Journal article
Matrix analysis of some linear gyroscopic systems
Journal of the Franklin Institute, v 329(4), pp 679-695
1992
Abstract
Explicit solutions for some gyroscopic linear dynamical systems are obtained by selecting a change of the dependent vector variable, which eliminates the velocity term in the transformed equation of motion. The transformation corresponds to the vector counterpart of the technique used for the reduction of order in ordinary scalar differential equations. The matrix coefficients of the equations considered obey a certain commutativity condition, which can be expressed in terms of the vanishing of their Lie product or commutator. For purely gyroscopic systems, the results obtained are compared to a generalization of a method originally proposed by Gantmacher.
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1 citations in Scopus
Details
- Title
- Matrix analysis of some linear gyroscopic systems
- Creators
- Leon Y. Bahar - Drexel UniversityHarry G. Kwatny - Drexel University
- Publication Details
- Journal of the Franklin Institute, v 329(4), pp 679-695
- Publisher
- Elsevier
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- [Retired Faculty]; Mechanical Engineering and Mechanics
- Web of Science ID
- WOS:A1992JE85900005
- Scopus ID
- 2-s2.0-44049118840
- Other Identifier
- 991019173789704721
InCites Highlights
Data related to this publication, from InCites Benchmarking & Analytics tool:
- Web of Science research areas
- Automation & Control Systems
- Engineering, Electrical & Electronic
- Engineering, Multidisciplinary
- Mathematics, Interdisciplinary Applications