Smart Structures and Systems

  • 제5권3호
  • /
  • Pages.209-221
  • /
  • 2009
  • /
  • 1738-1584(pISSN)
  • /
  • 1738-1991(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Sliding mode control for structures based on the frequency content of the earthquake loading

  • Pnevmatikos, Nikos G. (Metal Structures Laboratory, School of Civil Engineering, National Technical University of Athens) ;
  • Gantes, Charis J. (Metal Structures Laboratory, School of Civil Engineering, National Technical University of Athens)
  • 투고 : 2007.12.24
  • 심사 : 2008.09.20
  • 발행 : 2009.05.25
⟨ 이전 논문 다음 논문 ⟩

초록

A control algorithm for seismic protection of building structures based on the theory of variable structural control or sliding mode control is presented. The paper focus in the design of sliding surface. A method for determining the sliding surface by pole assignment algorithm where the poles of the system in the sliding surface are obtained on-line, based on the frequency content of the incoming earthquake signal applied to the structure, is proposed. The proposed algorithm consists of the following steps: (i) On-line FFT process is applied to the incoming part of the signal and its frequency content is recognized. (ii) A transformation of the frequency content to the complex plane is performed and the desired location of poles of the controlled structure on the sliding surface is estimated. (iii) Based on the estimated poles the sliding surface is obtained. (iv) Then, the control force which will drive the response trajectory into the estimated sliding surface and force it to stay there all the subsequent time is obtained using Lyapunov stability theory. The above steps are repeated continuously for the entire duration of the incoming earthquake. The potential applications and the effectiveness of the improved control algorithm are demonstrated by numerical examples. The simulation results indicate that the response of a structure is reduced significantly compared to the response of the uncontrolled structure, while the required control demand is achievable.

키워드

참고문헌

  1. Cai, G.P., Huang, J.Z., Sun, F. and Wang, C. (1997), "Modified sliding mode bang-bang control for seismically excited linear structure", Earthq. Eng. Struct. D., 29, 1647-1657.
  2. Casciati, S. and Osman, A. (2005), "Damage assessment and retrofit study for the Luxor Memnon Colossi", Structural Control Health Monitoring, 12, 139-156. https://doi.org/10.1002/stc.53
  3. Casciati, F. and Yao, T. (1994), "Comparison of strategies for the active control of civil structures", Proc. First World Conf. Structural Control, CA, WA1. 3-12.
  4. Connor, J.J. and Klink, B.S.A. (1996), Introduction to Motion Based Design, Computational Mechanics Publication, ISBN:1-85312-454-0.
  5. Housner, G.W., Marsi, S.F. and Chassiakos, A.G. (1994), Proc. First World Conf. on Structural Control, CA.
  6. Kobori, T., Inoue, Y., Seto, K., Iemura, H. and Nishitani, A. (1998), Proc. 2nd World Conf. on Structural Control, New York.
  7. Lee, S.H., Min, K.W., Lee, Y.C. and Chung, L. (2004), "Improved design of sliding mode control for civil structures with saturation problem", Earthq. Eng. Struct. D., 33, 1147-1164. https://doi.org/10.1002/eqe.399
  8. Matheu, E.E., Singh, M.P. and Beattie, C. (1998), "Output feedback sliding-mode control with generalized sliding surface for civil structures under earthquake excitation", Earthq. Eng. Struct. D., 27(3), 259-282. https://doi.org/10.1002/(SICI)1096-9845(199803)27:3<259::AID-EQE729>3.0.CO;2-V
  9. Matheu, E.E. (1997), "Active and semi-active control of civil structures", PhD Dissertation, Virginia Polytechic Institute, Supervisor M.P. Singh.
  10. Moon, S., Bergman, L. and Voulgaris, P. (2002), "Sliding mode control of a semi-actively controlled cable-stayed bridge", Proc. of 3rd World Conf. on Structural Control, Como, Italy.
  11. Pnevmatikos, N. (2007), "Structural control design of steel structures", PhD thesis, Civil Engineering Department, National Technical University of Athens.
  12. Pnevmatikos, N.G. and Gantes, C.J. (2007a), "Strategy for on-line control of structures against earthquakes", ECCOMAS Thematic Conf. on Computational Methods in Structural Dynamics and Earthquake Engineering, M. Papadrakakis, D.C. Charmpis, N.D. Lagaros, Y. Tsompanakis (eds.), Rethymno, Crete, Greece, June 13-16, CD ROM Proceedings, paper #1389.
  13. Qing, S., Ling, Z., Jinxiong, Z. and Qingxuan, S. (2003), "Experimental study of the semi-active control of building structures using the shaking table", Earthq. Eng. Struct. D., 32, 2353-2376. https://doi.org/10.1002/eqe.329
  14. Sarbjeet, S. and Datta, T.K. (2000), "Nonlinear sliding mode control of seismic response of building frames", J. Eng. Mech., 126, 340-347. https://doi.org/10.1061/(ASCE)0733-9399(2000)126:4(340)
  15. Slotin, J.J. and Li, W. (1991), Applied Non Linear Control, Prentice Hall.
  16. Soong, T.T. (1990), Active Structural Control: Theory and Practice, London/New York: Longman Scientific & Technical/Wiley.
  17. Spencer, B.F., Dyke, S.J. and Deoskar, H.S. (1997), "Benchmark problem in structural control Part I: Active Mass Driver System", Proc. ASCE Structures Congress, Portland.
  18. Spencer, B.F., Dyke, S.J. and Deoskar, H.S. (1997), "Benchmark problem in structural control Part II: Active Tendon System", Proc. ASCE Structures Congress, Portland.
  19. Syrmakezis, C.A. (2006), "Seismic protection of historical structures and monuments", Structural Control Health Monitoring, 13, 958-979. https://doi.org/10.1002/stc.89
  20. Utkin, V.I. (1992), Sliding Modes in Control Optimization, Springel Verlag New York.
  21. Wang, A.P. and Lee, C.D. (2002), "Fuzzy sliding mode control for a building structure based on genetic algorithms", Earthq. Eng. Struct. D., 31, 881-885. https://doi.org/10.1002/eqe.127
  22. Wu, J.C. (1997), "Experiments on a full scale building model using modified sliding mode control", J. Eng. Mech., 129, 363-372.
  23. Yang, J.N., Kim, J.H. and Agrawal, A.K. (2000), "Resetting semi active stiffness damper for seismic response control", J. Struct. Eng., 126, 1427-1443. https://doi.org/10.1061/(ASCE)0733-9445(2000)126:12(1427)
  24. Yang, J.N. (1975), "Application of optimal control theory to civil engineering structures", J. Eng. Mech. ASCE, 30, 819-838.
  25. Yang, J.N., Wu, J.C. and Li, Z. (1996), "Control of seismic excited buildings using active variable stiffness", Eng. Struct., 18, 589-596. https://doi.org/10.1016/0141-0296(95)00175-1
  26. Yang, J.N., Wu, J.C., Agrawal, A.K. and Hsu, S.Y. (1995), "Sliding mode control of seismically excited linear structures", J. Eng. Mech., 121, 1386-1390. https://doi.org/10.1061/(ASCE)0733-9399(1995)121:12(1386)
  27. Yang, J.N., Wu, J.C., Agrawal, A.K. and Hsu, S.Y. (1995), "Sliding mode control for non linear and hysteretic structures", J. Eng. Mech., 121, 1330-1339. https://doi.org/10.1061/(ASCE)0733-9399(1995)121:12(1330)
  28. Yao, J.T.P. (1972), "Concepts of structural control", J. Struct. Eng., 98, 1567-1574.

피인용 문헌

  1. Parametric Sensitivity Analysis on the Buffeting Control of a Long-Span Triple-Tower Suspension Bridge with MTMD vol.7, pp.4, 2017, https://doi.org/10.3390/app7040395
  2. Adaptive fuzzy sliding mode control of seismically excited structures vol.19, pp.5, 2009, https://doi.org/10.12989/sss.2017.19.5.577
  3. Sliding mode control of linear structures and a Duffing system using active tendons vol.172, pp.3, 2019, https://doi.org/10.1680/jencm.18.00033
  4. Structural control on the occurrence of groundwater in granite gneissic terrain, Purulia, West Bengal vol.13, pp.18, 2009, https://doi.org/10.1007/s12517-020-05853-2