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Bridge Deck Flutter Control using Winglets and Static Output Feedback

[+] Author and Article Information
Kamal K. Bera

Department of Civil Engineering, Indian Institute of Technology Bombay, Mumbai 400076, India
kkbera@iitb.ac.in

Naresh K. Chandiramani

Department of Civil Engineering, Indian Institute of Technology Bombay, Mumbai 400076, India
naresh@civil.iitb.ac.in

1Corresponding author.

ASME doi:10.1115/1.4039190 History: Received February 11, 2017; Revised January 13, 2018

Abstract

Control of wind induced flutter of a bridge deck is studied using static output feedback. Servomotor actuated winglets provide the control forces. Deck and winglets are modeled as flat plates and their aerodynamic interaction is neglected. Self excited wind forces acting on deck and winglets are modeled using the Scanlan-Tomko model, with flat plate flutter derivatives obtained from Theodorsen functions. Rogers rational function approximation is used for time domain representation of wind forces in order to simplify the stability and control analyses. Control input to servomotors is based on direct feedback of vertical and torsional displacements of deck. Feedback gains that are constant, or varying with wind speed, are considered. Winglet rotations being restricted, flutter and divergence behavior is studied using system eigenvalues as well as responses. Results show that variable gain output feedback control using servomotor driven winglets is very effective. It provides the maximum increase in critical speed and also response attenuation, followed by control with gain scheduling, with the former requiring less input power. Control with constant gain is least effective. Control of deck rotation generally appears to improve with wind speed.

Copyright (c) 2018 by ASME
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