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

Preview Full PDF 11 489
Export citation
  • 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.

  • Keywords

  • AMS Subject Headings

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • References
  • Hide All
    View All

@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} }
Copy to clipboard
The citation has been copied to your clipboard