DOI QR코드

DOI QR Code

Optimum control system for earthquake-excited building structures with minimal number of actuators and sensors

  • He, Jia (Department of Civil and Environmental Engineering, The Hong Kong Polytechnic University) ;
  • Xu, You-Lin (Department of Civil and Environmental Engineering, The Hong Kong Polytechnic University) ;
  • Zhang, Chao-Dong (Department of Civil and Environmental Engineering, The Hong Kong Polytechnic University) ;
  • Zhang, Xiao-Hua (Department of Civil and Environmental Engineering, The Hong Kong Polytechnic University)
  • Received : 2014.03.16
  • Accepted : 2015.06.27
  • Published : 2015.12.25

Abstract

For vibration control of civil structures, especially large civil structures, one of the important issues is how to place a minimal number of actuators and sensors at their respective optimal locations to achieve the predetermined control performance. In this paper, a methodology is presented for the determination of the minimal number and optimal location of actuators and sensors for vibration control of building structures under earthquake excitation. In the proposed methodology, the number and location of the actuators are first determined in terms of the sequence of performance index increments and the predetermined control performance. A multi-scale response reconstruction method is then extended to the controlled building structure for the determination of the minimal number and optimal placement of sensors with the objective that the reconstructed structural responses can be used as feedbacks for the vibration control while the predetermined control performance can be maintained. The feasibility and accuracy of the proposed methodology are finally investigated numerically through a 20-story shear building structure under the El-Centro ground excitation and the Kobe ground excitation. The numerical results show that with the limited number of sensors and actuators at their optimal locations, the predetermined control performance of the building structure can be achieved.

Keywords

Acknowledgement

Supported by : Council of Hong Kong

References

  1. Agrawal, A.K. and Yang, J.N. (1999), "Optimal placement of passive dampers on seismic and wind-excited buildings using combinatorial optimization", J. Intel. Mat. Syst. Str., 10(12), 997-1014. https://doi.org/10.1106/YV3B-TP5H-HWQ2-X1OK
  2. Auperin, M., Dumoulin, C., Magonette, G.E., Marazzi, F., Forsterling, H., Bonefeld, R., Hooper, A. and Jenner, A.G. (2001), "Active control in civil engineering: from conception to full scale applications", Struct. Control Health Monit., 8(2), 123-178.
  3. Aydin, E., Boduroglu, M.H. and Guney, D. (2007), "Optimal damper distribution for seismic rehabilitation of planar building structures", Eng. Struct., 29(2), 176-185. https://doi.org/10.1016/j.engstruct.2006.04.016
  4. Barthorpe, R.J. and Worden, K. (2009), "Sensor placement optimization", Encyclopedia Struct. Health Monit., 3, 1239-1250.
  5. Bei, W.M. and Li, H.N. (2006), "Optimal placement of semi-active control devices for controlled structure", J. Disaster Prev. Mitigation Eng., 26(1), 28-33.
  6. Bigdelia, K., Hareb, W. and Tesfamariam, S. (2012), "Configuration optimization of dampers for adjacent buildings under seismic excitations", Eng. Optimiz., 44(12), 1491-1509. https://doi.org/10.1080/0305215X.2012.654788
  7. Fisco, N.R. and Adeli, H. (2011), "Smart structures: Part I-active and semi-active control", ScientiaIranica, 18(3), 275-284.
  8. Frecker, M.I. (2003), "Recent Advances in optimization of smart structures and actuators", J. Intel. Mat. Syst. Str., 14(4-5), 207-216. https://doi.org/10.1177/1045389X03031062
  9. Gupta, V., Sharma, M. and Thakur, N. (2010), "Optimization criteria for optimal placement of piezoelectric sensors and actuators on a smart structure: a technical review", J. Intel. Mat. Syst. Str., 21(12), 1227-1243. https://doi.org/10.1177/1045389X10381659
  10. Hac, A. and Liu, L. (1993), "Sensor and actuator location in motion control of flexible structures", J. Sound Vib., 167(2), 239-261. https://doi.org/10.1006/jsvi.1993.1333
  11. Haftka, R.T. and Adelman, H.M. (1985), "Selection of actuator locations for static shape control of large space structures by heuristic integer programming", Comput. Struct., 20(1-3), 578-582.
  12. Heo, G., Wang, M.L. and Satpathi, D. (1997), "Optimal transducer placement for health monitoring of long span bridge", Soil Dyn. Earthq. Eng., 16(7-8), 495-502. https://doi.org/10.1016/S0267-7261(97)00010-9
  13. Housner, G., Bergman, L., Caughey, T., Chassiakos, A., Claus, R., Masri, S.F., Skelton, R., Soong, T.T., Spencer Jr, B.F. and Yao, J. (1997), "Structural control: past, present, and future", J. Eng. Mech. - ASCE, 123(9), 897-971. https://doi.org/10.1061/(ASCE)0733-9399(1997)123:9(897)
  14. Ikeda, Y. (2009), "Active and semi-active vibration control of buildings in Japan-Practical applications and verification", Struct. Control Health Monit., 16(7-8), 703-723. https://doi.org/10.1002/stc.315
  15. Kammer, D.C. (1991), "Sensor placement for on-orbit modal identification and correlation of large space structures", J. Guid. Control Dynam., 14(2), 251-259. https://doi.org/10.2514/3.20635
  16. Li, D.S., Li, H.N. and Fritzen, C.P. (2007), "The connection between effective independence and modal kinetic energy methods for sensor placement", J. Sound Vib., 305(4-5), 945-955. https://doi.org/10.1016/j.jsv.2007.05.004
  17. Liu, W., Tong, M. and Lee, G.C. (2005), "Optimization methodology for damper configuration based on building performance indices", J. Struct. Eng. - ASCE, 131(11), 1746-1756. https://doi.org/10.1061/(ASCE)0733-9445(2005)131:11(1746)
  18. Peng, F.J., Ng, A. and Hu, Y.R. (2005), "Actuator placement optimization and adaptive vibration control of plate smart structures", J. Intel. Mat. Syst. Str., 16(3), 263-271. https://doi.org/10.1177/1045389X05050105
  19. Rao, A.R.M. and Anandakumar, G. (2008), "Optimal sensor placement techniques for system identification and health monitoring of civil structures", Smart Struct. Syst., 4(4), 465-492. https://doi.org/10.12989/sss.2008.4.4.465
  20. Soong, T.T. and Spencer Jr., B.F. (2002), "Supplemental energy dissipation: state-of-the-art and state-of-the-practice", Eng. Struct., 24(3), 243-259. https://doi.org/10.1016/S0141-0296(01)00092-X
  21. Spencer Jr., B.F., Dyke, S.J. and Deoskar, H.S. (1998), "Benchmark problems in structural control: part II-active tendon system", Earthq. Eng. Struct. D., 27(11), 1141-1147. https://doi.org/10.1002/(SICI)1096-9845(1998110)27:11<1141::AID-EQE775>3.0.CO;2-S
  22. Spencer Jr., B.F. and Nagarajaiah, S. (2003), "State of the art of structural control", J. Struct. Eng. - ASCE, 129(7), 845-856. https://doi.org/10.1061/(ASCE)0733-9445(2003)129:7(845)
  23. Takewaki, I. (1997), "Optimal damper placement for minimum transfer function", Earthq. Eng. Struct. D., 26(11), 1113-1124. https://doi.org/10.1002/(SICI)1096-9845(199711)26:11<1113::AID-EQE696>3.0.CO;2-X
  24. Takewaki, I. (2000), "Optimum damper placement for planar building frames using transfer functions", Struct. Multidiscip. O., 20(4), 280-287. https://doi.org/10.1007/s001580050158
  25. Udwadia, F.E. (1994), "Methodology for optimum sensor locations for parameter identification in dynamic system", J. Eng. Mech. - ASCE, 120(2), 368-390. https://doi.org/10.1061/(ASCE)0733-9399(1994)120:2(368)
  26. Whittle, J.K., Williams, M.S., Karavasilis, T.L. and Blakeborough, A. (2012), "A comparison of viscous damper placement methods for improving seismic building design", J. Earthq. Eng., 16(4), 540-560. https://doi.org/10.1080/13632469.2011.653864
  27. Xu, Y.L. and Teng, J. (2002), "Optimum design of active/passive control devices for tall buildings under earthquake excitation", Struct. Des. Tall Build., 11(2), 109-127. https://doi.org/10.1002/tal.193
  28. Xu, Y.L. and Ng, C.L. (2008), "Seismic protection of a building complex using variable friction damper: Experimental investigation", J. Eng. Mech. - ASCE, 134(8), 637-649. https://doi.org/10.1061/(ASCE)0733-9399(2008)134:8(637)
  29. Yi, T.H., Li, H.N. and Gu, M. (2012), "Sensor placement for structural health monitoring of Canton Tower", Smart Struct. Syst., 10(4), 313-329. https://doi.org/10.12989/sss.2012.10.4_5.313
  30. Zhang, R.H. and Soong, T.T. (1992), "Seismic design of viscoelastic dampers for structural applications", J. Struct. Eng. - ASCE, 118(5), 1375-1392. https://doi.org/10.1061/(ASCE)0733-9445(1992)118:5(1375)
  31. Zhang, X.H., Zhu, S., Xu, Y.L. and Hong, X.J. (2011), "Integrated optimal placement of displacement transducers and strain gauges for better estimation of structural response", Int. J. Struct. Stab Dyn., 11(3), 581-602. https://doi.org/10.1142/S0219455411004221
  32. Zhang, X.H. (2012), Multi-sensing and multi-scale monitoring of long-span suspension bridges, PhD thesis, Department of Civil and Environmental Engineering, Ph.D. Dissertation, The Hong Kong Polytechnic University, Hong Kong.

Cited by

  1. Structural damage identification via response reconstruction under unknown excitation vol.24, pp.8, 2017, https://doi.org/10.1002/stc.1953
  2. KF-Based Multiscale Response Reconstruction under Unknown Inputs with Data Fusion of Multitype Observations vol.32, pp.4, 2015, https://doi.org/10.1061/(asce)as.1943-5525.0001031
  3. Numerical and experimental research on actuator forces in toggled active vibration control system (Part I: Numerical) vol.25, pp.2, 2020, https://doi.org/10.12989/sss.2020.25.2.229
  4. A two-stage Kalman filter for the identification of structural parameters with unknown loads vol.26, pp.6, 2020, https://doi.org/10.12989/sss.2020.26.6.693
  5. An adaptive sensor placement algorithm for structural health monitoring based on multi-objective iterative optimization using weight factor updating vol.151, pp.None, 2015, https://doi.org/10.1016/j.ymssp.2020.107363