Investigating the performance of a time delayed proportional–derivative controller for rotating blade vibrations

Proportional–derivative (PD) controller is applied in this work to study the effects of time delay on its performance for reducing the oscillations of a rotating beam at varying speed. The dual-system vibrational modes are linearly coupled so we have applied the controller to only one mode and the o...

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Bibliographic Details
Published in:Nonlinear dynamics 2018-03, Vol.91 (4), p.2631-2649
Main Authors: Kandil, Ali, El-Gohary, Hany
Format: Article
Language:English
Subjects:
Automotive Engineering
Classical Mechanics
Control
Controllers
Coupled modes
Dynamical Systems
Engineering
Mechanical Engineering
Nonlinear control
Original Paper
Rotation
Studies
Time lag
Vibration
Vibration analysis
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Summary:Proportional–derivative (PD) controller is applied in this work to study the effects of time delay on its performance for reducing the oscillations of a rotating beam at varying speed. The dual-system vibrational modes are linearly coupled so we have applied the controller to only one mode and the other coupled mode tracks it. The worst resonance cases—verified numerically—in this paper are the primary and the principal parametric resonance cases that should be controlled. The overall nonlinear behavior of the system with and without control is investigated through the remarkable multiple time scales method. Different response curves are involved to investigate controller effect.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-017-4036-6