Overdamping in gyroscopic systems composed of high-loss and lossless components | Vidéo | Carmin.tv

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Overdamping in gyroscopic systems composed of high-loss and lossless components

By Alexander Figotin

Appears in collection : Spectral theory of novel materials / Théorie spectrales des nouveaux matériaux

Using a Lagrangian framework, we study overdamping phenomena in gyroscopic systems composed of two components, one of which is highly lossy and the other is lossless. The losses are accounted for by a Rayleigh dissipative function. We prove that selective overdamping is a generic phenomenon in Lagrangian systems with gyroscopic forces and give an analysis of the overdamping phenomena in such systems. Central to the analysis is the introduction of the notion of a dual Lagrangian system and this yields significant improvements on some results on modal dichotomy and overdamping.

Information about the video

Date of recording 21/04/2016
Date of publication 04/05/2016
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.18962403
Cite this video Figotin, Alexander (21/04/2016). Overdamping in gyroscopic systems composed of high-loss and lossless components. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.18962403
URL https://dx.doi.org/10.24350/CIRM.V.18962403

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Bibliography

Figotin, A., & Welters, A. (2016). On overdamping phenomena in gyroscopic systems composed of high-loss and lossless components. Journal of Mathematical Physics, 57(4), 042902 - http://dx.doi.org/10.1063/1.4944721

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