Earthquakes and Structures

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Multiple failure criteria-based fragility curves for structures equipped with SATMDs

  • Received : 2019.07.29
  • Accepted : 2019.09.20
  • Published : 2019.11.25
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Abstract

In this paper, a procedure to develop fragility curves of structures equipped with semi-active tuned mass dampers (SATMDs) considering multiple failure criteria has been presented while accounting for the uncertainties of the input excitation, structure and control device parameters. In this procedure, Latin hypercube sampling (LHS) method has been employed to generate 30 random SATMD-structure systems and nonlinear incremental dynamic analysis (IDA) has been conducted under 20 earthquakes to determine the structural responses, where failure probabilities in each intensity level have been evaluated using Monte Carlo simulation (MCS) method. For numerical analysis, an eight-story nonlinear shear building frame with bilinear hysteresis material behavior has been used. Fragility curves for the structure equipped with optimal SATMDs have been developed considering single and multiple failure criteria for different performance levels and compared with that of uncontrolled structure as well as structure controlled using passive tuned mass damper (TMD). Numerical analysis has shown the capability of SATMDs in significant enhancement of the seismic fragility of the nonlinear structure. Also, considering multiple failure criteria has led to increasing the fragility of the structure. Moreover, it is observed that the influence of the uncertainty of input excitation with respect to the other uncertainties is considerable.

Keywords

References

  1. ASCE/SEI 41-13 (2014), Seismic Evaluation and Retrofit Rehabilitation of Existing Buildings, American Society of Civil Engineers.
  2. Bagheri, S. and Rahmani-Dabbagh, V. (2018), "Seismic response control with inelastic tuned mass dampers", Eng. Struct., 172(1), 712-722. https://doi.org/10.1016/j.engstruct.2018.06.063.
  3. Bakhshinezhad, S. and Mohebbi, M. (2019), "Fragility curves for structures equipped with optimal SATMDs", Int. J. Optim. Civil Eng., 9(3), 437-455.
  4. Bao, Y., Becher, T.C., Sone, T. and Hamaguchi, H. (2018), "To limit forces or displacements: Collapse study of steel frames isolated by sliding bearings with and without restraining rims", Soil Dyn. Earthq. Eng., 112, 203-214. https://doi.org/10.1016/j.soildyn.2018.05.006.
  5. Barnawi, W.T. (2008), "Seismic fragility relationships for civil structures retrofitted with semi-active devices", Master Thesis, Washington University, St. Louis, United States.
  6. Barnawi, W.T. and Dyke, S.J. (2014), "Seismic fragility relationships of a cable-stayed bridge equipped with Response modification systems", J. Bridge Eng., 19(8), A4013003. https://doi.org/10.1061/(ASCE)BE.19435592.0000468.
  7. Biasio, M.D. (2014), "Ground motion intensity measure for seismic probabilistic risk analysis", Ph.D. Thesis, University of Grenoble, France.
  8. Cimellaro, G.P. and Reinhorn, A.M. (2011), "Multidimensional performance limit state for hazard fragility functions", J. Eng. Mech., 137(1), 47-60. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000201.
  9. Dadkhah, H. and Mohebbi, M. (2019), "Performance assessment of an earthquake-based optimally designed fluid viscous damper under blast loading", Adv. Struct. Eng., 22(14), 1-15. https://doi.org/10.1177/1369433219855905.
  10. Ditlevsen, O. and Madsen, H.O. (1996), Structural Reliability Methods, 1st Edition, John Wiley & Sons Ltd.
  11. Dolsek, M. (2009), "Incremental dynamic analysis with consideration of modeling uncertainties", Earthq. Eng. Struct. Dyn., 38(6), 805-825. https://doi.org/10.1002/eqe.869.
  12. Ellingwood, B., Galambos, T.V., MacGregor, J.G. and Cornell, C.A. (1980), Development of A Probability-Based Load Criterion for American National Standard A58, National Bureau of Standards, Washington, DC.
  13. Farrokhi, F. and Rahimi, S. (2017), "Probabilistic failure analysis of high steel frames with tuned mass damper", XI Conference on Steel and Composite Construction, Coimbra, Portugal. https://doi.org/10.1002/cepa.550.
  14. FEMA 356 (2000), Prestandard and Commentary for the Seismic Rehabilitation of buildings, Washington DC.
  15. FEMA P58 (2012), Seismic Performance Assessment of Buildings, Applied Technology Council: Redwood City, CA.
  16. Gavin, H.P. and Yau, S.C. (2008), "High-order limit state functions in the response surface method for structural reliability analysis", Struct. Saf., 30(2), 162-179. https://doi.org/10.1016/j.strusafe.2006.10.003.
  17. Haj-Najafi, L. and Tehranizadeh, M. (2015), "Selecting Appropriate Intensity Measure in View of Efficiency", Civil Eng. Infrastr. J., 48(2), 251-269. https://doi.org/10.7508/CEIJ.2015.02.003.
  18. Kaplan, S., Perla, H.F. and Bley, D.C. (1983), "A Methodology for seismic risk analysis of nuclear power plants", Risk Anal., 3(3), 169-180. https://doi.org/10.1111/j.1539-6924.1983.tb00118.x.
  19. Karami, K., Manie, S., Ghafouri, K. and Nagarajaiah, S. (2019), "Nonlinear structural control using integrated DDA/ISMP and semi-active tuned mass damper", Eng. Struct., 181, 589-604. https://doi.org/10.1016/j.engstruct.2018.12.059.
  20. Kazantzi, A.K., Vamvatsikos, D. and Lignos D.G. (2014), "Seismic performance of a steel moment-resisting frame subjected to strength and ductility uncertainty", Eng. Struct., 78, 69-77. https://doi.org/10.1016/j.engstruct.2014.06.044.
  21. Kim Y. and Bai J.W. (2017), Seismic Fragility Analysis of Faulty Smart Structures, Eds. Papadrakakis, M., Plevris, V., Lagaros, N., Computational Methods in Earthquake Engineering. Computational Methods in Applied Sciences, Vol. 44, Springer, Cham.
  22. Landi, L., Vorabbi, C., Fabbri, O. and Diotallevi, P.P. (2017), "Simplified probabilistic seismic assessment of RC frames with added viscous dampers" Soil Dyn. Earthq. Eng., 97, 277-288. https://doi.org/10.1016/j.soildyn.2017.03.003.
  23. Lee, C.S., Goda, K. and Hong, H.P. (2012), "Effectiveness of using tuned-mass dampers in reducing seismic risk", Struct. Infrastr. Eng., 8(2), 141-156. https://doi.org/10.1080/15732470903419669.
  24. McKay, M.D., Beckman, R.J. and Conover, W.J. (1979), "A Comparison of three methods for selecting values of input variables in the analysis of output from a computer code", Technomet., 21(2), 239-245. https://doi.org/10.2307/1268522.
  25. Milosevic, J., Cattari, S. and Bento, R. (2019), "Definition of fragility curves through nonlinear static analyses: procedure and application to a mixed masonry-RC building stock", Bull. Earthq. Eng., https://doi.org/10.1007/s10518-019-00694-1.
  26. Minas, S. and Galasso, C. (2019), "Accounting for spectral shape in simplified fragility analysis of case-study reinforced concrete frames", Soil Dyn. Earthq. Eng., 119, 91-103. https://doi.org/10.1016/j.soildyn.2018.12.025.
  27. Nowak, A.S. and Collins, K.R. (2000), Reliability of Structures, 2nd Edition, McGraw-Hill.
  28. Pnevmatikos, N.G., Papagiannopoulos, G.A. and Papavasileiou, G.S. (2019), "Fragility curves for mixed concrete/steel frames subjected to seismic excitation", Soil Dyn. Earthq. Eng., 116, 709-713. https://doi.org/10.1016/j.soildyn.2018.09.037.
  29. Porter, K.A., Beck, J.L. and Shaikhutdinov, R.V. (2003), "Investigation of sensitivity of building loss estimates to major uncertain variables for the Van Nuys testbed", PEER Report, University of California, Berkley.
  30. Risi, R.D., Goda, K. and Tesfmariam, S. (2019), "Multi-dimensional damage measure for seismic reliability analysis", Struct. Saf., 78, 1-11. https://doi.org/10.1016/j.strusafe.2018.12.002.
  31. Sadek, F., Mohraz, B., Taylor, A.W. and Chung, R.M. (1997), "A method of estimating the parameters of tuned mass damper for seismic application", Earthq. Eng. Struct. Dyn., 26(6), 617-635. https://doi.org/10.1002/(SICI)1096-9845(199706)26:6<617::AID-EQE664>3.0.CO;2-Z.
  32. Santos, M.B.D. and Coelho, H.T. (2019), "Assessment of semi-active friction dampers in auxiliary mass dampers' suspension", Eng. Struct., 186(1), 356-368. https://doi.org/10.1016/j.engstruct.2019.01.088.
  33. Scozzese, F., Dall'Asta, A. and Tubaldi, E. (2019), "Seismic risk sensitivity of structures equipped with anti-seismic devices with uncertain properties", Struct. Saf., 77, 30-47. https://doi.org/10.1016/j.strusafe.2018.10.003.
  34. Shi, W., Wang, L., Lu, Z. and Gao, H. (2018), "Study on adaptive-passive and semi-active eddy current tuned mass damper with variable damping", Sustain., 10(1), 1-19. https://doi.org/10.3390/su10010099.
  35. Shoaei, P., Orimi, H.T. and Zahrai, M. (2018), "Seismic reliability-based design of inelastic base-isolated structures with lead-rubber bearing systems", Soil Dyn. Earthq. Eng., 115, 589-605. https://doi.org/10.1016/j.soildyn.2018.09.033.
  36. Shu, Z., Li, S., Sun, X. and He, M. (2017), "Performance-based seismic design of a pendulum tuned mass damper system", J. Earthq. Eng., 23(2), 334-355. https://doi.org/10.1080/13632469.2017.1323042.
  37. Silwal, B. and Ozbulut, O.E. (2018), "Aftershock fragility assessment of steel moment frames with self-centering dampers", Eng. Struct., 168, 12-22. https://doi.org/10.1016/j.engstruct.2018.04.071.
  38. Simoes, A.G., Bento, R., Lagomarsino, S., Cattari, S. and Lourenco, P.B. (2019), "Fragility functions for tall URM buildings around early 20th century in Lisbon. Part 1: methodology and application at building level", Int. J. Arch. Heritage, https://doi.org/10.1080/15583058.2019.1618974.
  39. Soltanieh, S., Memarpour, M.M. and Kilanehei, F. (2019), "Performance assessment of bridge-soil-foundation system with irregular configuration considering ground motion directionality effects", Soil Dyn. Earthq. Eng., 118, 19-34. https://doi.org/10.1016/j.soildyn.2018.11.006.
  40. Sues, R.K., Wen, Y.K. and Ang, A.H.S. (1985), "Stochastic evaluation of seismic structural performance", ASCE J. Struct. Eng., 111(6), 1204-1218. https://doi.org/10.1061/(ASCE)0733-9445(1985)111:6(1204).
  41. Sun, S., Yang, J., Du, H., Zhang, S., Yan, T., Nakano, M. and Li, W. (2018), "Development of magnetorheological elastomers-based tuned mass damper for building protection from seismic events", J. Intel. Mater. Syst. Struct., 29(8), 1777-1789. https://doi.org/10.1177/1045389X17754265.
  42. Taiyari, F., Mazzolani, F.M. and Bagheri, S. (2019), "Damage-based optimal design of friction dampers in multistory chevron braced steel frames", Soil Dyn. Earthq. Eng., 119, 11-20. https://doi.org/10.1016/j.soildyn.2019.01.004.
  43. Tang, N., Rongong, J.A. and Sims, N.D. (2018), "Design of adjustable Tuned Mass Dampers using elastomeric O-rings", J. Sound Vib., 433, 334-348. https://doi.org/10.1016/j.jsv.2018.07.025.
  44. Taylor, E. (2007), "The development of fragility relationships for controlled structures", Master Thesis, Washington University, St. Louis, United States.
  45. Tubaldi, E., Barbato, M. and Dall'Asta, A. (2014), "Performance-based seismic risk assessment for buildings equipped with linear and nonlinear viscous dampers", Eng. Struct., 78, 90-99. https://doi.org/10.1016/j.engstruct.2014.04.052.
  46. Vamvatsikos, D. and Cornell, C.A. (2002), "Incremental dynamic analysis", Earthq. Eng. Struct. Dyn., 31(3), 491-514. https://doi.org/10.1002/eqe.141
  47. Wang, Z., Gao, H., Wang, H. and Chen, Z. (2018), "Development of stiffness-adjustable tuned mass dampers for frequency retuning", Adv. Struct. Eng., 22(2), 473-485. https://doi.org/10.1177/1369433218791356.
  48. Wilbee, A.K., Pena, F., Condori, J., Sun., Z. and Dyke, S.J. (2015), "Fragility analysis of structures incorporating control systems", The 6th International Conference on Advances in Experimental Structural Engineering, University of Illinois, United States, Aug.
  49. Wong, K.K.F. and Harris, J.L. (2012), "Seismic damage and fragility analysis of structures with tuned mass dampers based on plastic energy", Struct. Des. Tall Spec. Build., 21(4), 296-310. https://doi.org/10.1002/tal.604.
  50. Xiang, N. and Alam, M.S. (2019), "Displacement-based seismic design of bridge bents retrofitted with various bracing devices and their seismic fragility assessment under near-fault and far-field ground motions", Soil Dyn. Earthq. Eng., 119, 75-90. https://doi.org/10.1016/j.soildyn.2018.12.023.
  51. Yang, J.N., Long, F.X. and Wong, D. (1988), "Optimal control of nonlinear structures", J. Appl. Mech., 55(4), 931-938. https://doi.org/10.1115/1.3173744.

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