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Note on the Stability of a Slowly Rotating Timoshenko Beam with Damping

Note on the Stability of a Slowly Rotating Timoshenko Beam with Damping
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Year:    2015

Author:    J. Woźniak, M. Firkowski

Advances in Applied Mathematics and Mechanics, Vol. 7 (2015), Iss. 6 : pp. 736–753

Abstract

This paper continues the senior author's previous investigation of the slowly rotating Timoshenko beam in a horizontal plane whose movement is controlled by the angular acceleration of the disk of the driving motor into which the beam is rigidly clamped. It was shown before that this system preserves the total energy. We consider the problem of stability of the system after introducing a particular type of damping. We show that the energy of only part of the system vanishes. We illustrate obtained solution with the critical case of the infinite value of the damping coefficient.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/aamm.2014.m634

Advances in Applied Mathematics and Mechanics, Vol. 7 (2015), Iss. 6 : pp. 736–753

Published online:    2015-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    18

Keywords:   

Author Details

J. Woźniak

M. Firkowski

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