Some recent results on MDGKN-systems

Hagedorn, P. ; Heffel, E. ; Lancaster, P. ; Muller, P. C. ; Kapuria, S. (2015) Some recent results on MDGKN-systems ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 95 (7). pp. 695-702. ISSN 0044-2267

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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
Source:Copyright of this article belongs to John Wiley & Sons, Inc.
ID Code:108897
Deposited On:31 Jan 2018 10:45
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