Publisher： Cambridge University Press
E-ISSN： 2075-1354|7|6|736-753
ISSN： 2070-0733
Source： Advances in Applied Mathematics and Mechanics, Vol.7, Iss.6, 2015-09, pp. : 736-753
Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.
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.
Related content
Controllability of a slowly rotating Timoshenko beam
By Gugat Martin
ESAIM: Control, Optimisation and Calculus of Variations, Vol. 6, Iss. issue, 2010-03 ,pp. :
Access to resources
Recommend
Stabilization of a viscoelastic Timoshenko beam
Applicable Analysis, Vol. 92, Iss. 1, 2013-01 ,pp. :