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Research Papers

Bridge Deck Flutter Control Using Winglets and Static Output Feedback

[+] Author and Article Information
K. K. Bera

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

N. K. Chandiramani

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

1Corresponding author.

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT,AND CONTROL. Manuscript received February 11, 2017; final manuscript received January 13, 2018; published online March 13, 2018. Assoc. Editor: Dumitru I. Caruntu.

J. Dyn. Sys., Meas., Control 140(8), 081008 (Mar 13, 2018) (13 pages) Paper No: DS-17-1079; doi: 10.1115/1.4039190 History: Received February 11, 2017; Revised January 13, 2018

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 (FDs) obtained from Theodorsen functions. Rogers rational function approximation (RFA) 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 (VGOF) control using servomotor driven winglets is very effective. It provides the maximum increase in critical speed and maximum attenuation of response, 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.

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References

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Figures

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Fig. 1

Schematic view of cross section of a deck with rotatable winglets

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Fig. 2

RFA of deck FDs (with lag optimization)

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Fig. 3

RFA of winglet FDs (without lag optimization)

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Fig. 4

Block diagram of the direct current motor control system [25]

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Fig. 5

Step responses for six different combinations of servomotor gains

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Fig. 6

Responses below flutter, at flutter, and above flutter speed

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Fig. 7

CGOF controlled response, ideal actuator, case-I (Fq=0.0001,  Fr=1500)

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Fig. 8

CGOF controlled response, ideal actuator, case-II (Fq=0.001,  Fr=1000)

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Fig. 13

VGOF controlled response, ideal actuator, case-II

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Fig. 9

Fitting of gain components for case-I and case-II, ideal actuator

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Fig. 10

GSOF controlled response, ideal actuator, case-I

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Fig. 11

GSOF controlled response, ideal actuator, case-II

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Fig. 12

VGOF controlled response, ideal actuator, case-I

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Fig. 14

Comparison of controllers, RMS responses, ideal actuator

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Fig. 15

Comparison of control using ideal actuator versus servomotor

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Fig. 16

Comparison of power required using servomotor

Tables

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