Structural Engineering and Mechanics

  • 제81권4호
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  • Pages.429-441
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  • 2022
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Probabilistic study on buildings with MTMD system in different seismic performance levels

  • Etedali, Sadegh (Department of Civil Engineering, Birjand University of Technology)
  • 투고 : 2021.09.15
  • 심사 : 2021.11.09
  • 발행 : 2022.02.25
⟨ 이전 논문 다음 논문 ⟩

초록

A probabilistic assessment of the seismic-excited buildings with a multiple-tuned-mass-damper (MTMD) system is carried out in the presence of uncertainties of the structural model, MTMD system, and the stochastic model of the seismic excitations. A free search optimization procedure of the individual mass, stiffness and, damping parameters of the MTMD system based on the snap-drift cuckoo search (SDCS) optimization algorithm is proposed for the optimal design of the MTMD system. Considering a 10-story structure in three cases equipped with single tuned mass damper (STMS), 5-TMD and 10-TMD, sensitivity analyses are carried out using Sobol' indices based on the Monte Carlo simulation (MCS) method. Considering different seismic performance levels, the reliability analyses are done using MCS and kriging-based MCS methods. The results show the maximum structural responses are more affected by changes in the PGA and the stiffness coefficients of the structural floors and TMDs. The results indicate the kriging-based MCS method can estimate the accurate amount of failure probability by spending less time than the MCS. The results also show the MTMD gives a significant reduction in the structural failure probability. The effect of the MTMD on the reduction of the failure probability is remarkable in the performance levels of life safety and collapse prevention. The maximum drift of floors may be reduced for the nominal structural system by increasing the TMDs, however, the complexity of the MTMD model and increasing its corresponding uncertainty sources can be caused a slight increase in the failure probability of the structure.

키워드

참고문헌

  1. Andrews, B.M., Song, J. and Fahnestock, L.A. (2009), "Assessment of buckling-restrained braced frame reliability using an experimental limit-state model and stochastic dynamic analysis", Earthq. Eng. Eng. Vib., 8(3), 373-385. https://doi.org/10.1007/s11803-009-9013-8.
  2. Araz, O. and Kahya, V. (2020), "Series tuned mass dampers in vibration control of continuous railway bridges", Struct. Eng. Mech., 73(2), 133-141. http://doi.org/10.12989/sem.2020.73.2.133.
  3. Bakre, S.V. and Jangid, R.S. (2004), "Optimum multiple tuned mass dampers for base-excited damped main system", Int. J. Struct. Stab. Dyn., 4(04), 527-542. https://doi.org/10.1142/S0219455404001367.
  4. Bakre, S.V. and Jangid, R.S. (2007), "Optimum parameters of tuned mass damper for damped main system", Struct. Control Hlth. Monit., 14(3), 448-470. https://doi.org/10.1002/stc.166.
  5. Bandivadekar, T.P. and Jangid, R.S. (2013), "Optimization of multiple tuned mass dampers for vibration control of system under external excitation", J. Vib. Control, 19(12), 1854-1871. https://doi.org/10.1177/1077546312449849.
  6. Bhowmik, K. and Debnath, N. (2021), "Stochastic structural Optimization of Multiple Tuned Mass Damper (MTMD) system with uncertain bounded parameters", Adv. Struct. Technol., 381-392. https://doi.org/10.1007/978-981-15-5235-9_28.
  7. Bozer, A. and Ozsariyildiz, S.S. (2018), "Free parameter search of multiple tuned mass dampers by using artificial bee colony algorithm", Struct. Control Hlth. Monit., 25(2), e2066. https://doi.org/10.1002/stc.2066.
  8. Building and Housing Research Center (BHRC), Iranian Code of Practice for Seismic Resistant Design of Buildings, Standard No. 2800, 4th Edition, Building and Housing Research Center, Tehran, Iran.
  9. Caicedo, D., Lara-Valencia, L., Blandon, J. and Graciano, C. (2021), "Seismic response of high-rise buildings through metaheuristic-based optimization using tuned mass dampers and tuned mass dampers inerter", J. Build. Eng., 34, 101927. https://doi.org/10.1016/j.jobe.2020.101927.
  10. Chakraborty, S. and Roy, B.K. (2011), "Reliability based optimum design of tuned mass damper in seismic vibration control of structures with bounded uncertain parameters", Prob. Eng. Mech., 26(2), 215-221. https://doi.org/10.1016/j.probengmech.2010.07.007.
  11. Clough, R.W. and Penzien, J. (2003), Dynamics of Structures, McGraw-Hill, New York.
  12. Colherinhas, G.B., de Morais, M.V., Shzu, M.A. and Avila, S.M. (2019), "Optimal pendulum tuned mass damper design applied to high towers using genetic algorithms: Two-DOF modeling", Int. J. Struct. Stab. Dyn., 19(10), 1950125. https://doi.org/10.1142/S0219455419501256.
  13. Debbarma, R. and Debnath, D. (2013), "Earthquake response control of 3-Story building structures by tuned mass damper", Int. J. Eng. Innov. Technol., 2, 187-192.
  14. Debbarma, R., Chakraborty, S. and Ghosh, S. (2010), "Unconditional reliability-based design of tuned liquid column dampers under stochastic earthquake load considering system parameters uncertainties", J. Earthq. Eng., 14(7), 970-988. https://doi.org/10.1080/13632461003611103.
  15. Eckhardt, R., Ulam, S. and Von Neumann, J. (1987), "The Monte Carlo method", Los Alamos Sci., 15, 131.
  16. Elias, S., Matsagar, V. and Datta, T.K. (2019), "Dynamic response control of a wind-excited tall building with distributed multiple tuned mass dampers", Int. J. Struct. Stab. Dyn., 19(06), 1950059. https://doi.org/10.1142/S0219455419500597.
  17. Etedali, S. and Mollayi, N. (2018), "Cuckoo search-based least squares support vector machine models for optimum tuning of tuned mass dampers", Int. J. Struct. Stab. Dyn., 18(02), 1850028. https://doi.org/10.1142/S0219455418500281.
  18. Etedali, S. and Rakhshani, H. (2018), "Optimum design of tuned mass dampers using multi-objective cuckoo search for buildings under seismic excitations", Alex. Eng. J., 57(4), 3205-3218. https://doi.org/10.1016/j.aej.2018.01.009.
  19. Etedali, S., Akbari, M. and Seifi, M. (2019), "MOCS-based optimum design of TMD and FTMD for tall buildings under near-field earthquakes including SSI effects", Soil Dyn. Earthq. Eng., 119, 36-50. https://doi.org/10.1016/j.soildyn.2018.12.027.
  20. Etedali, S., Bijaem, Z.K., Mollayi, N. and Babaiyan, V. (2021), "Artificial intelligence-based prediction models for optimal design of tuned mass dampers in damped structures subjected to different excitations", Int. J. Struct. Stab. Dyn., 21(9), 2150120. https://doi.org/10.1142/S0219455421501200.
  21. Etedali, S., Seifi, M. and Akbari, M. (2018), "A numerical study on optimal FTMD parameters considering soil-structure interaction effects", Geomech. Eng., 16(5), 527-538. https://doi.org/10.12989/gae.2018.16.5.527.
  22. Etedali, S., Zamani, A.A. and Tavakoli, S. (2018), "A GBMObased PIλDμ controller for vibration mitigation of seismicexcited structures", Autom. Construct., 87, 1-12. https://doi.org/10.1016/j.autcon.2017.12.005.
  23. Fadel Miguel, L.F., Lopez, R.H., Miguel, L.F.F. and Torii, A.J. (2016), "A novel approach to the optimum design of MTMDs under seismic excitations", Struct. Control Hlth. Monit., 23(11), 1290-1313. https://doi.org/10.1002/stc.1845.
  24. Farrokhi, F. and Rahimi, S. (2017), "Probabilistic failure analysis of high steel frames with tuned mass damper", ce/papers, 1(4), 507-514. https://doi.org/10.1002/cepa.550
  25. Farshidianfar, A. and Soheili, S. (2013), "Ant colony optimization of tuned mass dampers for earthquake oscillations of high-rise structures including soil-structure interaction", Soil Dyn. Earthq. Eng., 51, 14-22. https://doi.org/10.1016/j.soildyn.2013.04.002.
  26. FEMA 273 (1997), Seismic Rehabilitation Guidelines, Federal Emergency Management Agency.
  27. Gholizad, A. and Ojaghzadeh Mohammadi, S.D. (2017), "Reliability-based design of tuned mass damper using Monte Carlo simulation under artificial earthquake records", Int. J. Struct. Stab. Dyn., 17(10), 1750121. https://doi.org/10.1142/S0219455417501218.
  28. Han, B. and Li, C. (2008), "Characteristics of linearly distributed parameter-based multiple-tuned mass dampers", Struct. Control Hlth. Monit., 15(6), 839-856. https://doi.org/10.1002/stc.222.
  29. Hosseinaei, S., Ghasemi, M.R. and Etedali, S. (2021), "Optimal design of passive and active Control systems in seismic-excited structures using a new modified TLBO", Periodica Polytechnica Civil Eng., 65(1), 37-55. https://doi.org/10.3311/PPci.16507.
  30. Hurtado Gomez, J.E. (2010), "Reliability problems in earthquake engineering", Centre Internacional de Metodes Numerics en Enginyeria (CIMNE).
  31. Janon, A., Klein, T., Lagnoux, A., Nodet, M. and Prieur, C. (2014), "Asymptotic normality and efficiency of two sobol index estimators", ESAIM: Prob. Stat., 18, 342-364. https://doi.org/10.1051/ps/2013040.
  32. Keshtegar, B. and Etedali, S. (2016), "Novel mathematical models based on regression analysis scheme for optimum tuning of TMD parameters", J. Solid Fluid Mech., 6(4), 59-75. https://doi.org/10.22044/jsfm.2017.864
  33. Keshtegar, B. and Etedali, S. (2018), "Nonlinear mathematical modeling and optimum design of tuned mass dampers using adaptive dynamic harmony search algorithm", Struct. Control Hlth. Monit., 25(7), e2163. https://doi.org/10.1002/stc.2163.
  34. Keshtegar, B. and Hao, P. (2018), "Enriched self-adjusted performance measure approach for reliability-based design optimization of complex engineering problems", Appl. Math. Model., 57, 37-51. https://doi.org/10.1016/j.apm.2017.12.030.
  35. Koehler, J.R. and Owen, A.B. (1996), "9 Computer experiments", Des. Anal. Exp., 13, 261-308. https://doi.org/10.1016/S0169-7161(96)13011-X.
  36. Kumar, R.R., Pandey, K.M. and Dey, S. (2019), "Probabilistic assessment on buckling behavior of sandwich panel: A radial basis function approach", Struct. Eng. Mech., 71(2), 197-210. http://doi.org/10.12989/sem.2019.71.2.197.
  37. Lai, S.S.P. (1982), "Statistical characterization of strong ground motions using power spectral density function", Bull. Seismol. Soc. Am., 72(1), 259-274. https://doi.org/10.1785/BSSA0720010259.
  38. Leung, A.Y.T. and Zhang, H. (2009), "Particle swarm optimization of tuned mass dampers", Eng. Struct., 31(3), 715-728. https://doi.org/10.1016/j.engstruct.2008.11.017.
  39. Li, C. and Liu, Y. (2003), "Optimum multiple tuned mass dampers for structures under the ground acceleration based on the uniform distribution of system parameters", Earthq. Eng. Struct. Dyn., 32(5), 671-690. https://doi.org/10.1002/eqe.239.
  40. Li, H.N. and Ni, X.L. (2007), "Optimization of non-uniformly distributed multiple tuned mass damper", J. Sound Vib., 308(1-2), 80-97. https://doi.org/10.1016/j.jsv.2007.07.014 .
  41. Lin, C.C., Lin, G.L. and Chiu, K.C. (2017), "Robust design strategy for multiple tuned mass dampers with consideration of frequency bandwidth", Int. J. Struct. Stab. Dyn., 17(01), 1750002. https://doi.org/10.1142/S021945541750002X.
  42. Marano, G.C., Greco, R. and Sgobba, S. (2010), "A comparison between different robust optimum design approaches: Application to tuned mass dampers", Prob. Eng. Mech., 25(1), 108-118. https://doi.org/10.1016/j.probengmech.2009.08.004.
  43. Marano, G.C., Greco, R., Trentadue, F. and Chiaia, B. (2007), "Constrained reliability-based optimization of linear tuned mass dampers for seismic control", Int. J. Solid. Struct., 44(22-23), 7370-7388. https://doi.org/10.1016/j.ijsolstr.2007.04.012.
  44. Marano, G.C., Sgobba, S., Greco, R. and Mezzina, M. (2008), "Robust optimum design of tuned mass dampers devices in random vibrations mitigation", J. Sound Vib., 313(3-5), 472-492. https://doi.org/10.1016/j.ijsolstr.2007.04.012 .
  45. Mirzai, N.M., Zahrai, S.M. and Bozorgi, F. (2017), "Proposing optimum parameters of TMDs using GSA and PSO algorithms for drift reduction and uniformity", Struct. Eng. Mech., 63(2), 147-60. http://doi.org/10.12989/sem.2017.63.2.147 .
  46. Mitchell, T.J. and Morris, M.D. (1992), "Bayesian design and analysis of computer experiments: two examples", Statistica Sinica, 2(2), 359-379.
  47. Moayyad, P. and Mohraz, B. (1982), "A study of power spectral density of earthquake accelerograms", Technical Report, Civil and Mechanical Engineering Department, Southern Methodist University, Dallas, TX.
  48. Mohebbi, M., Shakeri, K., Ghanbarpour, Y. and Majzoub, H. (2013), "Designing optimal multiple tuned mass dampers using genetic algorithms (GAs) for mitigating the seismic response of structures", J. Vib. Control, 19(4), 605-625. https://doi.org/10.1177/1077546311434520 .
  49. Nguyen, H.D., Shin, M. and Torbol, M. (2020), "Reliability assessment of a planar steel frame subjected to earthquakes in case of an implicit limit-state function", J. Build. Eng., 32, 101782. https://doi.org/10.1016/j.jobe.2020.101782 .
  50. Nowak, A.S. and Collins, K.R. (2012), Reliability of Structures, CRC Press.
  51. Patil, V.B. and Jangid, R.S. (2011), "Optimum multiple tuned mass dampers for the wind excited benchmark building", J. Civil Eng. Manage., 17(4), 540-557. http://doi.org/10.3846/13923730.2011.619325
  52. Pourzeynali, S., Salimi, S. and Kalesar, H.E. (2013), "Robust multi-objective optimization design of TMD control device to reduce tall building responses against earthquake excitations using genetic algorithms", Scientia Iranica, 20(2), 207-221. https://doi.org/10.1016/j.scient.2012.11.015 .
  53. Rahman, M.S., Islam, M.S., Do, J. and Kim, D. (2017), "Response surface methodology based multi-objective optimization of tuned mass damper for jacket supported offshore wind turbine", Struct. Eng. Mech., 63(3), 303-315. http://doi.org/10.12989/sem.2017.63.3.303 .
  54. Rakhshani, H. and Rahati, A. (2017), "Snap-drift cuckoo search: A novel cuckoo search optimization algorithm", Appl. Soft Comput., 52, 771-794. https://doi.org/10.1016/j.asoc.2016.09.048.
  55. Ramezani, M., Bathaei, A. and Ghorbani-Tanha, A.K. (2018), "Application of artificial neural networks in optimal tuning of tuned mass dampers implemented in high-rise buildings subjected to wind load", Earthq. Eng. Eng. Vib., 17(4), 903-915. https://doi.org/10.1007/s11803-018-0483-4 .
  56. Rashki, M. (2018), "Hybrid control variates-based simulation method for structural reliability analysis of some problems with low failure probability", Appl. Math. Model., 60, 220-234. https://doi.org/10.1016/j.apm.2018.03.009 .
  57. Salvi, J. and Rizzi, E. (2016), "Closed-form optimum tuning formulas for passive Tuned Mass Dampers under benchmark excitations", Smart Struct. Syst., 17(2), 231-256. https://doi.org/10.12989/sss.2016.17.2.231.
  58. Shahi, M., Sohrabi, M.R. and Etedali, S. (2018), "Seismic control of high-rise buildings equipped with ATMD including soil-structure interaction effects", J. Earthq. Tsunami, 12(03), 1850010. https://doi.org/10.1142/S1793431118500100.
  59. Sobol, I.M. (1993), "Sensitivity estimates for nonlinear mathematical models", Math. Comput. Model., 1(4), 407-414.
  60. Sues, R.H., Wen, Y.K. and Ang, A.H.S. (1985), "Stochastic evaluation of seismic structural performance", J. Struct. Eng., 111(6), 1204-1218. https://doi.org/10.1061/(ASCE)0733-9445(1985)111:6(1204).
  61. Vaez, S.R.H., Mehanpour, H. and Fathali, M.A. (2020), "Reliability assessment of truss structures with natural frequency constraints using metaheuristic algorithms", J. Build. Eng., 28, 101065. https://doi.org/10.1016/j.jobe.2019.101065.
  62. Vanmarcke, E.H. and Lai, S.S.P. (1980), "Strong-motion duration and RMS amplitude of earthquake records", Bull. Seismol. Soc. Am., 70(4), 1293-1307. https://doi.org/10.1785/BSSA0700041293.
  63. Xu, J. and Li, J. (2016), "Stochastic dynamic response and reliability assessment of controlled structures with fractional derivative model of viscoelastic dampers", Mech. Syst. Signal Pr., 72, 865-896. https://doi.org/10.1016/j.ymssp.2015.11.016.
  64. Yang, F., Sedaghati, R. and Esmailzadeh, E. (2015), "Optimal design of distributed tuned mass dampers for passive vibration control of structures", Struct. Control Hlth. Monit., 22(2), 221-236. https://doi.org/10.1002/stc.1670.
  65. Yu, H., Gillot, F. and Ichchou, M. (2013), "Reliability based robust design optimization for tuned mass damper in passive vibration control of deterministic/uncertain structures", J. Sound Vib., 332(9), 2222-2238. https://doi.org/10.1016/j.jsv.2012.12.014.
  66. Yucel, M., Bekdas, G., Nigdeli, S.M. and Sevgen, S. (2019), "Estimation of optimum tuned mass damper parameters via machine learning", J. Build. Eng., 26, 100847. https://doi.org/10.1016/j.jobe.2019.100847