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Studying the Park-Ang damage index of reinforced concrete structures based on equivalent sinusoidal waves

  • Mazloom, Moosa (Department of Civil Engineering, Shahid Rajaee Teacher Training University) ;
  • Pourhaji, Pardis (Department of Civil Engineering, Iran University of Science and Technology) ;
  • Shahveisi, Masoud (Department of Civil Engineering, Shahid Rajaee Teacher Training University) ;
  • Jafari, Seyed Hassan (Department of Civil Engineering, Shahid Rajaee Teacher Training University)
  • Received : 2018.06.07
  • Accepted : 2019.05.07
  • Published : 2019.10.10

Abstract

In this research, the vulnerability of some reinforced concrete frames with different stories are studied based on the Park-Ang Damage Index. The damages of the frames are investigated under various earthquakes with nonlinear dynamic analysis in IDARC software. By examining the most important characteristics of earthquake parameters, the damage index and vulnerability of these frames are investigated in this software. The intensity of Erias, velocity spectral intensity (VSI) and peak ground velocity (PGV) had the highest correlation, and root mean square of displacement ($D_{rms}$) had the lowest correlation coefficient among the parameters. Then, the particle swarm optimization (PSO) algorithm was used, and the sinusoidal waves were equivalent to the used earthquakes according to the most influential parameters above. The damage index equivalent to these waves is estimated using nonlinear dynamics analysis. The comparison between the damages caused by earthquakes and equivalent sinusoidal waves is done too. The generations of sinusoidal waves equivalent to different earthquakes are generalized in some reinforced concrete frames. The equivalent sinusoidal wave method was exact enough because the greatest difference between the results of the main and artificial accelerator damage index was about 5 percent. Also sinusoidal waves were more consistent with the damage indices of the structures compared to the earthquake parameters.

Keywords

References

  1. Alvanitopoulos P.F., Andreadis I. and Elenas A. (2010) "Interdependence between damage indices and ground motion parameters based on Hilbert-Huang transform", Measure. Sci. Technol., 21(2), 025101-025115. https://doi.org/10.1088/0957-0233/21/2/025101.
  2. Artar M. (2016), "Optimum design of steel space frames under earthquake effect using harmony search" Struct. Eng. Mech., 58(3), 597-612. https://doi.org/10.12989/sem.2016.58.3.597.
  3. Banon H., Veneziano D. (1982), "Seismic safety of reinforced concrete members and structures", Earthq. Eng. Struct. Dynam., 10(2), 179-193. https://doi.org/10.1002/eqe.4290100202.
  4. Bas S. and Kalkan I. (2016), "The effects of vertical earthquake motion on a R/C structure", Struct. Eng. Mech., 59(4), 719-737. https://doi.org/10.12989/sem.2016.59.4.719.
  5. Basack S. and Nimbalkar S. (2017), "Free strain analysis of the performance of vertical DRAINs for soft soil improvement", Geomech. Eng., 13(6), 963-975. https://doi.org/10.12989/gae.2017.13.6.963.
  6. BHRC (2017), Building and Housing Research Center, Ministry of Roads and City Planning, Tehran, Iran. www.bhrc.ac.ir
  7. Cabanas L., Bonito B. and Herraiz M. (1997), "An Approach for theMeasurement of the Potential Structural Damage of Earthquake Ground Motions", Earthq. Eng. Struct. Dynam., 26(1), 79-92. https://doi.org/10.1002/(SICI)1096-9845(199701)26:1%3C79::AID-EQE624%3E3.0.CO;2-Y.
  8. Cantagallo, C., Camata, G. and Spacone, E. (2019) "A Probabilitybased Approach for the Definition of the Expected Seismic Damage Evaluated with Non-linear Time-History Analyses", J. Earthq. Eng.. 23(2), 261-283. https://doi.org/10.1080/13632469.2017.1323043.
  9. Cantagallo,C., Camata, G. and Spacone, E. (2019) "A probabilitybased approach for the definition of the expected seismic damage evaluated with non-linear time-history analyses", J. Earthq. Eng., 23(2), 261-283. https://doi.org/10.1080/13632469.2017.1323043.
  10. Cao V. and Raonagh H. (2014), "Correlation between seismic parameters of far-fault motions and damage indices of low-rise reinforced concrete frames", Soil Dynam. Earthq. Eng., 66, 102-112. https://doi.org/10.1016/j.soildyn.2014.06.020.
  11. Chatterjee S., Sarkar S., Hore S., Dey N., Ashour A. and Balas V. (2016), "Particle swarm optimization trained neural network for structure failure prediction of multistoried RC buildings", Neural Comput. Appl., 28(8), 2005-2016. https://doi.org/10.1007/s00521-016-2190-2.
  12. Chen j., Shu W. and Huang H. (2017), "Rate-dependent progressive collapse resistance of beam-to-column connections with different seismic details", J. Perform. Construct. Facilities, 31(2). https://doi.org/10.1061/(ASCE)CF.1943-5509.0000922.
  13. Chen Z. and Yu L. (2017), "A novel pso-based algorithm for structural damage detection using Bayesian multi-sample objective function", Struct. Eng. Mech., 63(6), 825-835. https://doi.org/10.12989/sem.2017.63.6.825.
  14. Chen Z., Shi C., Li T. and Yuan Y. (2012), "Damage characteristic and influence factors of mountain tunnels under strong Earthquakes", Natural Hazards, 61(2), 387-401. https://doi.org/10.1007/s11069-011-9924-3.
  15. Chen, Z. and Yu, L. (2017), "A novel PSO-based algorithm for structural damage detection using Bayesian multi-sample objective function", Struct. Eng. Mech., 63 (6), 825-835. https://doi.org/10.12989/sem.2017.63.6.825.
  16. Colombo A. and Negro P. (2005), "A damage index of generalized applicability", Eng. Struct., 27(8), 1164-1174. https://doi.org/10.1016/j.engstruct.2005.02.014.
  17. Elenas A. (1997), "Interdependency between seismic acceleration Parameters and the behaviour of structures", Soil Dynam. Earthq. Eng., 16(5), 317-322. https://doi.org/10.1016/S0267-7261(97)00005-5.
  18. Elenas A. (2000), "Correlation between seismic acceleration parameters and overall structural damage indices of buildings", Soil Dynam. Earthq. Eng., 20(1), 93-100. https://doi.org/10.1016/S0267-7261(00)00041-5.
  19. Elenas A. and Liolios A. (1995), "Earthquake induced nonlinear behavior of reinforced concrete frame structures in relation with characteristic acceleration parameters", Proceedings of the 5th International Conference on Seismic Zonation, Nice, October.
  20. Elenas A. and Meskouris K. (2001), "Correlation study between seismic acceleration parameters and damage indices of structures", Eng. Struct., 23(6), 698-704. https://doi.org/10.1016/S0141-0296(00)00074-2.
  21. Elenas A., Liolios A. and Vasiliadis L. (1995), "Earthquake Induced nonlinear behavior of structures in relation with characteristic acceleration parameters", Proceedings of the 10th European conference on earthquake engineering, Vienna, August.
  22. Erdem H. (2010), "Prediction of moment capacity of reinforced concrete slabs in fire using artificial neural networks", Adv. Eng. Software, 41(2), 270-276. https://doi.org/10.1016/j.advengsoft.2009.07.006.
  23. Federal Emergency Management Agency (2000), Prestandard and commentary for the seismic rehabilitation of buildings: FEMA-356, Washington (DC), USA.
  24. Habibi, A., Izadpanah, M. (2017), "Improving the linear flexibility distribution model to simultaneously account for gravity and lateral loads", Comput. Concrete, 20 (1), 11-22. https://doi.org/10.12989/cac.2017.20.1.011.
  25. Habibi, A.., Izadpanah, M. (2012), "New method for the design of reinforced concrete moment resisting frames with damage control", Scientia Iranica, 19(2), 234-241. https://doi.org/10.1016/j.scient.2012.02.007.
  26. Habibi, A.Jami,E. (2017), "Correlation between ground motion parameters and target displacement of steel structures", J. Civil Eng., 15, 163-174. https://doi.org/10.1007/s40999-016-0084-4.
  27. Habibi, A.R., Izadpanah, M., Yazdani, A. (2013), "Inelastic damage analysis of RCMRFs using pushover method", Iran. J. Sci. Technol., 37(C2), 345-352.
  28. Habibi,A. and Asadi, K. (2017), "Development of drift-based damage index for reinforced concrete moment resisting frames with setback", J. Civil Eng., 37(2),345-352. https://doi.org/10.1007/s40999-016-0085-3.
  29. Hajela P. and Berke L. (1991), "Neurobiological computational models in structural analysis and design", Comput. Struct., 41(4), 657-667. https://doi.org/10.1016/0045-7949(91)90178-O.
  30. Housner G. W. and Jennings P. C. (1964), "Generation of artificial earthquakes", J. Eng. Mech. Division, 90(1), 113-152. https://doi.org/10.1061/JMCEA3.0000448
  31. Izadpanah, M., Habibi, A. (2018), "New spread plasticity model for reinforced concrete structural elements accounting for both gravity and lateral load effects", J Struct. Eng. ASCE, 144(5): 04018028. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002016.
  32. Izadpanaha M. and Habibi A. (2015), "Evaluating the spread plasticity model of IDARC for inelastic analysis of reinforced concrete frames", Struct. Eng. Mech., 56(2), 169-188. https://doi.org/10.12989/sem.2015.56.2.169.
  33. Jakubek M. (2017), "Neural network prediction of load capacity for eccentrically loaded reinforced concrete columns", Computer Assisted Methods Eng. Sci., 19(4), 339-349. https://cames.ippt.pan.pl/index.php/cames/article/view/84.
  34. Kappos A. J. (1997), "Seismic damage indices for RC buildings: evaluation of concepts and procedures", Struct. Eng. Mater., 1(1), 78-87. https://doi.org/10.1002/pse.2260010113.
  35. Karamloo, M., Mazloom, M. and Payganeh, G. (2017) "Effect of size on nominal strength of self-compacting lightweight concrete and self-compacting normal weight concrete: A stress-based approach", Mater. Today Communications, 13, 36-45. https://doi.org/10.1016/j.mtcomm.2017.08.002.
  36. Kennedy J. and Eberhart R. (1995), "Particle Swarm Optimization," Proceeding of the IEEE International Conference on Neural Networks, Perth, November.
  37. Kim H. and Chung C. (2016), "Integrated system for site-specific earthquake hazard assessment with geotechnical spatial grid information based on GIS", Natural Hazards, 82(2), 981-1007. https://doi.org/10.1007/s11069-016-2230-3.
  38. Lagaros N. D., Papadrakakis M. (2012), "Neural network based prediction schemes of the non-linear seismic response of 3D buildings", Adv. Eng. Software, 44(1), 92-115. https://doi.org/10.1016/j.advengsoft.2011.05.033.
  39. Massumi A. and Gholami F (2016), "The influence of seismic intensity parameters on structural damage of RC buildings using principal components analysis", Appl. Math. Model., 40(3), 2161-2176. https://doi.org/10.1016/j.apm.2015.09.043.
  40. Mazloom, M. and Mahboubi, F. (2017), "Evaluating the settlement of lightweight coarse aggregate in self-compacting lightweight concrete", Comput. Concrete, 19(2), 203-210. https://doi.org/10.12989/cac.2017.19.2.203.
  41. Mazloom, M. and Ranjbar, A. (2010), "Relation between the workability and strength of self-compacting concrete", 35th Conference on Our World in concrete & Structures, Singapore, August.
  42. Mazloom, M., Saffari, A. and Mehrvand, M. (2015) "Compressive, shear and torsional strength of beams made of self-compacting concrete", Comput. Concrete, 15(6), 935-950. https://doi.org/10.12989/cac.2015.15.6.935.
  43. Mirzai, N., Zahrai, 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), 147-160. https://doi.org/10.12989/sem.2017.63.2.147.
  44. Mohebi, B., Chegini, A. and Miri. A. (2019), "A new damage index for steel MRFs based on incremental dynamic analysis", J. Construct. Steel Res., 156, 137-154. https://doi.org/10.1016/j.jcsr.2019.02.005.
  45. Ozmen H. B. and Inel M. (2016), "Damage potential of earthquake records for RC building stock", Earthq. Struct., 10(6), 1315-1330. http://dx.doi.org/10.12989/eas.2016.10.6.1315.
  46. Park Y. J. and Ang A. H. S. (1985), "Mecha nistic Seismic Damage Model for Reinforced Concrete", J. Struct. Eng. ASCE, 111(4), 722-739. https://doi.org/10.1061/(ASCE)0733-9445(1985)111:4(722).
  47. Park Y. J., Ang A. H. S. and En Y. W. W. (1988), "Seismic damage analysis of reinforced concrete buildings", Proceedings of 9th world Conference on Earthquake Engineering, Tokyo-Kyoto ,August.
  48. Plevris V. and Papadrakakis M. (2011), "A hybrid particle swarmgradient algorithm for global structural optimization", Computer-Aided Civil Infrastruct. Eng., 26(1), 48-68. https://doi.org/10.1111/j.1467-8667.2010.00664.x.
  49. Rahman M. S., Chang S. and Kim D. (2017), "Multiple wall dampers for multi-mode vibration control of building structures under earthquake excitation", Struct. Eng. Mech., 63(4), 537-549. https://doi.org/10.12989/sem.2017.63.4.537.
  50. Roudak M., and Karamloo, M. (2019), "Establishment of nonnegative constraint method as a robust and efficient first-order reliability method", Appl. Math. Model., 68, 281-305. https://doi.org/10.1016/j.apm.2018.11.021.
  51. Roudak, M., Shayanfar, M. and Karamloo, M. (2018), "Improvement in first-order reliability method using an adaptive chaos control factor", Structures, 16, 150-156. https://doi.org/10.1016/j.istruc.2018.09.010.
  52. Roudak, M., Shayanfar, M., Barkhordari, M. and Karamloo, M. (2017), "A robust approximation method for nonlinear cases of structural reliability analysis", J. Mech. Sci., 133, 11-20. https://doi.org/10.1016/j.ijmecsci.2017.08.038.
  53. Roudak, M., Shayanfar, M., Barkhordari, M. and Karamloo, M. (2017), "A new three-phase algorithm for computation of reliability index and its application in structural mechanics", Mech. Res. Communications, 85, 53-60. https://doi.org/10.1016/j.mechrescom.2017.08.008.
  54. Shayanfar, M., Barkhordari, M. and Roudak, M. (2018), "A new effective approach for computation of reliability index in nonlinear problems of reliability analysis", Communications in Nonlinear Sci. Numeric. Simulation, 60, 184-202. https://doi.org/10.1016/j.cnsns.2018.01.016.
  55. Standard No. 2800-05 (2015), Iranian Code of Practice for seismic Resistant Design of Buildings, Building and Housing Research Center, Tehran, Iran.
  56. Steven L. Kramer (1996), Geotechnical Earthquake Engineering, Prentice-Hall International Series in Civil Engineering and Engineering Mechanics, Upper Saddle River, New Jersey, USA.
  57. Valles R. E., Reinhorn A. M., Kunnath S. K., Li C. and Madan A. (1996), IDARC2D, Version 4.0: A Computer Program for the Inelastic Damage Analysis of Buildings, National Center for Earthquake Engineering Research, New York, NY, USA.
  58. Vui V. C., Raonagh H. R. (2014), "Correlation between seismic parameters of far-fault motions and damage indices of low-rise reinforced concrete frames", Soil Dynam. Earthq. Eng., 66, 102-111. https://doi.org/10.1016/j.soildyn.2014.06.020.
  59. Zarghami, E., Azemati, H., Fatourehchi, D. and Karamloo, M. (2018), "Customizing well-known sustainability assessment tools for Iranian residential buildings using Fuzzy Analytic Hierarchy Process", Building and Environment, 128, 107-128. https://doi.org/10.1016/j.buildenv.2017.11.032.
  60. Zarghami, E., Fatourehchi, D. and Karamloo, M. (2017), "Impact of daylighting design strategies on social sustainability through the built environment", Sustainable Development, 25(6), 504-527. https://doi.org/10.1002/sd.1675.