DOI QR코드

DOI QR Code

Seismic analysis of bridges based on stress-dependent damping

  • Su, Li (Department of Civil Engineering, Beijing Jiaotong University) ;
  • Wang, Yuanfeng (Department of Civil Engineering, Beijing Jiaotong University) ;
  • Li, Pengfei (Bridge Technology Research Center, Research Institute of Highway, MOT) ;
  • Mei, Shengqi (Department of Civil Engineering, Beijing Jiaotong University) ;
  • Guo, Kun (Department of Civil Engineering, Beijing Jiaotong University)
  • Received : 2016.06.29
  • Accepted : 2016.12.07
  • Published : 2017.05.10

Abstract

Damping value has considerable influence on the dynamic and seismic behaviors of bridges. However, currently the constant damping ratios that are prescribed by most bridge seismic design codes can't truly represent the complicated damping character of actual structures. In this paper, a cyclic loading experiment was conducted to study the effect of stress amplitude on material damping of concrete to present an analyzing model of the material damping of concrete. Furthermore, based on the fundamental damping of structure measured under ambient vibration, combined with the presented stress-dependent material damping concrete, the seismic response of a bridge pier was calculated. Comparison between the calculated and experiment results verified the validity of the presented damping model. Finally, a modified design and analysis method for bridge was proposed based on stress-dependent damping theory, and a continuous rigid frame bridge was selected as the example to calculate the actual damping values and the dynamic response of the bridge under different earthquake intensities. The calculation results indicated that using the constant damping given by the Chinese seismic design code of bridges would overestimate the energy dissipation capacity of the bridge.

Keywords

Acknowledgement

Supported by : National Natural Science Foundation of China, Beijing Jiaotong University

References

  1. Ai, Q.H., Wang, D.S., Li, H.N. and Meng, Q.L. (2008), "Experimental study of seismic damage of reinforced concrete bridge piers on shaking table", J. Dalian Univ. Technol,. 5(19), 733-739. (in Chinese)
  2. Audenino, A.L., Crupi, V. and Zanetti, E.M. (2003), "Correlation between thermography and internal damping in metals", Int. J. Fatig., 25(4), 343-351. https://doi.org/10.1016/S0142-1123(02)00137-8
  3. Billing, J.R. (1982), Dynamic Test of Bridges in Ontario, 1980: Data Capture, Test Procedures, and Data Processing, MTC Research and Development Report SRR-82-02, Ontario Ministry of Transportation and Communications, Downsview, Ontario, Canada
  4. Billing, J.R. (1984), "Dynamic loading and testing of bridges in Ontario", Can. J. Civil Eng., 11(4), 833-843. https://doi.org/10.1139/l84-101
  5. Caltrans, S.D.C. (2010), "Caltrans seismic design criteria (SDC-2010)", California Department of Transportation, Sacramento.
  6. CEN (European Committee for Standardization). (2003), Design of structures for earthquake resistance-Part 1: General rules, seismic actions and rules for buildings, EUROCODE 8, Brussels.
  7. Chopra, A.K. (1995), Dynamics of Structures, Vol. 3, Prentice Hall, New Jersey.
  8. Clough, R.W. and Penzien, J. (1977), Dynamics of Structures, McGraw-Hill, New York.
  9. Eyre, R. and Tilly, G.P. (1977), "Damping measurements on steel and composite bridges", Proceeding of a Symposium on Dynamic Behaviour of Bridges at the Transport and Road Research Laboratory, Crowthorne, Berkshire, England, May.
  10. Farrar, C.R., Duffey, T., Cornwell, P.J. and Doebling, S.W. (1999), "Excitation methods for bridge structures", Society for Experimental Mechanics, Inc, 17th International Modal Analysis Conference.
  11. Gonzalez, A., OBrien, E.J. and McGetrick, P.J. (2012), "Identification of damping in a bridge using a moving instrumented vehicle", J. Sound Vib., 331(18), 4115-4131. https://doi.org/10.1016/j.jsv.2012.04.019
  12. Gounaris, G.D. and Anifantis, N.K. (1999), "Structural damping determination by finite element approach", Comput. Struct., 73(1), 445-452. https://doi.org/10.1016/S0045-7949(98)00257-0
  13. Gounaris, G.D., Antonakakis, E. and Papadopoulos, C.A. (2007), "Hysteretic damping of structures vibrating at resonance: An iterative complex eigensolution method based on damping-stress relation", Comput. Struct., 85(23), 1858-1868. https://doi.org/10.1016/j.compstruc.2007.02.026
  14. Green, R. (1977), "Dynamic response of bridge superstructures-Ontario observations", Proceeding of a Symposium of Dynamic Behavior of Bridges at the Transport and Road Research Laboratory, Crowthorne, Berkshire, England, May.
  15. Hart, G.C. and Vasudevan, R. (1975), "Earthquake design of buildings: damping", J. Struct. Div., 101(1), 11-30.
  16. Kawashima, K., Takahashi, Y., Ge, H., Wu, Z. and Zhang, J. (2009). "Reconnaissance report on damage of bridges in 2008 Wenchuan, China, earthquake", J. Earthq. Eng., 13(7), 965-996. https://doi.org/10.1080/13632460902859169
  17. Kume, Y., Hashimoto, F. and Maeda, S. (1982), "Material damping of cantilever beams", J. Sound Vib., 80(1), 1-10. https://doi.org/10.1016/0022-460X(82)90386-8
  18. Lazan, B.J. (1968), Damping of Materials and Members in Structural Mechanics, Vol. 42, Pergamon Press, Oxford.
  19. Li, P.F., Wang, Y.F., Liu, B.D. and Su, L. (2014), "Damping Properties of Highway Bridges in China", J. Bridge Eng., 19(5), 04014005. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000578
  20. Liu, H., Wang, J., Zhang, Z., Yuan, D. and Liu, L. (2005), "Strain-dependent nonlinear damping and application to dynamic analysis of elastic linkage mechanism", J. Sound Vib., 281(1), 399-408. https://doi.org/10.1016/j.jsv.2004.03.033
  21. Lu, Y., Hao, H., Carydis, P.G. and Mouzakis, H. (2001), "Seismic performance of RC frames designed for three different ductility levels", Eng. Struct., 23(5), 537-547. https://doi.org/10.1016/S0141-0296(00)00058-4
  22. MOT (Ministry of Transport of the People's Republic of China), (2008), Guidelines for Seismic Design of Highway Bridges (JTG/T B02-01-2008), China Communication Press, Beijing.
  23. Okauchi, I., Tanaka, A., Iwaya, K. and Furuya, N. (1986), "Vibration test of Ohnaruto Bridge to confirm windproofness", In IABSE Symposium, Tokyo.
  24. Pan, Y. and Wang, Y.F. (2015), "Iterative Method for Exponential Damping Identification", Comput. Aid. Civil Infrastr. Eng., 30(3), 229-243. https://doi.org/10.1111/mice.12077
  25. Rainieri, C., Fabbrocino, G. and Cosenza, E. (2010), "Some remarks on experimental estimation of damping for seismic design of civil constructions", Shock Vib., 17(4-5), 383-395. https://doi.org/10.1155/2010/737452
  26. Takeda, T., Sozen, M.A. and Nielsen, N.N. (1970), "Reinforced concrete response to simulated earthquakes", J. Struct. Div., 96(12), 2557-2573.
  27. Tilly, G.P. (1977), "Damping of highway bridges: a review", Proceeding of a Symposium on Dynamic Behavior of Bridges at the Transport and Road Research Laboratory, Crowthorne, Berkshire, England, May.
  28. Wang, Y.F. and Li, P. (2008), "Analysis of influence of material damping on the dynamic response of reinforced concrete frame structures", China Civil Eng. J., 41(11), 39-43.
  29. Wang, Y.F. and Li, X.R. (2013), "Non-linear damping of FRP-confined damaged reinforced concrete columns", Eng. Struct., 57, 289-295. https://doi.org/10.1016/j.engstruct.2013.09.027
  30. Wen, J. and Wang, Y.F. (2005), "Influence of damping change on dynamic response of concrete-filled steel tubular arch bridges", Fourth International Conference on Advances in Steel Structures, Vol. 1, Elsevier Science Ltd., Oxford.
  31. Wen, J. and Wang, Y.F. (2007), "Computation and formula for material damping of concrete components under axial cycle load", J. Vib. Shock, 6, 003.
  32. Wen, J. and Wang, Y.F. (2008), "Calculation of material damping of reinforced concrete cantilever beams", China Civil Eng. J/, 2, 013.