DOI QR코드

DOI QR Code

Vibration-mode-based story damage and global damage of reinforced concrete frames

  • Guo, Xiang (School of Civil Engineering, Dalian University of Technology) ;
  • He, Zheng (School of Civil Engineering, Dalian University of Technology)
  • Received : 2017.09.05
  • Accepted : 2018.04.16
  • Published : 2018.06.25

Abstract

An attempt is conducted to explore the relationship between the macroscopic global damage and the local damage of shear-type RC frames. A story damage index, which can be expressed as multi-variate functions of modal parameters, is deduced based on the tridiagonal matrix of the shear-type frame. The global damage model is also originated from structural modal parameters. Due to the connection of modal damage indexes, the relationship between the macroscopic global damage and the local story damage is reasonably established. In order to validate the derivation, a case study is carried out via an 8-story shear-type frame. The sensitivities of modal damage indexes to the location and severity of local story damages are studied. The evolution of the global damage is investigated as well. Results show that the global damage is sensitive to the degree of story damage, but it's not sensitive to its location. As the number of the damaged stories increases, more and more modes will be involved. Meanwhile, the global damage evolution curve changes from the concave shape to the S-type and then finally transforms into the convex shape. Through the proposed story damage, modal damage and global damage model, a multi-level damage assessment method is established.

Keywords

Acknowledgement

Supported by : National Natural Science Foundation of China

References

  1. DiPasquale, E. and Cakmak, A.S. (1989), "On the relation between local and global damage indices", Technical Report, Technical Report NCEER-89-0034, State University of New York at Buffalo, National Center for Earthquake Engineering Research.
  2. DiPasquale, E. and Cakmak, A.S. (1990), "Detection of seismic structural damage using parameter-based global damage indices", Prob. Eng. Mech., 5(2), 60-65. https://doi.org/10.1016/0266-8920(90)90008-8
  3. Ghobarah, A. (2001), "Performance-based design in earthquake engineering: state of development", Eng. Struct., 23(8), 878-884. https://doi.org/10.1016/S0141-0296(01)00036-0
  4. Guo, J., Wang, J.J., Li, Y., Zhao, W.G. and Du, Y.L. (2016), "Three dimensional extension for Park and Ang damage model", Struct., 7, 184-194. https://doi.org/10.1016/j.istruc.2016.06.008
  5. He, Z., Ou, X.Y. and Ou, J.P. (2014), "A macro-level global seismic damage model considering higher modes", Earthq. Eng. Eng. Vib., 13(3), 425-436. https://doi.org/10.1007/s11803-014-0253-x
  6. He, Z., Zhu, Z.Y., Guo, X., Liu, T.T. and Hu, Y.T. (2017), "Development of a macroscopic global seismic damage model for lattice shell structures", J. Struct. Eng., 143(2), 04016174. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001668
  7. Heo, Y.A. and Kunnath, S.K. (2013), "Damage-based seismic performance evaluation of reinforced concrete frames", Int. J. Concrete Struct. Mater., 7(3), 175-182. https://doi.org/10.1007/s40069-013-0046-z
  8. Koyluoglu, H.U., Nielsen, S.R.K., Abbott, J., and Cahmak, A.S. (1998), "Local and modal damage indicators for RC frames subject to earthquakes", J. Eng. Mech., 124(12), 1371-1379. https://doi.org/10.1061/(ASCE)0733-9399(1998)124:12(1371)
  9. Kunnath, S.K., Reinhorn, A.M. and Abel, J.F. (1991), "A computational tool for evaluation of seismic performance of reinforced concrete buildings", Comput. Struct., 41(1), 157-173. https://doi.org/10.1016/0045-7949(91)90165-I
  10. Loh, C., Chan, C., Chen, S. and Huang, S. (2016), "Vibrationbased damage assessment of steel structure using global and local response measurements", Earthq. Eng. Struct. Dyn., 45(5), 699-718. https://doi.org/10.1002/eqe.2680
  11. Massumi, A. and Moshtagh, E. (2013), "A new damage index for RC buildings based on variations of nonlinear fundamental period", Struct. Des. Tall Spec. Build., 22(1), 50-61. https://doi.org/10.1002/tal.656
  12. Park, Y.J. and Ang, H.S. (1985), "Mechanistic seismic damage model for reinforced concrete", J. Struct. Eng., 111(4), 722-739. https://doi.org/10.1061/(ASCE)0733-9445(1985)111:4(722)
  13. Reinhorn, A.M., Roh, H., Sivaselvan, M., Kunnath, S.K., Valles, R.E., Madan, A., Li, C., Lobo, R. and Park, Y.J. (2009) "IDARC2D Version 7.0: A program for the inelastic damage analysis of structures", Technical Report MCEER-09-0006, University at Buffalo, The State University of New York, National Center for Earthquake Engineering Research.
  14. Scotta, R., Tesser, L., Vitaliani, R. and Saetta, A. (2009), "Global damage indexes for the seismic performance assessment of RC structures", Earthq. Eng. Struct. Dyn., 38(8), 1027-1049. https://doi.org/10.1002/eqe.882
  15. Song, J., Gu, C., Su, H., Gu, H. and Huang, X. (2016), "Observed displacement data-based identification method of structural damage in concrete dam", Eng. Fail. Anal., 66, 202-211. https://doi.org/10.1016/j.engfailanal.2016.04.013
  16. Stubbs, N., Park, S., Sikorsky, C. and Choi, S. (2010), "A global non-destructive damage assessment methodology for civil engineering structures", Int. J. Syst. Sci., 31(11), 1361-1373. https://doi.org/10.1080/00207720050197758
  17. Wang, M.F. (2008), "Seismic damage model of tall building structure based on modal damage indices", Earthq. Resi. Eng. Retrof., 30(6), 24-32. (In Chinese)
  18. Wen, Y.K. and Kang, Y.J. (2001), "Minimum building life-cycle cost design criteria. II: applications", J. Struct. Eng., 127(3), 338-346. https://doi.org/10.1061/(ASCE)0733-9445(2001)127:3(338)
  19. Yoon, M.K., Heider, D., Gillespie, J.W., Ratcliffe, C.P. and Crane, R.M. (2009), "Local damage detection with the global fitting method using mode shape data in notched beams", J. Nondestr. Eval., 28(2), 63-74. https://doi.org/10.1007/s10921-009-0048-6
  20. Zhu, H.W., Wang, K.P. and Tang, S.G. (2004), "Modal damage index and its application in structure damage assessment", J. Tongji Univ. (Nat. Sci.), 32(12), 1589-1592. (In Chinese)