (D-matrix) in such systems may either stabilize or destabilize the system depending on the structure of the matrices. Here we present some new results (using a variety of methods of proof) on the influence of the damping terms, which are quite general. Starting from a number of conjectures, they were jointly developed by the authors during recent months.

Typ des Eintrags:	Artikel
Erschienen:	2013
Autor(en):	Hagedorn, P. ; Heffel, Eduard ; Lancaster, P. ; Müller, P. C. ; Kapuria, S.
Art des Eintrags:	Bibliographie
Titel:	Some Recent Results on MDGKN-Systems
Sprache:	Englisch
Publikationsjahr:	2013
Verlag:	WILEY-VCH
Titel der Zeitschrift, Zeitung oder Schriftenreihe:	Zeitschrift für Angewandte Mathematik und Mechanik - ZAMM
DOI:	10.1002/zamm.201300270
Kurzbeschreibung (Abstract):	The linearized equations of motion of finite dimensional autonomous mechanical systems are normally written as a second order system and are of the MDGKN type, where the different n × n matrices have certain characteristic properties. These matrix properties have consequences for the underlying eigenvalue problem. Engineers have developed a good intuitive understanding of such systems, particularly for systems without gyroscopic terms (G-matrix) and circulatory terms (N-matrix, which may lead to self-excited vibrations). A number of important engineering problems in the linearized form are described by this type of equations. It has been known for a long time, that damping (D-matrix) in such systems may either stabilize or destabilize the system depending on the structure of the matrices. Here we present some new results (using a variety of methods of proof) on the influence of the damping terms, which are quite general. Starting from a number of conjectures, they were jointly developed by the authors during recent months.
Fachbereich(e)/-gebiet(e):	16 Fachbereich Maschinenbau 16 Fachbereich Maschinenbau > Dynamik und Schwingungen Exzellenzinitiative Exzellenzinitiative > Graduiertenschulen Exzellenzinitiative > Graduiertenschulen > Graduate School of Computational Engineering (CE) Zentrale Einrichtungen
Hinterlegungsdatum:	02 Jun 2014 13:53
Letzte Änderung:	03 Jun 2018 21:25
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