Iranian Journal of Mechanical Engineering Transactions of ISME

Iranian Journal of Mechanical Engineering Transactions of ISME

Vibration Suppression of a Fluid-Structure via Boundary Control Method

Authors
Mahdi Khakpour
Ali Najafi Ardekany 1
Afshin Zeinaddini 2
1 Faculty of Mechanical Engineering, K. N. Toosi University of Technology
2 K. N. Toosi Univ.
10.30506/ijmep.2021.135250.1723
Abstract
In this article, the vibrations suppression of Timoshenko beam with or without fluid loading has been studied. Firstly, free vibrations of the beam without fluid loading and under fluid loading was studied and then by utilizing of control actuators, beam vibrations with or without fluid loading was dissipated. Stabilization proof has been accomplished by use of Lyapunov control concept and adopting Lyapunov functional, for both cases. In this research, the coupled governing equation of the beam and the fluid has been presented and by utilizing boundary control actuators and using boundary actuators just in the beam boundary, the beam vibrations and fluid motion was stabilized simultaneously. Afterwards, ABAQUS commercial software was used to verify the numerical results. It was been clear the beam vibrations in the presence of the fluid have the lower frequencies due to augmented mass of the fluid and therefore, the vibrations dissipation of the beam will be slower that the dry beam.
Keywords
Free Vibrations
Timoshenko Beam
Stabilization
Control Operator
Lyapunov Functional

Subjects

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  • Receive Date 22 August 2020
  • Revise Date 23 October 2020
  • Accept Date 03 March 2021