The operable frequency range of the delayed resonators (DR) is known to be narrow due to stability issues. This study presents a novel approach for DR design with a combined feedback strategy that consists of a delayed velocity and nondelayed position feedback to extend the operable frequency range of the DR method. The nondelayed position feedback is used to alter the natural frequency of the DR artificially while delayed velocity feedback is employed to tune the frequency of DR matching with the undesired vibrations. The proposed method also introduces an optimization parameter that provides freedom for the designer to obtain fast vibration suppression while improving the stability range of the DR. An optimization approach is also provided within the scope of this study. Theoretical findings are verified over an experiment utilizing the active suspension system of the Quanser Company.
Issue Section:
Research Papers
References
1.
Olgac
, N.
, and Holm-Hansen
, B. T.
, 1994
, “A Novel Active Vibration Absorption Technique: Delayed Resonator
,” J. Sound Vib.
, 176
(1
), pp. 93
–104
.2.
Olgac
, N.
, and Hosek
, M.
, 1997
, “Active Vibration Absorption Using Delayed Resonator With Relative Position Measurement
,” ASME J. Vib. Acoust.
, 119
(1
), pp. 131
–136
.3.
Olgaç
, N.
, Elmali
, H.
, Hosek
, M.
, and Renzulli
, M.
, 1997
, “Active Vibration Control of Distributed Systems Using Delayed Resonator With Acceleration Feedback
,” ASME J. Dyn. Syst. Meas. Control
, 119
(3
), pp. 380
–389
.4.
Vyhlidal
, T.
, Olgac
, N.
, and Kucera
, V.
, 2014
, “Delayed Resonator With Acceleration Feedback–Complete Stability Analysis by Spectral Methods and Vibration Absorber Design
,” J. Sound Vib.
, 333
(25
), pp. 6781
–6795
.5.
Pilbauer
, D.
, Vyhlidal
, T.
, and Olgac
, N.
, 2016
, “Delayed Resonator With Distributed Delay in Acceleration Feedback—Design and Experimental Verification
,” IEEE/ASME Trans. Mechatronics
, 21
(4
), pp. 2120
–2131
.6.
Eris
, O.
, Ergenc
, A. F.
, and Kurtulan
, S.
, 2015
, “A Modified Delayed Resonator for Active Suspension Systems of Railway Vehicles
,” IFAC-PapersOnLine
, 48
(12
), pp. 281
–285
.7.
Olgac
, N.
, and Holm-Hansen
, B. T.
, 1995
, “Design Considerations for Delayed-Resonator Vibration Absorbers
,” J. Eng. Mech.
, 121
(1
), pp. 80
–89
.8.
Olgac
, N.
, Elmali
, H.
, and Vijayan
, S.
, 1996
, “Introduction to the Dual Frequency Fixed Delayed Resonator
,” J. Sound Vib.
, 189
(3
), pp. 355
–367
.9.
Olgac
, N.
, 1996
, “Single Mass Dual Frequency Fixed Delayed Resonator,” The University of Connecticut, Storrs, CT, U.S. Patent No. 5, 505, 282
.10.
Renzulli
, M.
, Roy
, R. G.
, and Olgac
, N.
, 1999
, “Robust Control of the Delayed Resonator Vibration Absorber
,” IEEE Trans. Control Syst. Technol.
, 7
(6
), pp. 683
–691
.11.
Jalili
, N.
, and Olgac
, N.
, 2000
, “Identification and Retuning of Optimum Delayed Feedback Vibration Absorber
,” J. Guidel. Control Dyn.
, 23
(6
), pp. 961
–970
.12.
Hosek
, M.
, and Olgac
, N.
, 2002
, “A Single-Step Automatic Tuning Algorithm for the Delayed Resonator Vibration Absorber
,” IEEE/ASME Trans. Mechatronics
, 7
(2
), pp. 245
–255
.13.
Olgac
, N.
, and Jalili
, N.
, 1999
, “Multiple Delayed Resonator Vibration Absorbers for Multi-Degree-of-Freedom Mechanical Structures
,” J. Sound Vib.
, 223
(4
), pp. 567
–585
.14.
Filipovic
, D.
, and Olgac
, N.
, 2002
, “Delayed Resonator With Speed Feedback–Design and Performance Analysis
,” Mechatronics
, 12
(3
), pp. 393
–413
.15.
Hosek
, M.
, Elmali
, H.
, and Olgac
, N.
, 1997
, “A Tunable Torsional Vibration Absorber: The Centrifugal Delayed Resonator
,” J. Sound Vib.
, 205
(2
), pp. 151
–165
.16.
Kammer
, A. S.
, and Olgac
, N.
, 2016
, “Delayed-Feedback Vibration Absorbers to Enhance Energy Harvesting
,” J. Sound Vib.
, 363
, pp. 54
–67
.17.
Tootoonchi
, A. A.
, and Gholami
, M. S.
, 2011
, “Application of Time Delay Resonator to Machine Tools
,” Int. J. Adv. Manuf. Technol.
, 56
(9–12
), pp. 54
–67
.18.
Eris
, O.
, Ergenc
, A. F.
, and Kurtulan
, S.
, 2014
, “Use of Non-Identical Multiple Delayed Resonators in Active Suspension Systems of Railway Vehicles
,” IEEE International Conference on Control System, Computing and Engineering
(ICCSCE
), Batu Ferringhi, Malaysia, Nov. 28–30, pp. 588
–591
.19.
Eris
, O.
, and Ergenc
, A. F.
, 2016
, “Delay Scheduling for Delayed Resonator Applications
,” IFAC-PapersOnLine
, 49
(10
), pp. 77
–81
.20.
Breda
, D.
, Maset
, S.
, and Vermiglio
, R.
, 2014
, Stability of Linear Delay Differential Equations: A Numerical Approach With MATLAB
, Springer
, New York
.21.
Vyhlidal
, T.
, and Zitek
, P.
, 2009
, “Mapping Based Algorithm for Large-Scale Computation of Quasi-Polynomial Zeros
,” IEEE Trans. Autom. Control
, 54
(1
), pp. 171
–177
.22.
Rivaz
, H.
, and Rohling
, R.
, 2007
, “An Active Dynamic Vibration Absorber for a Hand-Held Vibro-Elastography Probe
,” ASME J. Vib. Acoust.
, 129
(1
), pp. 101
–112
.23.
Wu
, Z.
, and Michiels
, W.
, 2012
, “Reliably Computing All Characteristic Roots of Delay Differential Equations in a Given Right Half Plane Using a Spectral Method
,” J. Comput. Appl. Math.
, 236
(9
), pp. 2499
–2514
.24.
Olgac
, N.
, and Sipahi
, R.
, 2002
, “An Exact Method for the Stability Analysis of Time-Delayed Linear Time-Invariant (LTI) Systems
,” IEEE Trans. Autom. Control
, 47
(5
), pp. 793
–797
.25.
Rekasius
, Z. V.
, 1980
, “A Stability Test for Systems With Delays
,” Joint Automatic Control Conference
, San Francisco, CA, Aug. 13–15, Paper No. TP9-A.Copyright © 2018 by ASME
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