DOI QR코드

DOI QR Code

Wind vibration control of stay cables using an evolutionary algorithm

  • Chen, Tim (Faculty of Information Technology, Ton Duc Thang University) ;
  • Huang, Yu-Ching (Department of Earth Science, National Taiwan Normal University) ;
  • Xu, Zhao-Wang (Department of Earth Science, National Taiwan Normal University) ;
  • Chen, J.C.Y. (Faculty of Information Technology, University of California)
  • Received : 2019.12.04
  • Accepted : 2021.01.22
  • Published : 2021.01.25

Abstract

In steel cable bridges, the use of magnetorheological (MR) dampers between butt cables is constantly increasing to dampen vibrations caused by rain and wind. The biggest problem in the actual applications of those devices is to launch a kind of appropriate algorithm that can effectively and efficiently suppress the perturbation of the tie through basic calculations and optimal solutions. This article discusses the optimal evolutionary design based on a linear and quadratic regulator (hereafter LQR) to lessen the perturbation of the bridges with cables. The control numerical algorithms are expected to effectively and efficiently decrease the possible risks of the structural response in amplification owing to the feedback force in the direction of the MR attenuator. In addition, these numerical algorithms approximate those optimal linear quadratic regulator control forces through the corresponding damping and stiffness, which significantly lessens the work of calculating the significant and optimal control forces. Therefore, it has been shown that it plays an important and significant role in the practical application design of semiactive MR control power systems. In the present proposed novel evolutionary parallel distributed compensator scheme, the vibrational control problem with a simulated demonstration is used to evaluate the numerical algorithmic performance and effectiveness. The results show that these semiactive MR control numerical algorithms which are present proposed in the present paper has better performance than the optimal and the passive control, which is almost reaching the levels of linear quadratic regulator controls with minimal feedback requirements.

Keywords

References

  1. Akgoz, B. and Civalek, O. (2013), "Buckling analysis of linearly tapered micro-columns based on strain gradient elasticity", Struct. Eng. Mech., 48(2), 195-205. https://doi.org/10.12989/sem.2013.48.2.195.
  2. Bhattacharyya, B. and Dalui, S.K. (2018), "Investigation of mean wind pressures on 'E'plan shaped tall building", Wind Struct., 26(2), 99-114. https://doi.org/10.12989/was.2018.26.2.099.
  3. Chakraborty, S., Dalui, S.K. and Ahuja, A.K. (2014), "Wind load on irregular plan shaped tall building-a case study", Wind Struct., 19(1), 59-73. https://doi.org/10.12989/was.2014.19.1.059.
  4. Chen, C.W. (2014a), "Interconnected TS fuzzy technique for nonlinear time-delay structural systems", Nonlinear Dyn., 76(1), 13-22. https://doi.org/10.1007/s11071-013-0841-8.
  5. Chen, C.W. (2014b), "A criterion of robustness intelligent nonlinear control for multiple time-delay systems based on fuzzy Lyapunov methods", Nonlinear Dyn., 76(1), 23-31. https://doi.org/10.1007/s11071-013-0869-9.
  6. Chen, J. (2020), "System simulation and synchronization for optimal evolutionary design of nonlinear controlled systems", Smart Struct. Syst., 26(6),797-807. http://dx.doi.org/10.12989/sss.2020.26.6.797.
  7. Chen, L., Sun, L. and Nagarajaiah, S. (2016), "Cable vibration control with both lateral and rotational dampers attached at an intermediate location", J. Sound Vib., 377, 38-57. https://doi.org/10.1016/j.jsv.2016.04.028.
  8. Chen, T. (2020), "An intelligent algorithm optimum for building design of fuzzy structures", Iran J. Sci. Technol, Trans Civ. Eng., 44, 523-531. https://doi.org/10.1007/s40996-019-00251-5.
  9. Chen, T. (2020), "Evolved fuzzy NN control for discrete-time nonlinear systems", J. Circuits Syst. Comput., 29(1), 2050015. https://doi.org/10.1142/S0218126620500152.
  10. Chen, T. (2020), "On the algorithmic stability of optimal control with derivative operators", Circuits Syst. Signal Process. https://doi.org/10.1007/s00034-020-01447-1.
  11. Chen, T. (2021), "Optimized AI controller for reinforced concrete frame structures under earthquake excitation", Advan. Concrete Construct., 11(1), https://doi.org/10.12989/acc.2021.11.1.000.
  12. Chen, Z.H., Lam, K.H. and Ni, Y.Q. (2016), "Enhanced damping for bridge cables using a self-sensing MR damper", Smart Mater. Struct., 25(8), 085019. https://doi.org/10.1088/0964-1726/25/8/085019
  13. Chen, Z.Q., Wang, X.Y., Ko, J.M., Ni, Y.Q., Spencer, B.F., Yang, G. and Hu, J.H. (2004), "MR damping system for mitigating wind-rain induced vibration on Dongting Lake Cable-Stayed Bridge", Wind Struct., 7(5), 293-304. https://doi.org/10.12989/was.2004.7.5.293
  14. Connor, J.J. (2003), Introduction to Structural Motion Control, Prentice-Hall: Upper Saddle River, N.J.
  15. Dagnew, A. and Bitsuamlak, G.T. (2013), "Computational evaluation of wind loads on buildings: a review", Wind Struct., 16(6), 629-660. http://dx.doi.org/10.12989/was.2013.16.6.629.
  16. Djebien, R., Hebhoub, H., Belachia, M., Berdoudi, S. and Kherraf, L. (2018), "Incorporation of marble waste as sand in formulation of self-compacting concrete", Struct. Eng. Mech., 67(1), 87-91. https://doi.org/10.12989/sem.2018.67.1.087.
  17. Enns, D.F. (1984), "Model reduction with balanced realizations: An error bound and frequency weighted generalization", Proc. 23rd Conference on Decision and Control, Las Vegas.
  18. Gauthier, D.J., Sukow, D.W., Concannon, H.M. and Socolar, J.E. (1994), "Stabilizing unstable periodic orbits in a fast diode resonator using continuous time-delay autosynchronization", Phys. Rev. E., 50(3), 2343. https://doi.org/10.1103/PhysRevE.50.2343.
  19. Goksu, C., Saribas, I., Binbir, E., Akkaya, Y. and Ilki, A. (2019), "Structural performance of recycled aggregates concrete sourced from low strength concrete", Struct. Eng. Mech., 69(1), 77-93. https://doi.org/10.12989/sem.2019.69.1.077.
  20. Kalman, R.E. (1963), "New methods in Wiener filtering theory. In J.L. Bogdanoff and F. Kozin", Proceedings of the First Symposium on Engineering Applications of Random Function Theory and Probability. New York.
  21. Maciejowski, J.M. (1989), Multivariable Feedback Design, Addition-Wesley Publishing Co., 222-264.
  22. Mukherjee, S., Chakraborty, S., Dalui, S.K. and Ahuja, A.K. (2014), "Wind induced pressure on 'Y' plan shape tall building", Wind Struct., 19(5), 523-540. https://doi.org/10.12989/was.2014.19.5.523
  23. Muthuraj, H., Sekar, S.K., Mahendran, M., and Deepak, O.P. (2017), "Post buckling mechanics and strength of cold-formed steel columns exhibiting Local-Distortional interaction mode failure", Struct. Eng. Mech., 64(5), 621-640.https://doi.org/10.12989/sem.2017.64.5.621.
  24. Orod, Z. and Hamid Reza, K. (2016), "Experimental investigation on self-compacting concrete reinforced with steel fibers", Struct. Eng. Mech., 59(1), 133-151.https://doi.org/10.12989/sem.2016.59.1.133.
  25. Pinelli, J.P., Subramanian, C.S., Lapilli, C. and Buist, L. (2005), "Application of a wireless pressure sensing system to coastal wind monitoring", Wind Struct., 8(3), 179-196. https://doi.org/10.12989/was.2005.8.3.179
  26. Qissab, M.A. and Salman, M.M. (2018), "Shear strength of nonprismatic steel fiber reinforced concrete beams without stirrups", Struct. Eng. Mech., 67(4), 347-358. https://doi.org/10.12989/sem.2018.67.4.347.
  27. Tsai, P.W., Pan, J.S., Liao, B.Y., Tsai, M.J. and Istanda, V. (2012), "Bat algorithm inspired algorithm for solving numerical optimization problems", Appl. Mech. Mater., 148, 134-137. https://doi.org/10.4028/www.scientific.net/AMM.148-149.134
  28. Wang, H.O. and Abed, E.H. (1995), "Bifurcation control of a chaotic system", Automatica, 31(9), 1213-1226. https://doi.org/10.1016/0005-1098(94)00146-A.
  29. Wang, H.O., Tanaka, K. and Griffin, M.F. (1996), "An approach to fuzzy control of nonlinear systems: Stability and design issues", IEEE Transactions Fuzzy Syst., 4(1), 14-23. https://doi.org/10.1109/91.481841.
  30. Xu, Z.D., Xu, M. and Sun, C.L. (2018), "Performance tests and microchain model validation of a novel kind of MR fluid with GO-coated iron particles", J. Mater. Civil Eng., 30(5), 04018072. https://doi.org/10.1061/(ASCE)MT.1943-5533.0002253.