DOI QR코드

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On the reduction of the number of required motions in the dynamic analysis using a refined spectral matching

  • Harati, Mojtaba (Department of Civil and Environmental Engineering, Colorado State University) ;
  • Mashayekhi, Mohammadreza (Faculty of Civil Engineering, K.N. Toosi University of Technology) ;
  • Mohammadnezhad, Hamid (Faculty of Civil, Water and Environmental Engineering, Shahid Beheshti University) ;
  • Jaberi, Hanieh (School of Railway Engineering, Iran University of Science and Technology) ;
  • Estekanchi, Homayoon E. (Department of Civil Engineering, Sharif University of Technology)
  • 투고 : 2021.02.05
  • 심사 : 2021.06.02
  • 발행 : 2021.10.25

초록

This study aims to show the efficiency of a proposed spectral matching technique for the reduction of required ground motions in the dynamic time history analysis. In this non-stationary spectral matching approach, unconstrained optimization is employed to adjust the signal to match a target spectrum. Adjustment factors of discrete wavelet transform (DWT) coefficients associated with the signals are then considered as decision variables and the Levenberg-Marquardt algorithm is employed to find the optimum values of DWT coefficients. This matching algorithm turns out to be quite effective in the spectral matching objective, where matching at multiple damping ratios can be readily achieved. First, the efficiency of the spectral matching procedure is investigated in a case study earthquake record and then compared with two conventional spectral matching methods. Results show considerable improvement in the matching accuracy which is accompanied by minimal changes in shaking characteristics of the original signal. In addition, it is shown that earthquake records matched with the proposed method can noticeably reduce the essential number of ground motions that are normally required for the dynamic analysis of a concrete dam as well as a shear wall system being considered here as the case study models. In this regard, it has been found that the number of required motions can be reduced by more than 80% when matched motions are selected to be used as the seismic inputs for the dynamic analysis.

키워드

과제정보

The authors would also like to thank all the efforts accomplished by the staffs working in the center of High-Performance Computing (HPC) at Sharif University of Technology for providing a reliable and fast platform for the required computational analyses of this project.

참고문헌

  1. Abrahamson, N.A. (1992), "Non-stationary spectral matching", Seismol. Res. Lett, 63(1), 30-30. https://www.researchgate.net/publication/281349196_Nonstationary_spectral_matching.
  2. Adekristi, A. and Eatherton, M.R. (2016), "Time-domain spectral matching of earthquake ground motions using broyden updating", J. Earthq. Eng., 20(5), 679-698. https://doi.org/10.1080/13632469.2015.1104753.
  3. Alexander, N.A., Chanerley, A.A., Crewe, A.J. and Bhattacharya, S. (2014), "Obtaining spectrum matching time series using a reweighted volterra series algorithm (RVSA)", Bull. Seismol. Soc. Amer., 104(4), 1663-1673. https://doi.org/10.1785/0120130198.
  4. ASCE/SEI 41 (2017), Seismic Evaluation and Retrofit of Existing Buildings, American Society of Civil Engineers, Reston, VA, U.S.A.
  5. Atik, L.A. and Abrahamson, N. (2010), "An improved method for nonstationary spectral matching", Earthq. Spectra, 26(3), 601-617. https://doi.org/10.1193/1.3459159.
  6. Atkinson, G.M. and Silva, W. (2000), "Stochastic modeling of California ground motions", Bull. Seismol. Soc. Amer., 90(2), 255-274. https://doi.org/10.1785/0119990064.
  7. Bazzurro, P. and Luco, N. (2006), "Do scaled and spectrum-matched near-source records produce biased nonlinear structural responses?", 8th U.S. National Conference on Earthquake Engineering, San Francisco, September.
  8. Bhasker, R. and Menon, A. (2020), "Torsional irregularity indices for the seismic demand assessment of RC moment resisting frame buildings", Struct., 26(August), 888-900. https://doi.org/10.1016/j.istruc.2020.05.018.
  9. Bommer, J.J. and Acevedo, A.B. (2004), "The use of real earthquake accelerograms as input to dynamic analysis", J. Earthq. Eng., 8(sup001), 43-91. https://doi.org/10.1080/13632460409350521.
  10. Boore, D. (1983), "Stochastic simulation of high-frequency ground motions based on seismological models of the radiated spectra", Bull. Seismol. Soc. Amer., 73(6), 1865-1894.
  11. Boore, D. (1999), "Effect of baseline corrections on response spectra for two recordings of the 1999 Chi-Chi, Taiwan, earthquake", Report 99-545, Earthquake Science Center, U.S. Geological Survey, Chichi, Taiwan. https://doi.org/10.3133/ofr99545.
  12. Boore, D. (2003), "Simulation of ground motion using the stochastic method", Pure Appl. Geophy., 160, 635-676. https://doi.org/10.1007/PL00012553.
  13. Bravo-Haro, M.A. and Elghazouli, A.Y. (2018), "Influence of earthquake duration on the response of steel moment frames", Soil Dyn. Earthq. Eng., 115(July), 634-651. https://doi.org/10.1016/j.soildyn.2018.08.027.
  14. Carballo-ArBvalo, J.E. (2000), Probabilistic Seismic Demand Analysis Spectrum Matching and Design, Ph.D. Dissertation, Stanford University, California.
  15. Daubechies, I. (1992), Ten Lectures on Wavelets, Society for Industrial and Applied Mathematics, Monpelier, Vermont.
  16. FEMA (2009), Quantification of building seismic performance factors, Federal Emergency Management Agency; Applied Technology Council and United States, US Department of Homeland Security, U.S.A.
  17. Galasso, C., Zhong, P., Zareian, F., Iervolino, I. and Graves R.W. (2013), "Validation of ground-motion simulations for historical events using MDOF systems", Earthq. Eng. Struct. Dyn., 42(9), 1395-1412. https://doi.org/10.1002/eqe.2278.
  18. Ghaemian, M., Noorzad, A. and Mohammadnezhad, H. (2019), "Assessment of foundation mass and earthquake input mechanism effect on dam-reservoir-foundation system response", Int. J. Civil Eng., 17(4), 473-480. https://doi.org/10.1007/s40999-018-0325-9.
  19. Hancock, J. and Bommer, J.J. (2007), "Using spectral matched records to explore the influence of strong-motion duration on inelastic structural response", Soil Dyn. Earthq. Eng., 27(4), 291-299. https://doi.org/10.1016/j.soildyn.2006.09.004.
  20. Hancock, J., Watson-Lamprey, J., Abrahamson, N.A., Bommer, J.J., Markatis, A., McCOYH, E. and Mendis, R. (2006), "An improved method of matching response spectra of recorded earthquake ground motion using wavelets", J. Earthq. Eng., 10(sup001), 67-89. https://doi.org/10.1080/13632460609350629.
  21. Harati, M., Mashayekhi, M., Ashoori Barmchi, M., Estekanchi, H.E. (2019), "Influence of ground motion duration on the structural response at multiple seismic intensity levels", J. Numer. Meth. Civil Eng., 3(4), 10-23. https://doi.org/10.29252/nmce.3.4.10.
  22. Iervolino, I. and Cornell, C.A. (2005), "Record selection for nonlinear seismic analysis of structures", Earthq. Spectra, 21(3), 685-713. https://doi.org/10.1193/1.1990199.
  23. Iervolino, I., De Luca, F. and Cosenza, E. (2010), "Spectral shape-based assessment of SDOF nonlinear response to real, adjusted and artificial accelerograms", Eng. Struct., 32(9), 2776-2792. https://doi.org/10.1016/j.engstruct.2010.04.047.
  24. Jayaram, N., Lin, T. and Baker, J.W. (2011), "A Computationally efficient ground-motion selection algorithm for matching a target response spectrum mean and variance", Earthq. Spectra, 27(3), 797-815. https://doi.org/10.1193/1.3608002.
  25. Kaul, M.K. (1978), "Spectrum-consistent time-history generation", J. Eng. Mech. Di., 104(4), 781-788. https://doi.org/10.1061/JMCEA3.0002379
  26. Lancieri, M., Bazzurro, P. and Scotti, O. (2018), "Spectral matching in time domain: A seismological and engineering analysis", Bull. Seismol. Soc. Amer., 108(4), 1972-1994. https://doi.org/10.1785/0120170396.
  27. Latifi, R. and Hadzima-Nyarko, M. (2021), "A comparison of structural analyses procedures for earthquake-resistant design of buildings", Earthq. Struct., 20(5), 531-542. https://doi.org/10.12989/eas.2021.20.5.531.
  28. Leger, P. and Leclerc, M. (1996), "Evaluation of earthquake ground motions to predict cracking response of gravity dams", Eng. Struct., 18(3), 227-239. https://doi.org/10.1016/0141-0296(95)00146-8.
  29. Leger, P. and Tremblay, R. (2009), "Earthquake ground motions for seismic damage assessment and re-evaluation of existing buildings", NATO Sci. Peace Security Series C: Environ. Security, https://doi.org/10.1007/978-90-481-2386-5_8.
  30. Levenberg, K. (1994), "A method for the solution of certain problems in least squares", Quarter. Appl. Mathem., 2(2), 164-168. https://doi.org/10.1090/qam/10666.
  31. Li, Y., Song, R., Van De Lindt, J.W. (2014), "Collapse fragility of steel structures subjected to earthquake mainshock- collapse fragility of steel structures subjected to earthquake mainshock-aftershock sequences", J. Struct. Eng., 140(12), 1-12. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001019.
  32. Lilhanand, K., Tseng, W.S. (1988), "Development and application of realistic earthquake time histories compatible with multiple-damping design spectra", Proceeding of Ninth World Conference on Earthquake Engineering, Tokyo-Kyoto, August.
  33. Marquardt, D. (1963), "An algorithm for least-squares estimation of nonlinear parameters", J. Soc. Ind. Appl. Mathem., 11(2), 431-441. https://doi.org/10.1137/0111030.
  34. Martinelli, P., Filippou, F.C. (2009), "Simulation of the shaking table test of a seven-storey shear wall building", Earthq. Eng. Struct. Dyn., 38(5), 587-607. https://doi.org/10.1002/eqe.897.
  35. Mashayekhi, M., Estekanchi, H.E. and Vafai, H. (2019c), "Simulation of Endurance Time excitations via wavelet transform", Iran. J. Sci. Technol. - Transact. Civil Eng., 43, 429-443. https://doi.org/10.1007/s40996-018-0208-y.
  36. Mashayekhi, M., Estekanchi, H.E., Vafai, H. and Mirfarhadi, S.A. (2018a), "Development of hysteretic energy compatible endurance time excitations and its application", Eng. Struct., 177(December), 753-769. https://doi.org/10.1016/j.engstruct.2018.09.089.
  37. Mashayekhi, M., Harati, M., Ashoori Barmchi, M., Estekanchi, H.E. (2019a), "Estimating the duration effects in structural responses by a new energy-cycle based parameter", 8th International Conference on Seismology & Earthquake Engineering (SEE8), Tehran, May.
  38. Mashayekhi, M., Harati, M., Ashoori Barmchi, M., Estekanchi, H.E. (2019b), "Introducing a response-based duration metric and its correlation with structural damages", Bull. Earthq. Eng., 17, 5987-6008. https://doi.org/10.1007/s10518-019-00716-y.
  39. Mashayekhi, M., Harati, M., Darzi, A., Estekanchi, H.E. (2020), "Incorporation of strong motion duration in incremental-based seismic assessments", Eng. Struct., 223(November), 1-23. https://doi.org/ 10.1016/j.engstruct.2020.111144.
  40. Mashayekhi, M., Mirfarhadi, S., Estekanchi, H.E. and Vafai, H. (2018b), "Predicting probabilistic distribution functions of response parameters using the endurance time method", Struct. Des. Tall Spec. Build., 28(1), e1553. https://doi.org/10.1002/tal.1553.
  41. MATHWORKS Inc. (2018), https://www.mathworks.com/.
  42. Mirzaee, A., Estekanchi, H.E. and Vafai, A. (2012), "Improved methodology for endurance time analysis: From time to seismic hazard return period", Scientia Iranica, 19(5), 1180-1187. https://doi.org/10.1016/j.scient.2012.06.023.
  43. Mohammadnezhad, H., Ghaemian, M. and Noorzad, A. (2019), "Seismic analysis of dam-foundation-reservoir system including the effects of foundation mass and radiation damping", Earthq. Eng. Eng. Vib., 18(1), 203-218. https://doi.org/10.1007/s11803-019-0499-4.
  44. Mohammadnezhad, H., Zafarani, H. and Ghaemian, M. (2019), "Domain reduction method for seismic analysis of dam-foundation-fault system", Scientia Iranica, 26(1), 145-156. https://doi.org/10.24200/sci.2018.20696.
  45. Mohebbi, M. and Bakhshinezhad, S. (2021), "Multiple performance criteria-based risk assessment for structures equipped with MR dampers", Earthq. Struct., 20(5), 495-512. https://doi.org/ 10.12989/eas.2021.20.5.495.
  46. Mohsenian, V., Filizadeh, R., Ozdemir, Z. and Hajirasouliha, I. (2020), "Seismic performance evaluation of deficient steel moment-resisting frames retrofitted by vertical link elements", Struct., 26(August), 724-736. https://doi.org/10.1016/j.istruc.2020.04.043.
  47. Naeim, F. and Lew, M. (1995), "On the use of design spectrum compatible time histories", Earthq. Spectra, 11(1), 111-127. https://doi.org/10.1193/1.1585805.
  48. Nakhaeim M. and Mohraz, B. (2010), "Damage-based spectral matching", Proceedings of the 9th U.S. National and 10th Canadian Conference on Earthquake Engineering, Toronto, July.
  49. Naseri, F. and Bagherzadeh Khalkhali, A. (2018), "Evaluation of seismic performance of concrete gravity dams under soil-structure-reservoir interaction exposed to vertical component of near-field earthquakes during impounding case study: pine flat dam", J. Civil Eng. Mater. Appl., 2(4), 181-191. https://doi.org/10.xxxxx/J.JCEMA.12020404. https://doi.org/10.xxxxx/J.JCEMA.12020404
  50. Preumont, A. (1984), "The generation of spectrum compatible accelerograms for the design of nuclear power plants", Earthq. Eng. Struct. Dyn., 12(4), 481-497. https://doi.org/10.1002/eqe.4290120405.
  51. Rizzo, P., Shaw, D. and Jarecki, S. (1975), "Development of real/synthetic time histories to match smooth design spectra", Nuclear Eng. Des., 32(1), 148-155. https://doi.org/10.1016/0029-5493(75)90096-5
  52. Saragoni, G.R. and Hart, G.C. (1973), "Simulation of artificial earthquakes", Earthq. Eng. Struct. Dyn., 2(3), 249-267. https://doi.org/10.1002/eqe.4290020305.
  53. Sarokolayi, L.K., Neya, B.N. and Amiri, J.V. (2015), "Structure-Earthquake Nonlinear dynamic analysis of concrete gravity dams considering rotational component of ground motion", Int. J. Civil Eng., 13(1), 16-29. https://doi.org/10.22068/IJCE.13.1.16.
  54. SEISMOSOFT Inc. (2016), https://seismosoft.com/SeismoMatch
  55. SEISMOSOFT Inc. (2018), https://seismosoft.com/SeismoStruct
  56. Shahbazian, A. and Pezeshk, S. (2010), "Improved velocity and displacement time histories in frequency domain spectral-matching procedures", Bull. Seismol. Soc. Amer., 100(6), 3213-3223. https://doi.org/10.1785/0120090163.
  57. Shahryari, H., Karami, M.R. and Chiniforush, A.A. (2019), "Summarized IDA curves by the wavelet transform and bees optimization algorithm", Earthq. Struct., 16(2), 165-175. https://doi.org/10.12989/eas.2019.16.2.165.
  58. Silva, W.J. and Lee, K. (1987), State-of-the-Art for Assessing Earthquake Hazards in the United States, Report No. 24: WES RASCAL Code for Synthesizing Earthquake Ground Motions; Woodward-Clyde Consultants, Walnut Creek, Ca, U.S.A.
  59. Sotoudeh, P., Ghaemian, M. and Mohammadnezhad, H. (2019), "Seismic analysis of reservoir-gravity dam-massed layered foundation system due to vertically propagating earthquake", Soil Dyn. Earthq. Eng., 116(January), 174-184. https://doi.org/10.1016/j.soildyn.2018.09.041.
  60. Suarez, L.E. and Montejo, L.A. (2003), "Generacion de registros artificiales compatibles con un espectro de respuesta mediante la transformada wavelet", II Congreso Nacional de Ingenieria Sismica, Medellin, Colombia (in Spanish), 1-24.
  61. Suarez, L.E. and Montejo, L.A. (2005), "Generation of artificial earthquakes via the wavelet transform", Int. J. Solids Structures, 42(21-22), 5905-5919. https://doi.org/10.1016/j.ijsolstr.2005.03.025.
  62. USACE (1995), Seismic design provisions for roller compacted concrete dams. Report No. EP-1110-2-12, United States Army Corps of Engineers; Washington, D.C., U.S.A.
  63. Watson-Lamprey, J.A. and Abrahamson, N.A. (2006), "Bias caused by use of spectrum compatible motions", 100th Anniversary Earthquake Conference Commemorating the 1906 San Francisco Earthquake, San Francisco, U.S.A., April.
  64. Xu, B., Wang, X., Pang, R. and Zhou, Y. (2018), "Influence of strong motion duration on the seismic performance of high CFRDs based on elastoplastic analysis", Soil Dyn. Earthq. Eng., 114(6), 438-447. https://doi.org/10.1016/j.soildyn.2018.08.004.
  65. Yaghmaei-Sabegh, S. (2021), "Evaluation of pulse effect on frequency content of ground motions and definition of a new characteristic period", Earthq. Struct., 20(4), 457-471. https://doi.org/ 10.12989/eas.2021.20.4.457.