Structural Engineering and Mechanics

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Effects of viscous damping models on a single-layer latticed dome during earthquakes

  • Zhang, Huidong (Tianjin Key Laboratory of Civil Buildings Protection and Reinforcement) ;
  • Wang, Jinpeng (Tianjin Key Laboratory of Civil Buildings Protection and Reinforcement) ;
  • Zhang, Xiaoshuai (Tianjin Key Laboratory of Civil Buildings Protection and Reinforcement) ;
  • Liu, Guoping (Tianjin Key Laboratory of Civil Buildings Protection and Reinforcement)
  • Received : 2016.09.26
  • Accepted : 2017.03.09
  • Published : 2017.05.25
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Abstract

Rayleigh damping model is recommended in the recently developed Performance-Based Earthquake Engineering (PBEE) methodology, but this methodology does not provide sufficient information due to the complexity of the damping mechanism. Furthermore, each Rayleigh-type damping model may have its individual limitations. In this study, Rayleigh-type damping models that are used widely in engineering practice are discussed. The seismic performance of a large-span single-layer latticed dome subjected to earthquake ground motions is investigated using different Rayleigh damping models. Herein a simulation technique is developed considering low cycle fatigue (LCF) in steel material. In the simulation technique, Ramberg-Osgood steel material model with the low cycle fatigue effect is used to simulate the non-uniformly distributed material damping and low cycle fatigue damage in the structure. Subsequently, the damping forces of the structure generated by different damping models are compared and discussed; the effects of the damping ratio and roof load on the damping forces are evaluated. Finally, the low cycle fatigue damage values in sections of members are given using these damping models. Through a comparative analysis, an appropriate Rayleigh-type damping model used for a large span single-layer latticed dome subjected to earthquake ground motions is determined in terms of the existing damping models.

Keywords

Acknowledgement

Supported by : National Natural Science Foundation of China

References

  1. AISC (ANSI/AISC 341-05) (2005), Seismic provisions for structural steel buildings, American Institute of Steel Construction Inc., Chicago.
  2. Anes, V., Reis, L., Li, B. and Freitas, M. (2014), "New approach to evaluate non-proportionality in multiaxial loading conditions", Fatigue Fract. Eng. M., 37(12), 1338-1354. https://doi.org/10.1111/ffe.12192
  3. ASCE/SEI 8-02 (2003), Specification for the design of coldformed stainless steel structural members, American Society of Civil Engineers; New York, NY, USA.
  4. ATC (1997), NEHRP Guidelines for the Seismic Rehabilitation of Buildings, Federal Emergency Management Agency, USA.
  5. Bernal, D. (1994), "Viscous damping in inelastic structural response", J. Struct. Eng., 120(4), 1240-1254. https://doi.org/10.1061/(ASCE)0733-9445(1994)120:4(1240)
  6. Charney, F.A. (2008), "Unintended consequences of modeling damping in structures", J. Struct. Eng., 134(4), 581-592. https://doi.org/10.1061/(ASCE)0733-9445(2008)134:4(581)
  7. Chopra, A.K. (1995), Dynamics of structures, Prentice Hall, New Jersey, USA.
  8. CSI. (2007), Perform3D User's manual, California, USA.
  9. Deierlein, G.G., Reinhorn, A.M. and Willford, M.R. (2010), "Nonlinear structural analysis for seismic design (NEHRP Seismic Design Technical Brief No. 4)", National Institute of Standards and Technology, U.S. Department of Commerce.
  10. Filiatrault, A., Christopoulos, C. and Stearns, C. (2002), "Guidelines, specifications, and seismic performance characterization of nonstructural building components and equipment", Pacific Earthquake Engineering Research Center, USA.
  11. Goel, R.K. and Chopra, A.K. (1997), "Vibration properties of buildings determined from recorded earthquake motions", Earthquake Engineering Research Center, University of California, USA.
  12. Gupta, N.K. and Gupta, S.K. (1993), "Effect of annealing, size and cut-outs on axial collapse behavior of circular tubes", Int. J. Mech. Sci., 35(7), 597-613. https://doi.org/10.1016/0020-7403(93)90004-E
  13. Gupta, N.K. (2004), "Experimental and numerical studies of the collapse of thin tubes under axial compression", Lat. Am. J. Solid. Struct., 1(2), 233-260.
  14. Hall, J.F. (2006), "Problems encountered from the use (or misuse) of Rayleigh damping", Earthq. Eng. Struct. Dyn., 35(5), 525-545. https://doi.org/10.1002/eqe.541
  15. Hindi, R.A. and Sexsmith, R.G. (2001), "A proposed damage model for RC bridge columns under cyclic loading", Earthq. Spectra, 17(2), 261-290. https://doi.org/10.1193/1.1586175
  16. Jehel, P., Leger, P. and Ibrahimbegovic, A. (2014), "Initial versus tangent stiffness-based Rayleigh damping in inelastic time history seismic analyses", Earthq. Eng. Struct. Dyn., 43(3), 467-484. https://doi.org/10.1002/eqe.2357
  17. Kelly, T.E. (2001), Performance based evaluation of buildingsnonlinear pushover and time history analysis-reference manual, Holmes Consulting Group, Revision 5.
  18. Krawinkler, H. (2000), "FEMA-355 C State of the art report on systems performance of steel moment frames subject to earthquake ground shaking", Federal Emergency Management Agency, USA.
  19. Li, Y., Wang, L., Tamura, Y. and Shen, Z. (2009), "Wind tunnel test on levy type cable dome", The seventh asia-pacific conference on wind engineering, Taipei, Taiwan.
  20. Lignos, D.G., Chung, Y., Nagae, T. and Nakashima, M. (2011), "Numerical and experimental evaluation of seismic capacity of high-rise steel buildings subjected to long duration earthquakes", Comput. Struct., 89(11), 959-967. https://doi.org/10.1016/j.compstruc.2011.01.017
  21. Mazzoni, S., McKenna, F., Scott, M.H. and Fenves, G. (2004), OpenSees users manual, PEER, Berkeley, USA.
  22. Mehanny, S.S.F. and Deierlein, G.G. (2001), "Seismic damage and collapse assessment of composite moment frames", J. Struct. Eng., 127(9), 1045-1053. https://doi.org/10.1061/(ASCE)0733-9445(2001)127:9(1045)
  23. Park, Y.J. and Ang, A.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)
  24. PEER/ATC (2010), Modeling and acceptance criteria for seismic design and analysis of tall buildings, PEER/ATC 72-1 Report; Redwood City, USA.
  25. Ramberg, W. and Osgood, W.R. (1943), Description of stressstrain curves by three parameters, Technical Note No. 902, National Advisory Committee For Aeronautics, Washington DC, USA.
  26. Satake, N., Suda, K. I., Arakawa, T., Sasaki, A. and Tamura, Y. (2003), "Damping evaluation using full-scale data of buildings in Japan", J. Struct. Eng., 129(4), 470-477. https://doi.org/10.1061/(ASCE)0733-9445(2003)129:4(470)
  27. Sheen, R.L. (1984), "Experimental measurement of material damping for space structures in simulated zero-G", Rept no. AFIT/CI/NR-83-84T; Air Force Inst. of Tech., Wright-Patterson AFB, OH, USA.
  28. Shemshadian, M.E., Razavi, S.A., Hosseini, A., Mirghaderi, S.R., and Khan Mohammadi, M. (2011), "An analytical study of low cycle fatigue effects in buckling restrained braces", 3rd ECCOMAS Thematic Conference on Computational Methods in Structural Dynamics and Earthquake, Corfu, Greece.
  29. Stephens, R.I., Fatemi, A., Stephens, R.R. and Fuchs, H.O. (2000), Metal fatigue in engineering, John Wiley & Sons.
  30. Tamura, Y. (2012), "Amplitude dependency of damping in buildings and critical tip drift ratio", Int. J. High-Rise Build., 1(1), 1-13.
  31. Tatemichi, I., Hatato, T., Anma, Y. and Fujiwara, S. (1997), "Vibration tests on a full-size suspen-dome structure", Int. J. Space Struct., 12(3), 217-224. https://doi.org/10.1177/026635119701200310
  32. Teng, J.G. (1996), "Buckling of thin shells: Recent advances and trends", Appl. Mech. Rev., 49(4), 263-274. https://doi.org/10.1115/1.3101927
  33. Uriz, P. (2005), "Towards earthquake resistant design of concentrically braced steel structures", Doctoral Dissertation, Structural Engineering, Mechanics, and Materials, Department of Civil and Environmental Engineering, University of California, Berkeley, USA.
  34. Vargas, R. and Bruneau, M. (2007), "Effect of supplemental viscous damping on the seismic response of structural systems with metallic dampers", J. Struct. Eng., 133(10), 1434-1444. https://doi.org/10.1061/(ASCE)0733-9445(2007)133:10(1434)
  35. Zareian, F. and Medina, R.A. (2010), "A practical method for proper modeling of structural damping in inelastic plane structural systems", Comput. Struct., 88(1), 45-53. https://doi.org/10.1016/j.compstruc.2009.08.001
  36. Zhang, H.D. and Han, Q.H. (2013), "A numerical investigation of seismic performance of large span single-layer latticed domes with semi-rigid joints", Struct. Eng. Mech., 48(1), 57-75. https://doi.org/10.12989/sem.2013.48.1.057
  37. Zhang, H.D., Han, Q.H., Wang, Y.F. and Lu, Y. (2016), "Explicit modeling of damping of a single-layer latticed dome with an isolation system subjected to earthquake ground motions", Eng. Struct., 106, 154-165. https://doi.org/10.1016/j.engstruct.2015.10.027
  38. Zhang, H.D. and Wang, Y.F. (2015), "Investigation of a jointmember damping model for single-layer latticed domes", China Civ. Eng. J., 48(2), 54-65. (in Chinese)
  39. Zhang, H.D, Wang, Y.F. and Han, Q.H. (2015), "Nonlinear material loss factors of single-layer latticed domes subjected to earthquake ground motions", J. Struct. Eng., ASCE, 141(7), 04014181. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001149

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