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
Article, Bibliographie

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.

Item Type:	Article
Erschienen:	2013
Creators:	Hagedorn, P. ; Heffel, Eduard ; Lancaster, P. ; Müller, P. C. ; Kapuria, S.
Type of entry:	Bibliographie
Title:	Some Recent Results on MDGKN-Systems
Language:	English
Date:	2013
Publisher:	WILEY-VCH
Journal or Publication Title:	Zeitschrift für Angewandte Mathematik und Mechanik - ZAMM
DOI:	10.1002/zamm.201300270
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.
Divisions:	16 Department of Mechanical Engineering 16 Department of Mechanical Engineering > Dynamics and Vibrations Exzellenzinitiative Exzellenzinitiative > Graduate Schools Exzellenzinitiative > Graduate Schools > Graduate School of Computational Engineering (CE) Zentrale Einrichtungen
Date Deposited:	02 Jun 2014 13:53
Last Modified:	03 Jun 2018 21:25
PPN:
Export:	T2T_XMLAtomJSONMultiline CSVEndNoteMODSSimple MetadataBibTeXASCII CitationEP3 XMLIBW_RDARDF+XMLDublin CoreHTML Citation
Suche nach Titel in:	TUfind oder in Google

Available Versions of this Item

• Some Recent Results on MDGKN-Systems. (deposited 02 Jun 2014 13:53) [Currently Displayed]

Send an inquiry

Options (only for editors)

Show editorial Details