Back to Search
Start Over
Some recent results on MDGKN-systems.
- Source :
- ZAMM -- Journal of Applied Mathematics & Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik; Jul2015, Vol. 95 Issue 7, p695-702, 8p
- Publication Year :
- 2015
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00442267
- Volume :
- 95
- Issue :
- 7
- Database :
- Complementary Index
- Journal :
- ZAMM -- Journal of Applied Mathematics & Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
- Publication Type :
- Academic Journal
- Accession number :
- 103670012
- Full Text :
- https://doi.org/10.1002/zamm.201300270