Volume 7, Issue 6
Note on the Stability of a Slowly Rotating Timoshenko Beam with Damping

J. Wozniak & M. Firkowski

Adv. Appl. Math. Mech., 7 (2015), pp. 736-753.

Published online: 2018-05

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  • 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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@Article{AAMM-7-736, author = {J. Wozniak and M. Firkowski}, title = {Note on the Stability of a Slowly Rotating Timoshenko Beam with Damping}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2018}, volume = {7}, number = {6}, pages = {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.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.2014.m634}, url = {http://global-sci.org/intro/article_detail/aamm/12237.html} }
TY - JOUR T1 - Note on the Stability of a Slowly Rotating Timoshenko Beam with Damping AU - J. Wozniak & M. Firkowski JO - Advances in Applied Mathematics and Mechanics VL - 6 SP - 736 EP - 753 PY - 2018 DA - 2018/05 SN - 7 DO - http://doi.org/10.4208/aamm.2014.m634 UR - https://global-sci.org/intro/article_detail/aamm/12237.html KW - AB -

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.

J. Wozniak & M. Firkowski. (1970). Note on the Stability of a Slowly Rotating Timoshenko Beam with Damping. Advances in Applied Mathematics and Mechanics. 7 (6). 736-753. doi:10.4208/aamm.2014.m634
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