The vibration suppression of structures using a semi-active mass damper is investigated in this study. A magnetorheological (MR)-damper is utilized to design the semi-actively controlled mass damper. The inverse MR-damper model is developed on the basis of an improved LuGre friction model, and combined with a designed /Linear-Quadratic-Gaussian (/LQG) controller, in order to control the command current of the MR-damper to suppress structural vibration levels effectively. Illustrated examples are considered to investigate the vibration suppression effectiveness of a semi-active mass damper with a MR-damper, using the developed control methodology. The simulation results were compared with those reported in literature in order to validate the presented methodology.
1.
Frahm
, H.
, 1911, “Device for Damping Vibration of Bodies
,” U.S. Patent No. 989-958.2.
Den Hartog
, J. P.
, 1956, Mechanical Vibrations
, 4th ed., McGraw-Hill
, New York
.3.
Nishimura
, I.
, Kobori
, T.
, Sakamoto
, M.
, Koshika
, N.
, Sasaki
, K.
, and Ohrui
, S.
, 1992, “Active Tuned Mass Damper
,” Smart Mater. Struct.
0964-1726, 1
(4
), pp. 306
–311
.4.
Nishimura
, I.
, Yamada
, T.
, Sakamoto
, M.
, and Kobori
, T.
, 1998, “Control Performance of Active-Passive Composite Tuned Mass Damper
,” Smart Mater. Struct.
0964-1726, 7
(5
), pp. 637
–653
.5.
Chang
, C. C.
, and Yang
, H. T. Y.
, 1995, “Control of Buildings Using Active Tuned Mass Dampers
,” J. Eng. Mech.
0733-9399, 121
(3
), pp. 355
–366
.6.
Dyke
, S. J.
, 1996, “Acceleration Feedback Control Strategies for Active and Semi-Active Control Systems: Modeling, Algorithm Development, and Experimental Verification
,” Ph.D. thesis, University of Notre Dame, Notre Dame, IN.7.
Zhuang
, W.
, 1999, “Optimal Design Analysis of a Semi-Active Tuned Mass Hydraulic Damper for Structural Control
,” MS thesis, University of Oklahoma, Norman, OK.8.
Kobori
, T.
, Takahashi
, M.
, Nasu
, T.
, Niwa
, N.
, and Ogasawara
, K.
, 1993, “Seismic Response Controlled Structure With Active Variable Stiffness System
,” Earthquake Eng. Struct. Dyn.
0098-8847, 22
(11
), pp. 925
–941
.9.
Hochrainer
, M. J.
, 2005, “Tuned Liquid Column Damper for Structural Control
,” Acta Mech.
0001-5970, 175
, pp. 57
–76
.10.
Bitman
, L.
, Choi
, Y. T.
, and Wereley
, N. M.
, 2002, “Electrorheological Damper Analysis Using an Eyring Constitutive Relationship
,” J. Intell. Mater. Syst. Struct.
1045-389X, 13
, pp. 633
–639
.11.
Stanway
, R.
, Sproston
, J. L.
, and Stevens
, N. G.
, 1987, “Non-Linear Modeling of an Electro-Rheological Vibration Damper
,” J. Electrost.
0304-3886, 20
(2
), pp. 167
–184
.12.
Gamota
, D. R.
, and Filisko
, F. E.
, 1991, “Dynamic Mechanical Studies of Electrorheological Materials: Moderate Frequencies
,” J. Rheol.
0148-6055, 35
(3
), pp. 399
–425
.13.
Wereley
, N. M.
, Li
, P.
, and Kamath
, G. M.
, 1998, “Idealized Hysteresis Modeling of Electrorheological and Magnetorheological Dampers
,” J. Intell. Mater. Syst. Struct.
1045-389X, 9
(8
), pp. 642
–649
.14.
Spencer
, B. F.
, Jr., Dyke
, S. J.
, Sain
, M. K.
, and Carlson
, J. D.
, 1997, “Phenomenological Model for Magnetorheological Dampers
,” J. Eng. Mech.
0733-9399, 123
(3
), pp. 230
–238
.15.
Dyke
, S. J.
, Spencer
, B. F.
, Jr., Sain
, M. K.
, and Carlson
, J. D.
, 1996, “Modeling and Control of Magnetorheological Dampers for Seismic Response Reduction
,” Smart Mater. Struct.
0964-1726, 5
(5
), pp. 565
–575
.16.
Choi
, S. B.
, and Lee
, S. K.
, 2001, “A Hysteresis Model for the Field-Dependent Damping Force of a Magnetorheological Damper
,” J. Sound Vib.
0022-460X, 245
(2
), pp. 375
–383
.17.
Dominguez
, A.
, Sedaghati
, R.
, and Stiharu
, I.
, 2006, “A New Dynamic Hysteresis Model for Magnetorheological Dampers
,” Smart Mater. Struct.
0964-1726, 15
, pp. 1179
–1189
.18.
Wang
, E. R.
, Ma
, X. Q.
, Rakheja
, S.
, and Su
, C. Y.
, 2005, “Force Tracking Control of Vehicle Vibration With MR-Dampers
,” Proceedings of the 2005 IEEE International Symposium on Intelligent Control
, Limassol, Cyprus, pp. 995
–1000
.19.
Jimenez
, R.
, and Alvarez
, L.
, 2002, “Real Time Identification of Structures With Magnetorheological Dampers
,” Proceedings of the 41st IEEE Conference on Decision and Control
, Vol. 1
, pp. 1017
–1022
.20.
Jiménez
, R.
, and Álvarez-Icaza
, L.
, 2005, “LuGre Friction Model for a Magnetorheological Damper
,” Struct. Control Health Monit.
1545-2255, 12
, pp. 91
–116
.21.
Kim
, H. S.
, Roschke
, P. N.
, Lin
, P. Y.
, and Loh
, C. H.
, 2006, “Neuro-Fuzzy Model of Hybrid Semi-Active Base Isolation System With FPS Bearing and an MR Damper
,” Eng. Struct.
0141-0296, 28
(7
), pp. 947
–958
.23.
http://www.lord.comhttp://www.lord.com, Lord Company, North Carolina, USA.
24.
Rodriguez
, A.
, Iwata
, N.
, Ikhouane
, F.
, and Rodellar
, J.
, 2009, “Modeling Identification of a Large-Scale Magnetorheological Fluid Damper
,” Smart Mater. Struct.
0964-1726, 18
, pp. 015010
.25.
Yang
, G.
, Spencer
, B. F.
, Jr., Carlson
, J. D.
, and Sain
, M. K.
, 2002, “Large-Scale MR Fluid Dampers: Modeling and Dynamic Performance Considerations
,” Eng. Struct.
0141-0296, 24
, pp. 309
–323
.26.
Yang
, F.
, Sedaghati
, R.
, and Esmailzadeh
, E.
, 2009, “Development of LuGre Friction Model for Large-Scale Magneto-Rheological Fluid Dampers
,” J. Intell. Mater. Syst. Struct.
1045-389X, 20
, pp. 923
–937
.27.
Leitmann
, G.
, 1994, “Semiactive Control for Vibration Attenuation
,” J. Intell. Mater. Syst. Struct.
1045-389X, 5
, pp. 841
–846
.28.
McClamroch
, N. H.
, and Gavin
, H. P.
, 1995, “Closed Loop Structural Control Using Electrorheological Dampers
,” Proceedings of the American Control Conference
, Seattle, WA, June 21–23, pp. 4173
–4177
.29.
Zhang
, J.
, and Roschke
, P. N.
, 1999, “Active Control of a Tall Structure Excited by Wind
,” J. Wind Eng. Ind. Aerodyn.
0167-6105, 83
, pp. 209
–223
.30.
Chang
, C. C.
, and Zhou
, L.
, 2002, “Neural Network Emulation of Inverse Dynamics for a Magnetorheological Damper
,” J. Struct. Eng.
0733-9445, 128
(2
), pp. 231
–239
.31.
Tsang
, H. H.
, Su
, R. K. L.
, and Chandler
, A. M.
, 2006, “Simplified Inverse Dynamics Models for MR Fluid Dampers
,” Eng. Struct.
0141-0296, 28
, pp. 327
–341
.32.
Battaini
, M.
, Casciati
, F.
, and Faravelli
, L.
, 1998, “Fuzzy Control of Structural Vibration. An Active Mass System Driven by a Fuzzy Controller
,” Earthquake Eng. Struct. Dyn.
0098-8847, 27
, pp. 1267
–1276
.33.
Schurter
, K. C.
, and Roschke
, P. N.
, 2001, “Neuro-Fuzzy Control of Structures Using Acceleration Feedback
,” Smart Mater. Struct.
0964-1726, 10
, pp. 770
–779
.34.
Choi
, K. M.
, Cho
, S. W.
, Jung
, H. J.
, and Lee
, I. W.
, 2004, “Semi-Active Fuzzy Control for Seismic Response Reduction Using Magnetorheological Dampers
,” Earthquake Eng. Struct. Dyn.
0098-8847, 33
, pp. 723
–736
.35.
Liu
, Y.
, Gordaninejad
, F.
, Evrensel
, C. A.
, Hitchcock
, G.
, and Wang
, X.
, 2002, “Variable Structure System Based Fuzzy Logic Control of Bridge Vibration Using Fail-Safe Magneto-Rheological Fluid Dampers
,” Proceedings of the SPIE Conference on Smart Materials and Structures
, San Diego, CA.36.
Yoshioka
, H.
, Ramallo
, J. C.
, and Spencer
, B. F.
, Jr., 2002, ““Smart” Base Isolation Strategies Employing Magnetorheological Dampers
,” J. Eng. Mech.
0733-9399, 128
(5
), pp. 540
–551
.37.
Yoshida
, O.
, and Dyke
, S. J.
, 2004, “Seismic Control of a Nonlinear Benchmark Building Using Smart Dampers
,” J. Eng. Mech.
0733-9399, 130
(4
), pp. 386
–392
.38.
Doyle
, J. C.
, Glover
, K.
, Khargonekar
, P. P.
, and Francis
, B. A.
, 1989, “State-Space Solutions to Standard H2 and H∞ Control Problems
,” IEEE Trans. Autom. Control
0018-9286, 34
(8
), pp. 831
–847
.39.
Zhou
, K.
, and Khargonekar
, P. P.
, 1988, “An Algebraic Riccati Equation Approach to H∞ Optimization
,” Syst. Control Lett.
0167-6911, 11
(2
), pp. 85
–91
.40.
Zhou
, K.
, Doyle
, J. C.
, and Glover
, K.
, 1996, Robust and Optimal Control
, Prentice-Hall
, Englewood Cliffs, NJ
.41.
Chiang
, R. Y.
, and Safonov
, M. G.
, Robust-control toolbox, The Mathworks.42.
Spencer
, B. F.
, Jr., Suhardjo
, J.
, and Sain
, M. K.
, 1994, “Frequency Domain Optimal Control Strategies for Aseismic Protection
,” J. Eng. Mech.
0733-9399, 120
(1
), pp. 135
–158
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