Structural Engineering and Mechanics

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Time delay study for semi-active control of coupled adjacent structures using MR damper

  • Received : 2015.02.22
  • Accepted : 2016.04.15
  • Published : 2016.06.25
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Abstract

The pounding phenomenon in adjacent structures happens in severing earthquakes that can cause great damages. Connecting neighboring structures with active and semi-active control devices is an effective method to avoid mutual colliding between neighboring buildings. One of the most important issues in control systems is applying online control force. There will be a time delay if the prose of producing control force does not perform on time. This paper proposed a time-delay compensation method in coupled structures control, with semi-active Magnetorheological (MR) damper. This method based on Newmark's integration is adopted to mitigate the time-delay effect. In this study, Lyapunov's direct approach is employed to compute demanded voltage for MR dampers. Using Lyapunov's direct algorithm guarantees the system stability to design a controller based on feedback. Because of the strong nonlinearity of MR dampers, the equation of motion of coupled structures becomes an involved equation, and it is impossible to solve it with the common time step methods. In present paper modified Newmark-Beta integration based on the instantaneous optimal control algorithm, used to solve the involved equation. In this method, the response of a coupled system estimated base on optimal control force. Two MDOF structures with different degrees of freedom are finally considered as a numeric example. The numerical results show, the Newmark compensation is an efficient method to decrease the negative effect of time delay in coupled systems; furthermore, instantaneous optimal control algorithm can estimate the response of structures suitable.

Keywords

References

  1. Agrawal1, A.K. and Yang, J.N. (2000), "Compensation of time delay for control of civil engineering structures", Earthq. Eng. Struct. Dyn., 29(1), 37-62. https://doi.org/10.1002/(SICI)1096-9845(200001)29:1<37::AID-EQE894>3.0.CO;2-A
  2. Bharti, S.D., Dumne, S.M. and Shrimali, M.K. (2010), "Seismic response analysis of adjacent buildings connected with MR dampers", Eng. Struct., 32(8), 2122-2133. https://doi.org/10.1016/j.engstruct.2010.03.015
  3. Cha, Y.J., Agrawal, A.K. and Dyke, S.J. (2013), "Time delay effects on large-scale MR damper based semiactive control strategies", Smart Mater. Struct., 22(1), 151-164.
  4. Chang, C.C. and Yang, H.T.Y. (1994), "Instantaneous optimal control of building frames", Struct. Eng., ASCE, 120(4), 1307-26. https://doi.org/10.1061/(ASCE)0733-9445(1994)120:4(1307)
  5. Chen, P.C. and Lee, T.Y. (2008), "Time delay study on the semi-active control with a magnetorheological Damper", Proceedings of 14th World Conference on Earthquake Engineering, China, October.
  6. Chopra, A.K. (1995), Dynamics of Structures, Printice Hall Publications, New Jersey.
  7. Dyke, S.J. and Spencer, Jr. B.F. (1997), "A comparison of semi-active control strategies for the MR damper", Iasted international conference, Intelligent Information Systems, Bahamas, December.
  8. Dyke, S.J., Spencer, B.F., Sain, M.K. and Carlson, J.D. (1996), "Modeling and control of magnetorheological dampers for seismic response reduction", Smart Mater. Struct., 5(5), 565-75. https://doi.org/10.1088/0964-1726/5/5/006
  9. Housner, G.W., Bergman, L.A., Caughey, T.K., Chassiakos, A.G., Claus RO,Masri, S.F., Skelton, R.E., Soong, T.T., Spencer, B.F. and Yao J.T.P. (1997), "Structural control: past, present, and future", Eng. Mech., ASCE, 123(9), 897-971. https://doi.org/10.1061/(ASCE)0733-9399(1997)123:9(897)
  10. Klein, R.E., Cusano, C. and Stukel, J. (1972), "Investigation of a Method to Stabilize Wind Induced Oscillations in Large Structures", Proceedings of ASME Winter Annual Meeting, New York, November.
  11. Lee, T.Y. and Chen, P.C. (2011), "Experimental and analytical study of sliding mode control for isolated bridges with MR dampers", Earthq. Eng., 15(4), 564-581. https://doi.org/10.1080/13632469.2010.524277
  12. Lee, T.Y. and Kawashima, K. (2007), "Semi-active control of nonlinear isolated bridges with time delay", Struct. Eng., ASCE, 133(2), 235-241. https://doi.org/10.1061/(ASCE)0733-9445(2007)133:2(235)
  13. Leitmann, G. (1994), "Semi-active control for vibration attenuation", Intell. Mater. Syst. Struct., 5(6), 841-846. https://doi.org/10.1177/1045389X9400500616
  14. McClamroch, N.H. and Gavin, H.P. (1995), "Closed loop structural control using electrorheological dampers", Proceeding of the American Control Conference, Seattle, Washington.
  15. Ng, C.L. and Xu, Y.L. (2007), "Semi-active control of a building complex with variable friction dampers", Eng. Struct., 29(6), 1209-1225. https://doi.org/10.1016/j.engstruct.2006.08.007
  16. Ni, Y.Q., Ko, J.M. and Ying, Z.G. (2001), "Random seismic response analysis of adjacent buildings coupled with non-linear hysteretic dampers", J. Sound Vib., 246(3), 403-17. https://doi.org/10.1006/jsvi.2001.3679
  17. Ok, S.Y., Song, J. and Park, K.S. (2008), "Optimal design of hysteretic dampers connecting adjacent structures using multi-objective genetic algorithm and stochastic linearization method", Eng. Struct., 30(5), 1240-1249. https://doi.org/10.1016/j.engstruct.2007.07.019
  18. Qu, W.L. and Xu, Y.L. (2001), "Semi-active control of seismic response of tall buildings with podium structure using ER/MR dampers", Struct. Des. Tall. Buil., 10(3), 179-92. https://doi.org/10.1002/tal.177
  19. Spencer, Jr. B.F, Dyke, S.J., Sain, M.K. and Carlson, J.D. (1996), "Phenomenological model of a magnetorheological damper", Eng. Mech., 123(3), 230-238.
  20. Symans, M.D. and Constantinou, M.C. (1995), "Development and experimental study of semi-active fluid damping devices for seismic protection of structures", Technical Rep. NCEER-95-11, National Center for Earthquake Engineering Research, Buffalo.
  21. Westermo, B. (1989), "The dynamics of inter-structural connection to prevent pounding", Earthq. Engng. Struct. Dyn., 18(5), 687-699. https://doi.org/10.1002/eqe.4290180508
  22. Xu, Z.D. and Guo, Y.Q. (2008), "Neuro-fuzzy control strategy for earthquake-excited nonlinear magnetorheological structures", Soil Dyn. Earthq. Eng., 28(9), 717-727. https://doi.org/10.1016/j.soildyn.2007.10.013
  23. Xu, Z.D. and Shen, Y.P. (2003), "Intelligent bi-state control for the structure with magnetorheological dampers", Intell. Mater. Syst. Struct., 14(1), 35-42. https://doi.org/10.1177/1045389X03014001004
  24. Xu, Z.D., Shen, Y.P. and Guo, Y.Q. (2003), "Semi-active control of structures incorporated with magnetorheological dampers using neural networks", Smart Mater. Struct., 12(1), 80-87. https://doi.org/10.1088/0964-1726/12/1/309
  25. Yinga, Z.G., Ni, Y.Q. and Kob, J.M. (2004), "Non-linear stochastic optimal control for coupled-structures system of multi-degree-of-freedom", J. Sound Vib., 274(3), 843-861. https://doi.org/10.1016/S0022-460X(03)00610-2
  26. Zhang, W.S. and Xu, Y.L. (1999), "Dynamic characteristics and seismic response of adjacent buildings linked by discrete dampers", Earthq. Eng. Struct. Dyn., 28(10), 1163-1185. https://doi.org/10.1002/(SICI)1096-9845(199910)28:10<1163::AID-EQE860>3.0.CO;2-0
  27. Zhang, W.S. and Xu, Y.L. (2000), "Vibration analysis of two buildings linked by maxwell model-defined fluid dampers", J. Sound Vib., 233(5), 775-96. https://doi.org/10.1006/jsvi.1999.2735
  28. Zhu, H.P., Ge, D.D. and Huang, X. (2011), "Optimum connecting dampers to reduce the seismic responses of parallel structures", J. Sound Vib., 330(9), 1931-1949. https://doi.org/10.1016/j.jsv.2010.11.016

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