Skip to main content
SpringerLink
Log in

Trust-region based instantaneous optimal semi-active control of long-span spatially extended structures with MRF-04K damper

  • Published:
Earthquake Engineering and Engineering Vibration Aims and scope Submit manuscript

Abstract

In the field of civil engineering, magnetorheological fluid (MRF) damper-based semi-active control systems have received considerable attention for use in protecting structures from natural hazards such as strong earthquakes and high winds. In this paper, the MRF damper-based semi-active control system is applied to a long-span spatially extended structure and its feasibility is discussed. Meanwhile, a trust-region method based instantaneous optimal semi-active control algorithm (TIOC) is proposed to improve the performance of the semi-active control system in a multiple damper situation. The proposed TIOC describes the control process as a bounded constraint optimization problem, in which an optimal semiactive control force vector is solved by the trust-region method in every control step to minimize the structural responses. A numerical example of a railway station roof structure installed with MRF-04K dampers is presented. First, a modified Bouc-Wen model is utilized to describe the behavior of the selected MRF-04K damper. Then, two semi-active control systems, including the well-known clipped-optimal controller and the proposed TIOC controller, are considered. Based on the characteristics of the long-span spatially extended structure, the performance of the control system is evaluated under uniform earthquake excitation and travelling-wave excitation with different apparent velocities. The simulation results indicate that the MR fluid damper-based semi-active control systems have the potential to mitigate the responses of full-scale long-span spatially extended structures under earthquake hazards. The superiority of the proposed TIOC controller is demonstrated by comparing its control effectiveness with the clipped-optimal controller for several different cases.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

We’re sorry, something doesn't seem to be working properly.

Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.

References

  • Bhardwaj MK and Datta TK (2006), “Semiactive Fuzzy Control of the Seismic Response of Building Frames,” Journal of Structural Engineering, ASCE, 132(5): 791–799.

    Article  Google Scholar 

  • Branch MA, Coleman TF and Li YY (1999), “Subspace, Interior, and Conjugate Gradient Method for Large-scale Bound-constrained Minimization Problems,” SIAM Journal of Scientific Computing, 21(1): 1–23.

    Article  Google Scholar 

  • Chang CC and Roschke PN (1999), “Neural Network Modeling of a Magnetorheological Damper,” Journal of Intelligent Material Systems and Structures, 9(9): 755–764.

    Google Scholar 

  • Coleman TF and Li Y (1994), “On the Convergence of Reflective Newton Methods for Large-scale Nonlinear Minimization Subject to Bounds,” Mathematical Programming, 67(2): 189–224.

    Article  Google Scholar 

  • Duan YF, Ni YQ and Ko JM (2005), “State-derivative Feedback Control of Cable Vibration Using Semi-active Magnetorheological Dampers,” Computer-Aided Civil and Infrastructure Engineering, 20(6): 431–449.

    Article  Google Scholar 

  • Dyke SJ, Spencer Jr BF, Sain MK and Carlson JD (1996), “Modeling and Control of Magnetorheological Dampers for Seismic Response Reduction,” Smart Materials and Structures, 5(5): 565–575.

    Article  Google Scholar 

  • Dyke SJ, Yi F and Carlson JD (1999), “Seismic Hazard Mitigation Using Multiple Magnetorheological Devices,” Avent RR, Alawady M, Structural Engineering in the 21st century, Proceedings of the 1999 Structures Congress, Reston: American Society of Civil Engineers, pp. 361–364.

    Google Scholar 

  • Friswell MI, Garvey SD and Penny JET (1995), “Model Reduction Using Dynamic and Iterated IRS Techniques,” Journal of Sound and Vibration, 186(2): 311–323.

    Article  Google Scholar 

  • Giorgetti N, Bemporad A, Tseng HE and Hrovat D (2006), “Hybrid Model Predictive Control Application Towards Optimal Semi-active Suspension,” International Journal of Control, 79(5): 521–533.

    Article  Google Scholar 

  • Harichandran RS and Vanmarcke EH (1986), “Stochastic Variation of Earthquake Ground Motion in Space and Time,” Journal of Engineering Mechanics, ASCE, 112(2): 154–175.

    Article  Google Scholar 

  • Inaudi JA (1997), “Modulated Homogeneous Friction: A Semi-active Damping Strategy,” Earthquake Engineering & Structural Dynamics, 26(3): 361–376.

    Article  Google Scholar 

  • Kiureghian AD (1996), “Coherency Model for Spatially Varying Ground Motions,” Earthquake Engineering & Structural Dynamics, 25(1): 99–111.

    Article  Google Scholar 

  • Leitmann G (1994), “Semiactive Control for Vibration Attenuation,” Journal of Intelligent Material Systems and Structures, 5(6): 841–846.

    Article  Google Scholar 

  • Li ZX and Xu LH (2005), “Performance Tests and Hysteresis Model of MRF-04K Damper,” Journal of Structural Engineering, ASCE, 131(8): 1303–1306.

    Article  Google Scholar 

  • Loh CH and Yeh YT (1988), “Spatial Variation and Stochastic Modeling of Seismic Differential Ground Movement,” Earthquake Engineering & Structural Dynamics, 16(4): 583–596.

    Article  Google Scholar 

  • McClamroch NH and Gavin HP (1995), “Closed Loop Structural Control Using Electrorheological Dampers,” Proceedings of the American Control Conference, Vol. 6, pp. 4173–4177.

    Google Scholar 

  • Ni YQ, Chen Y, Ko JM and Cao DQ (2002), “Neurocontrol of Cable Vibration Using Semi-active Magnetorheological Dampers,” Engineering Structures, 24(3): 295–307.

    Article  Google Scholar 

  • Ohsaki M (2001), “Sensitivity of Optimum Designs for Spatially Varying Ground Motions,” Journal of Structural Engineering, ASCE, 127(11): 1324–1329.

    Article  Google Scholar 

  • Rodriguez JF, Renaud JE, Wujek BA and Tappeta RV (2000), “Trust Region Model Management in Multidisciplinary Design Optimization,” Journal of Computational and Applied Mathematics, 124(1–2): 139–154.

    Article  Google Scholar 

  • Schurter KC and Roschke PN (2000), “Fuzzy Modeling of a Magnetorheological Damper Using ANFIS,” Proceedings of the ninth IEEE International Conference on Fuzzy Systems, Vol.1, pp. 122–127.

    Article  Google Scholar 

  • Spencer Jr BF, Dyke SJ, Sain MK and Carlson JD (1997), “Phenomenological Model of a Magnetorheological Damper,” Journal of Engineering Mechanics, ASCE, 123(3): 230–238.

    Article  Google Scholar 

  • Spencer Jr BF, Yang G, Carlson JD and Sain MK (2002), “Large-scale MR Fluid Dampers: Modeling and Dynamic Performance Considerations,” Engineering Structures, 24(3): 309–323.

    Article  Google Scholar 

  • Tarantino J, Bruch Jr JC and Sloss JM (2004), “Instantaneous Optimal Control of Seismically-excited Structures Using a Maximum Principle,” Journal of Vibration and Control, 10(8): 1099–1121.

    Article  Google Scholar 

  • Terasawa T and Sano A (2005), “Fully Adaptive Vibration Control for Uncertain Structure Installed with MR Damper,” Proceedings of the 2005 American Control Conference, Vol.7, pp: 4753–4759.

    Article  Google Scholar 

  • Tseng HE and Hedrick JK (1994), Semi-active Control Laws: Optimal and Sub-optimal, Vehicle System Dynamics, 23(7): 545–569.

    Article  Google Scholar 

  • Wong KKF and Yang R (2003), “Predictive Instantaneous Optimal Control of Inelastic Structures During Earthquakes,” Earthquake Engineering & Structural Dynamics, 32(14): 2179–2195.

    Article  Google Scholar 

  • Xu ZD, Shen YP and Guo YQ (2003), “Semiactive Control of Structures Incorporated with Magnetorheological Dampers Using Neural Networks,” Smart Materials and Structures, 12(1): 80–87.

    Article  Google Scholar 

  • Yang JN, Akbarpour A and Ghaemmaghami P (1987), “New Optimal Control Algorithms for Structural Control,” Journal of Engineering Mechanics, ASCE, 113(9): 1369–1386.

    Google Scholar 

  • Yang G, Spencer Jr BF, Jung H and Carlson JD (2004), “Dynamic Modeling of Large-scale Magnetorheological Damper Systems for Civil Engineering Applications,” Journal of Engineering Mechanics, ASCE, 130(9): 1107–1114.

    Article  Google Scholar 

  • Yi F, Dyke SJ, Caicedo JM and Carlson JD (2001), “Experimental Verification of Multi-input Seismic Control Strategies for Smart Dampers,” Journal of Engineering Mechanics, ASCE, 127(11): 1152–1164.

    Article  Google Scholar 

  • Zhong WX (2004), “On Precise Integration Method,” Journal of Computational and Applied Mathematics, 163(1): 59–78.

    Article  Google Scholar 

  • Zhang YH, Lin JH, Williams FW and Li QS (2005), “Wave Passage Effect of Seismic Ground Motions on the Response of Multiply Supported Structures,” Structural Engineering and Mechanics, 20(6): 655–672.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Civil Engineering, Tianjin University, Tianjin, 300072, China

    Wei Lin, Zhongxian Li & Yang Ding

  2. Tianjin Key Laboratory of Civil Engineering Structures and New Materials, Tianjin, 300072, China

    Zhongxian Li & Yang Ding

Authors
  1. Wei Lin
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Zhongxian Li
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Yang Ding
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Zhongxian Li.

Additional information

Supported by: National Science Fund for Distinguished Young Scholars of China Under Grant No. 50425824 and the National Natural Science Foundation of China Under Grant No. 50578109, 90715034 and 90715032

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lin, W., Li, Z. & Ding, Y. Trust-region based instantaneous optimal semi-active control of long-span spatially extended structures with MRF-04K damper. Earthq. Eng. Eng. Vib. 7, 447–464 (2008). https://doi.org/10.1007/s11803-008-1002-9

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11803-008-1002-9

Keywords

Search

Navigation