Abstract
The theoretical study of a semi-active predictive control (SAPC) system with magnetorheological (MR) dampers to reduce the responses of seismically excited structures was presented. The SAPC scheme is based on a prediction model of the system response to obtain the control actions by minimizing an object function, which has a function of self-compensation for time delay occurring in real application. A double-ended shear mode combined with a valve mode MR damper, named MRF-04K damper, with the maximum force of 20 kN was designed and manufactured, and parameters of the Bouc-Wen hysteresis model were determined to portray the behavior of this damper. As an example, a 5-story building frame equipped with 2 MRF-04K dampers was presented to demonstrate the performance of the proposed SAPC scheme for addressing time delay and reducing the structural responses under different earthquakes. Comparison with the uncontrolled structure, the passive-off and passive-on cases indicates that both the peak and the norm values of structural responses are all clearly reduced, and the SAPC scheme has a better performance than the two passive cases.
Similar content being viewed by others
References
Jr SPENCER B F, CARLSON J D, SAIN M K, YANG G. On the current status of magnetorheological dampers: Seismic protection of full-scale structures [C]// Proceedings of American Control Conference. Albuquerque, New Mexico, 1997: 458–462.
DYKE S J, Jr SPENCER B F, SAIN M K, CARLSON J D. Seismic response reduction using magnetorheological dampers [C]// Proceedings of IFAC World Congress, San Francisco, CA, 1996.
CARLSON J D, Jr SPENCER B F. Magneto-rheological fluid dampers for semi-active seismic control [C]// Proceedings of 3rd International Conference on Motion and Vibration Control. Chiba, Japan, 1996: 35–40.
CARLSON J D, Jr SPENCER B F. Magnetorheological fluid dampers: Scalability and design issues for application to dynamic hazard mitigation [C]// Proceedings of 2nd International Workshop on Structural Control. Hong Kong, 1996: 99–109.
HIEMENZ G J, CHOI Y T, WERELEY N M. Seismic control of civil structures utilizing semi-active MR braces [J]. Comput-aided CIV INF, 2003, 18(1): 31–44.
LI Zhong-xian, XU Long-he. Performance tests and hysteresis model of MRF-04K damper [J]. Journal of Structural Engineering, ASCE, 2005, 131(8): 1303–1306.
Jr SPENCER B F, DYKE S J, SAIN M K, CARLSON J D. Phenomenological model for magnetorheological dampers [J]. Journal of Structural Engineering, ASCE, 1997, 123(3): 230–238.
YANG G, Jr SPENCER B F, JUNG H J, CARLSON J D. Dynamic modeling of large-scale magnetorheological damper systems for civil engineering applications [J]. Journal of Engineering Mechanics, ASCE, 2004, 139(9): 1107–1114.
JANSEN L M, DYKE S J. Semi-active control strategies for MR dampers: Comparative study [J]. Journal of Engineering Mechanics, ASCE, 2000, 126(8): 795–803.
YANG J N, AKBARPOUR A, ASKAR G. Effect of time delay on control of seismic-excited buildings [J]. Journal of Structural Engineering, ASCE, 1990, 116(10): 2801–2814.
AGRAWAL A K, YANG J N. Compensation of time-delay for control of civil engineering structures [J]. Earthquake Engineering and Structural Dynamics, 2000, 29: 37–62.
CHU S Y, SOONG T T, LIN C C, CHEN Y Z. Time-delay effect and compensation on direct output feedback controlled mass damper systems [J]. Earthquake Engineering and Structural Dynamics, 2002, 31(1): 121–137.
AGRAWAL A K, YANG J N. Effect of fixed time-delay on stability and performance of actively controlled civil engineering structures [J]. Earthquake Engineering and Structural Dynamics, 1997, 26(11): 1169–1185.
INAUDI J A, KELLY J M. A robust delay-compensation technique based on memory [J]. Earthquake Engineering and Structural Dynamics, 1994, 23(9): 987–1001.
CAI G P, HUANG J Z. Optimal control method for seismically excited building structures with time-delay in control [J]. Journal of Engineering Mechanics, ASCE, 2002, 128(6): 602–612.
KEVIN K F WONG. Predictive optimal linear control of elastic structures during earthquake. Part I [J]. Journal of Engineering Mechanics, ASCE, 2005, 131(2): 131–141.
KEVIN K F WONG. Predictive optimal linear control of inelastic structures during earthquake. Part II [J]. Journal of Engineering Mechanics, ASCE, 2005, 131(2): 142–152.
XU Long-he, LI Zhong-xian. Semi-active multi-step predictive control of structures using MR dampers [J]. Earthquake Engineering and Structural Dynamics, 2008, 37: 1435–1448.
OHTORI Y, CHRISTENSON R E, SPENCER Jr B F, DYKE S J. Benchmark control problems for seismically excited nonlinear buildings [J]. Journal of Engineering Mechanics, ASCE, 2004, 130(4): 366–385.
Author information
Authors and Affiliations
Corresponding author
Additional information
Foundation item: Projects(90815025, 51178034) supported by the National Natural Science Foundation of China
Rights and permissions
About this article
Cite this article
Xu, Lh., Li, Zx. Semi-active predictive control strategy for seismically excited structures using MRF-04K dampers. J. Cent. South Univ. 19, 2496–2501 (2012). https://doi.org/10.1007/s11771-012-1302-0
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11771-012-1302-0