Structural Engineering and Mechanics

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Model reduction techniques for high-rise buildings and its reduced-order controller with an improved BT method

  • Chen, Chao-Jun (School of Civil and Environmental Engineering, Harbin Institute of Technology) ;
  • Teng, Jun (School of Civil and Environmental Engineering, Harbin Institute of Technology) ;
  • Li, Zuo-Hua (School of Civil and Environmental Engineering, Harbin Institute of Technology) ;
  • Wu, Qing-Gui (School of Civil and Environmental Engineering, Harbin Institute of Technology) ;
  • Lin, Bei-Chun (School of Civil and Environmental Engineering, Harbin Institute of Technology)
  • Received : 2020.02.14
  • Accepted : 2021.02.28
  • Published : 2021.05.10
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Abstract

An AMD control system is usually built based on the original model of a target building. As a result, the fact leads a large calculation workload exists. Therefore, the orders of a structural model should be reduced appropriately. Among various model-reduction methods, a suitable reduced-order model is important to high-rise buildings. Meanwhile, a partial structural information is discarded directly in the model-reduction process, which leads to the accuracy reduction of its controller design. In this paper, an optimal technique is selected through comparing several common model-reduction methods. Then, considering the dynamic characteristics of a high-rise building, an improved balanced truncation (BT) method is proposed for establishing its reduced-order model. The abandoned structural information, including natural frequencies, damping ratios and modal information of the original model, is reconsidered. Based on the improved reduced-order model, a new reduced-order controller is designed by a regional pole-placement method. A high-rise building with an AMD system is regarded as an example, in which the energy distribution, the control effects and the control parameters are used as the indexes to analyze the performance of the improved reduced-order controller. To verify its effectiveness, the proposed methodology is also applied to a four-storey experimental frame. The results demonstrate that the new controller has a stable control performance and a relatively short calculation time, which provides good potential for structural vibration control of high-rise buildings.

Keywords

Acknowledgement

The research described in this paper was financially supported by the Funds for Creative Research Groups of National Natural Science Foundation of China (Grant No. 51921006), the National Natural Science Foundations of China (Grant Nos. 51978224 and 52008141), the China Postdoctoral Science Foundation Grant (Grant No. 2019M651291), the Hong Kong Scholars Program (Grant No. XJ2019039), the National Major Scientific Research Instrument Development Program of China (Grant No. 51827811), and the Shenzhen Technology Innovation Programs (Grant Nos. JCYJ20170811160003571 and JCYJ20180508152238111). The authors declare that there is no conflict of interest regarding the publication of this paper.

References

  1. Azam, S.E. and Mariani, S. (2013), "Investigation of computational and accuracy issues in POD-based reduced order modeling of dynamic structural systems", Eng. Struct., 54, 150-167. https://doi.org/10.1016/j.engstruct.2013.04.004.
  2. Bigdeli, Y. and Kim, D. (2017), "Development of energy-based neuro-wavelet algorithm to suppress structural vibration", Struct. Eng. Mech., 62(2), 237-246. https://doi.org/10.12989/sem.2017.62.2.237.
  3. Boo, S.H. and Lee, P.S. (2017), "A dynamic condensation method using algebraic substructuring", Int. J. Numer. Meth. Eng., 109(12), 1701-1720. https://doi.org/10.1002/nme.5349.
  4. Chen, C.J., Li, Z.H., Teng, J., Hu, W.H. and Wang, Y. (2017), "An observer-based controller with a LMI-based filter against wind-induced motion for high-rise buildings", Shock Vib., 1-18. https://doi.org/10.1155/2017/1427270.
  5. Hartmann, C., Vulcanov, V.M. and Schutte, C. (2010), "Balanced truncation of linear second-order systems: a hamiltonian approach", Multiscale Model Simul., 8(4), 1348-1367. https://doi.org/10.1137/080732717.
  6. Jiang, J.W., Zhang, P., Patil, D., Li, H.N. and Song, G.B. (2017), "Experimental studies on the effectiveness and robustness of a pounding tuned mass damper for vibration suppression of a submerged cylindrical pipe", Struct. Control Hlth., 24, e202712. https://doi.org/10.1002/stc.2027.
  7. Jin, C.Y., Ryu, K.H., Sung, S.W., Lee, J. and Lee, I.B. (2014), "PID auto-tuning using new model reduction method and explicit PID tuning rule for a fractional order plus time delay model", J. Proc. Contr., 24(1), 113-128. https://doi.org/10.1016/j.jprocont.2013.11.010.
  8. Klis, D., Farle, O. and Dyczij-Edlinger, R. (2016), "Model-order reduction for the finite-element boundary-element simulation of eddy-current problems including rigid body motion", IEEE T. Magnetic., 52, 72004043. https://doi.org/10.1109/TMAG.2015.2482541.
  9. Koreck, J. and von Estorff, O. (2015), "Reduced order structural models for the calculation of wet contact forces due to impacts in hydraulic valves", Meccanica, 50(5), 1387-1401. https://doi.org/10.1007/s11012-014-0097-5.
  10. Laub, A.J., Heath, M.T., Paige, C.C. and Ward, R.C. (1987), "Computation of system balancing transformations and other applications of simultaneous diagonalization algorithms", IEEE T. Automat. Contr., 32(2), 115-122. https://doi.org/10.1109/TAC.1987.1104549.
  11. Li, B., Dai, K., Li, H., Li, B. and Tesfamariam, S. (2019), "Optimum design of a non-conventional multiple tuned mass damper for a complex power plant structure", Struct. Infrastruct. E, 15(7), 954-964. https://doi.org/10.1080/15732479.2019.1585461.
  12. Li, C.X., Li, J.H. and Qu, Y. (2010), "An optimum design methodology of active tuned mass damper for asymmetric structures", Mech. Syst. Signal Pr., 24(3), 746-765. https://doi.org/10.1016/j.ymssp.2009.09.011.
  13. Li, C.X. and Qu, W.L. (2004), "Evaluation of elastically linked dashpot based active multiple tuned mass dampers for structures under ground acceleration", Eng. Struct., 26(14), 2149-2160. https://doi.org/10.1016/j.engstruct.2004.07.019.
  14. Li, C., Yu, Z., Xiong, X. and Wang, C. (2009), "Active multiple-tuned mass dampers for asymmetric structures considering soil-structure interaction", Struct. Control Hlth., 17(4), 452-472. https://doi.org/10.1002/stc.326.
  15. Li, Z.H., Chen, C.J., Teng, J. and Wang, Y. (2018), "A compensation controller based on a regional pole-assignment method for AMD control systems with a time-varying delay", J. Sound Vib., 419, 18-32. https://doi.org/10.1016/j.jsv.2017.11.055.
  16. Louca, L.S. (2014), "Modal analysis reduction of multi-body systems with generic damping", J. Comput. Sci., 5(3), 415-426. https://doi.org/10.1016/j.jocs.2013.08.008.
  17. Mortezaie, H. and Rezaie, F. (2018), "Effect of soil in controlling the seismic response of three-dimensional pbpd high-rise concrete structures", Struct. Eng. Mech., 666(2), 217-227. https://doi.org/10.12989/sem.2018.66.2.217.
  18. Pekar, L. and Matusu, R. (2018), "A suboptimal shifting based Zero-pole placement method for systems with delays", Int. J. Control Autom., 16(2), 594-608. https://doi.org/10.1007/s12555-017-0074-6.
  19. Qian, H., Li, H.N. and Song, G.B. (2016), "Experimental investigations of building structure with a superelastic shape memory alloy friction damper subject to seismic loads", Smart Mater. Struct., 25, 12502612. https://doi.org/10.1088/0964-1726/25/12/125026.
  20. Qu, C.X., Huo, L.S., Li, H.N. and Wang, Y. (2014), "A double homotopy approach for decentralized H-infinity control of civil structures", Struct. Control Hlth., 21(3), 269-281. https://doi.org/10.1002/stc.1552.
  21. Rowley, C.W. and Dawson, S. (2017), "Model reduction for flow analysis and control", Annu. Rev. Fluid Mech., 49(1), 387-417. https://doi.org/10.1146/annurev-fluid-010816-060042.
  22. Shen, W.A., Zhu, S.Y., Xu, Y.L. and Zhu, H.P. (2018), "Energy regenerative tuned mass dampers in high-rise buildings", Struct. Control Hlth., 25, e20722. https://doi.org/10.1002/stc.2072.
  23. Teng, J., Xing, H.B., Lu, W., Li, Z.H. and Chen, C.J. (2016), "Influence analysis of time delay to active mass damper control system using pole assignment method", Mech. Syst. Signal Pr., 80, 99-116. https://doi.org/10.1016/j.ymssp.2016.04.008.
  24. Wang, J., Li, H., Li, L. and Song, G. (2009), "Nonlinear decentralized control of seismically excited civil structures", Proceedings of the SPIE - The International Society for Optical Engineering, 7288, 72882E. https://doi.org/10.1117/12.816460.
  25. Wang, Y.N., Palacios, R. and Wynn, A. (2015), "A method for normal-mode-based model reduction in nonlinear dynamics of slender structures", Comput. Struct., 159, 26-40. https://doi.org/10.1016/j.compstruc.2015.07.001.
  26. Xu, H.B., Zhang, C.W., Li, H. and Ou, J.P. (2014), "Real-time hybrid simulation approach for performance validation of structural active control systems: A linear motor actuator based active mass driver case study", Struct. Control Hlth., 21(4), 574-589. https://doi.org/10.1002/stc.1585.
  27. Yang, Y.Z. and Li, C.X. (2017), "Performance of tuned tandem mass dampers for structures under the ground acceleration", Struct. Control Hlth., 24, e197410. https://doi.org/10.1002/stc.1974.
  28. Zhang, C.W. and Ou, J.P. (2015), "Modeling and dynamical performance of the electromagnetic mass driver system forstructural vibration control", Eng. Struct., 82, 93-103. https://doi.org/10.1016/j.engstruct.2014.10.029.
  29. Zhang, P., Song, G.B., Li, H.N. and Lin, Y.X. (2013), "Seismic control of power transmission tower using pounding TMD", J. Eng. Mech., 139(10), 1395-1406. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000576.
  30. Zhang, Z., Chen, J. and Li, J. (2014), "Seismic control of power transmission tower using pounding TMD", J. Eng. Mech., 139(10), 1395-1406. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000576.
  31. Zhou, H.J., Huang, X.G., Xiang, N., He, J.W., Sun, L.M. and Xing, F. (2018). "Free vibration of a taut cable with a damper and a concentrated mass", Struct. Control Hlth., 25, e225111. https://doi.org/10.1002/stc.2251.
  32. Zhou, H.J., Qi, S.K., Yao, G.Z., Zhou, L.B., Sun, L.M. and Xing, F. (2018), "Damping and frequency of a model cable attached with a pre-tensioned shape memory alloy wire: experiment and analysis", Struct. Control Hlth., 25, e21062. https://doi.org/10.1002/stc.2106.
  33. Zhu, S.Y., Shen, W.A. and Xu, Y.L. (2012), "Linear electromagnetic devices for vibration damping and energy harvesting: Modeling and testing", Eng. Struct., 34, 198-212. https://doi.org/10.1016/j.engstruct.2011.09.024.