Smart Structures and Systems

  • 제15권3호
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  • Pages.847-862
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  • 2015
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  • 1738-1584(pISSN)
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  • 1738-1991(eISSN)
테크노프레스 (Techno-Press)
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DOI QR코드

DOI QR Code

Efficient optimal design of passive structural control applied to isolator design

  • Kamalzare, Mahmoud (Sonny Astani Department of Civil and Environmental Engineering, University of Southern) ;
  • Johnson, Erik A. (Sonny Astani Department of Civil and Environmental Engineering, University of Southern) ;
  • Wojtkiewicz, Steven F. (Department of Civil and Environmental Engineering, Clarkson University)
  • 투고 : 2014.12.18
  • 심사 : 2015.01.27
  • 발행 : 2015.03.25
⟨ 이전 논문 다음 논문 ⟩

초록

Typical base isolated buildings are designed so that the superstructure remains elastic in design-level earthquakes, though the isolation layer is often quite nonlinear using, e.g., hysteretic elements such as lead-rubber bearings and friction pendulum bearings. Similarly, other well-performing structural control systems keep the structure within the linear range except during the most extreme of excitations. Design optimization of these isolators or other structural control systems requires computationally-expensive response simulations of the (mostly or fully) linear structural system with the nonlinear structural control devices. Standard nonlinear structural analysis algorithms ignore the localized nature of these nonlinearities when computing responses. This paper proposes an approach for the computationally-efficient optimal design of passive isolators by extending a methodology previously developed by the authors for accelerating the response calculation of mostly linear systems with local features (linear or nonlinear, deterministic or random). The methodology is explained and applied to a numerical example of a base isolated building with a hysteretic isolation layer. The computational efficiency of the proposed approach is shown to be significant for this simple problem, and is expected to be even more dramatic for more complex systems.

키워드

참고문헌

  1. Bhatti, M.A., Pister, K.S. and Polak, E.L. (1978), Optimal design of an earthquake isolation system, Report No. UCB/EERC-78/22, Earthquake Engineering Research Center, University of California, Berkeley.
  2. Bouc, R. (1967), "Forced vibration of mechanical systems with hysteresis", Proceedings of the 4th Conference on Nonlinear Oscillation, Prague, Czechoslovakia, 315.
  3. Bucher, C. (2009), "Probability-based optimal design of friction-based seismic isolation devices", Struct. Saf., 31(6), 500-507. https://doi.org/10.1016/j.strusafe.2009.06.009
  4. Buckle, I.G. and Mayes, R.L. (1990), "Seismic isolation: History, application, and performance-a world view", Earthq. Spectra, 6(2), 161-201. https://doi.org/10.1193/1.1585564
  5. Constantinou, M.C. and Tadjbakhsh, I.G. (1983), "Probabilistic optimum base isolation of structures", J. Struct. Eng. - ASCE, 109(3), 676-689. https://doi.org/10.1061/(ASCE)0733-9445(1983)109:3(676)
  6. Constantinou, M.C. and Tadjbakhsh, I.G. (1984), "The optimum design of a base isolation system with frictional elements", Earthq. Eng. Struct. D., 12(2), 203-214. https://doi.org/10.1002/eqe.4290120205
  7. Constantinou, M.C. and Tadjbakhsh, I.G. (1985), "Hysteretic dampers in base isolation: Random approach", J. Struct. Eng. - ASCE, 111(4), 705-721. https://doi.org/10.1061/(ASCE)0733-9445(1985)111:4(705)
  8. Fragiacomo, M., Rajgelj, S. and Cimadom, F. (2003), "Design of bilinear hysteretic isolation systems", Earthq. Eng. Struct. D., 32(9), 1333-1352. https://doi.org/10.1002/eqe.276
  9. Gaurav, Wojtkiewicz, S.F. and Johnson, E.A. (2011), "Efficient uncertainty quantification of dynamical systems with local nonlinearities and uncertainties", Probabilist. Eng. Mech., 26(4), 561-569. https://doi.org/10.1016/j.probengmech.2011.07.002
  10. Gordis, J.H. and Radwick, J. (1999), "Efficient transient analysis for large locally nonlinear structures", Shock Vib., 6(1), 1-9. https://doi.org/10.1155/1999/269370
  11. Housner, G.W., Bergman, L.A., Caughey, T.K., Chassiakos, A.G., Claus, R.O., Masri, S.F., Skelton, R.E., Soong, T.T., Spencer, B.F. and Yao, J.T.P. (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)
  12. Jangid, R. (2000), "Optimum frictional elements in sliding isolation systems", Comput. Struct., 76(5), 651-661. https://doi.org/10.1016/S0045-7949(99)00126-1
  13. Jangid, R. (2005), "Optimum friction pendulum system for near-fault motions", Eng. Struct., 27(3), 349-359. https://doi.org/10.1016/j.engstruct.2004.09.013
  14. Jangid, R. (2007), "Optimum lead-rubber isolation bearings for near-fault motions", Eng. Struct., 29(10), 2503-2513. https://doi.org/10.1016/j.engstruct.2006.12.010
  15. Jensen, H. and Sepulveda, J. (2012), "On the reliability-based design of structures including passive energy dissipation systems", Struct. Saf., 34(1), 390-400. https://doi.org/10.1016/j.strusafe.2011.09.005
  16. Johnson, E.A., Kamalzare, M. and Wojtkiewicz, S.F. (2013), "Efficient optimal design of passive hysteretic base isolators by Volterra integral equations", Proceedings of the 11th International Conference on Structural Safety & Reliability (ICOSSAR 2013), New York, NY, June 16-20.
  17. Johnson, E.A. and Wojtkiewicz, S.F. (2014), "Efficient sensitivity analysis of structures with local modifications - Part II: Transfer functions and spectral densities", J. Eng. Mech. - ASCE, 140(9), 04014068. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000769
  18. Kamalzare, M. (2014), Computationally efficient design of optimal strategies for passive and semiactive damping devices in smart structures, Ph.D. Dissertation, Univ. of Southern California, Los Angeles, CA.
  19. Kamalzare, M., Johnson, E.A. and Wojtkiewicz, S.F. (2015), "Computationally efficient design of optimal strategies for controllable damping devices", Struct. Control Health Monit., 22(1), 1-18. https://doi.org/10.1002/stc.1649
  20. Kelly, J.M. (1986), "Aseismic base isolation: review and bibliography", Soil Dyn. Earthq. Eng., 5, 202-216. https://doi.org/10.1016/0267-7261(86)90006-0
  21. Naeim, F. and Kelly, J.M. (1999), Design of Seismic Isolated Structures: From Theory to Practice, Wiley, Chichester, England.
  22. Nagarajaiah, S. and Sun, X. (2000), "Response of base-isolated USC hospital building in Northridge earthquake", J. Struct. Eng. - ASCE, 126(10), 1177-1186. https://doi.org/10.1061/(ASCE)0733-9445(2000)126:10(1177)
  23. Norton, K.M. (2002), Parameter optimization of seismic isolator models using recursive block-by-block nonlinear transient structural synthesis, M.S. thesis, Naval Postgraduate School, Monterey, CA.
  24. Park, J.G. and Otsuka, H. (1999), "Optimal yield level of bilinear seismic isolation devices", Earthq. Eng. Struct. D., 28(9), 941-955. https://doi.org/10.1002/(SICI)1096-9845(199909)28:9<941::AID-EQE848>3.0.CO;2-5
  25. Roy, B.K., Chakraborty, S. and Mihsra, S.K. (2014), "Robust optimum design of base isolation system in seismic vibration control of structures under uncertain bounded system parameters", J. Vib. Control, 20(5), 786-800. https://doi.org/10.1177/1077546312466577
  26. Skinner, R.I., Robinson, W.H. and McVerry, G.H. (1993), An Introduction to Seismic Isolation, Wiley, Chichester, England.
  27. Soong, T.T. and Dargush, G.F. (1997), Passive Energy Dissipation Systems in Structural Engineering. Wiley, Chichester, England.
  28. Taflanidis, A.A. and Beck, J.L. (2008a), "An efficient framework for optimal robust stochastic system design using stochastic simulation", Comput. Method. Appl. M., 198(1), 88-101. https://doi.org/10.1016/j.cma.2008.03.029
  29. Taflanidis, A.A. and Beck, J.L. (2008b), "Stochastic subset optimization for optimal reliability problems", Probabilist. Eng. Mech., 23(2-3), 324-338. https://doi.org/10.1016/j.probengmech.2007.12.011
  30. Taflanidis, A.A. and Beck, J.L. (2009), "Stochastic subset optimization for reliability optimization and sensitivity analysis in system design", Comput. Struct., 87(5-6), 318-331. https://doi.org/10.1016/j.compstruc.2008.12.015
  31. Taflanidis, A.A. and Beck, J.L. (2010), "Reliability-based design using two-stage stochastic optimization with a treatment of model prediction errors", J. Eng. Mech. - ASCE, 136(12), 1460-1473. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000189
  32. Wen, Y.K. (1976), "Method for random vibration of hysteretic systems", J. Eng. Mech. Div., 102(2), 259-263.
  33. Wilson, E.L. (1999), Three Dimensional Static and Dynamic Analysis of Structures: A Physical Approach with Emphasis on Earthquake Engineering, Computers and Structures, 3rd Ed.
  34. Wojtkiewicz, S.F. and Johnson, E.A. (2014), "Efficient sensitivity analysis of structures with localmodifications - Part I: Time domain responses", J. Eng. Mech. - ASCE, 140(9), 04014067. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000768

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  2. Efficient optimal design and design-under-uncertainty of passive control devices with application to a cable-stayed bridge vol.24, pp.2, 2017, https://doi.org/10.1002/stc.1846
  3. Optimum Design of Curved Surface Sliders Based on Site-Specific Seismic Input and Its Sensitivity vol.8, pp.3, 2018, https://doi.org/10.3390/geosciences8030083
  4. Curved surface sliders with friction damping, linear viscous damping, bow tie friction damping, and semiactively controlled properties vol.25, pp.11, 2018, https://doi.org/10.1002/stc.2257
  5. Computationally Efficient Bayesian Model Selection for Locally Nonlinear Structural Dynamic Systems vol.144, pp.5, 2018, https://doi.org/10.1061/(ASCE)EM.1943-7889.0001397
  6. Uncertainty Quantification of Locally Nonlinear Dynamical Systems Using Neural Networks vol.35, pp.4, 2015, https://doi.org/10.1061/(asce)cp.1943-5487.0000965