Structural Engineering and Mechanics

  • 제68권5호
  • /
  • Pages.563-573
  • /
  • 2018
  • /
  • 1225-4568(pISSN)
  • /
  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Nonlinear boundary parameter identification of bridges based on temperature-induced strains

  • Wang, Zuo-Cai (Department of Civil Engineering, Hefei University of Technology) ;
  • Zha, Guo-Peng (Department of Civil Engineering, Hefei University of Technology) ;
  • Ren, Wei-Xin (Department of Civil Engineering, Hefei University of Technology) ;
  • Hu, Ke (Anhui Transportation Holding Group Co., Ltd.) ;
  • Yang, Hao (Department of Civil Engineering, Hefei University of Technology)
  • 투고 : 2017.10.20
  • 심사 : 2018.10.23
  • 발행 : 2018.12.10
⟨ 이전 논문 다음 논문 ⟩

초록

Temperature-induced responses, such as strains and displacements, are related to the boundary conditions. Therefore, it is required to determine the boundary conditions to establish a reliable bridge model for temperature-induced responses analysis. Particularly, bridge bearings usually present nonlinear behavior with an increase in load, and the nonlinear boundary conditions cause significant effect on temperature-induced responses. In this paper, the bridge nonlinear boundary conditions were simulated as bilinear translational or rotational springs, and the boundary parameters of the bilinear springs were identified based on the measured temperature-induced responses. First of all, the temperature-induced responses of a simply support beam with nonlinear translational and rotational springs subjected to various temperature loads were analyzed. The simulated temperature-induced strains and displacements were assumed as measured data. To identify the nonlinear translational and rotational boundary parameters of the bridge, the objective function based on the temperature-induced responses is then created, and the nonlinear boundary parameters were further identified by using the nonlinear least squares optimization algorithm. Then, a beam structure with nonlinear translational and rotational springs was simulated as a numerical example, and the nonlinear boundary parameters were identified based on the proposed method. The numerical results show that the proposed method can effectively identify the parameters of the nonlinear boundary conditions. Finally, the boundary parameters of a real arch bridge were identified based on the measured strain data and the proposed method. Since the bearings of the real bridge do not perform nonlinear behavior, only the linear boundary parameters of the bridge model were identified. Based on the bridge model and the identified boundary conditions, the temperature-induced strains were recalculated to compare with the measured strain data. The recalculated temperature-induced strains are in a good agreement with the real measured data.

키워드

과제정보

연구 과제 주관 기관 : National Natural Science Foundation of China, Natural Science Funds for Distinguished Young Scholar of Anhui province, Central Universities

참고문헌

  1. Alamdari, M.M., Li, J.C., Samali, B., Ahmadian, H. and Naghavi, A. (2014), "Nonlinear joint model updating in assembled structures", J. Eng. Mech. ASCE, 140(7), 04014042. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000759
  2. Brownjohn, J.M.W., Xu, Y.L. and De, S. (2011), "Vibration-based monitoring of civil infrastructure: Challenges and successes", J. Civil Struct. Health. Monit., 1(3), 79-95. https://doi.org/10.1007/s13349-011-0009-5
  3. Chaudhary, M.T.A., Abe, M. and Fujino, Y. (2002), "Role of structural details in altering the expected seismic responses of base-isolated bridges", Mech. Syst. Sign. P.R., 16(2-3), 413-428. https://doi.org/10.1006/mssp.2002.1480
  4. Chen, Z.W., Zhu, S.Y., Xu, Y.L., Li, Q. and Cai, Q.L. (2015), "Damage detection in long suspension bridges using stress influence lines", J. Brid. Eng. ASCE, 20(3), 1-11.
  5. Dai, W., Moroni, M.O., Roesset, J.M. and Sarrazion, M. (2006), "Effect of isolation pads and their stiffness on the dynamic characteristics of bridges", Eng. Struct., 28(9), 1298-1306. https://doi.org/10.1016/j.engstruct.2005.12.012
  6. Deng, Y., Ding, Y.L. and Li, A.Q. (2010), "Structural condition assessment of long-span suspension bridges using long-term monitoring data", Earthq. Eng. Eng. Vibr., 9(1), 123-131. https://doi.org/10.1007/s11803-010-9024-5
  7. Dilger, W.H., Amin, G., Chan, M., Mo, S.C. and Maes, M.A. (1983), "Temperature stress in composite box girder bridges", J. Struct. Eng. ASCE, 109(6), 1460-1479. https://doi.org/10.1061/(ASCE)0733-9445(1983)109:6(1460)
  8. Ding, Y., Wang, G., Zhou, G. and Li, A. (2013), "Life-cycle simulation method of temperature field of steel box girder for Runyang cable-stayed bridge based on field monitoring data", Chin. Civil Eng. J., 46(5), 129-136.
  9. Gao, K., Yuan, W.C. and Dang, X.Z. (2017), "Development and experimental study on cable-sliding modular expansion joints", Struct. Eng. Mech., 61(6), 795-806. https://doi.org/10.12989/SEM.2017.61.6.795
  10. He, X., Moaveni, B., Conte, J., Elgamal, A. and Masri, S.F. (2009), "System identification of lfred Zampa Memorial bridge using dynamic field test data", J. Struct. Eng. ASCE, 135(1), 54-66. https://doi.org/10.1061/(ASCE)0733-9445(2009)135:1(54)
  11. Jaishi, B. and Ren, W.X. (2005), "Structural finite element model updating using ambient vibration test results", J. Struct. Eng. ASCE, 131(4), 617-628. https://doi.org/10.1061/(ASCE)0733-9445(2005)131:4(617)
  12. Kennedy, J.B. and Soliman, M.H. (1987), "Temperature distribution in composite bridges", J. Struct. Eng. ASCE, 113(3), 475-482. https://doi.org/10.1061/(ASCE)0733-9445(1987)113:3(475)
  13. Lei, Y., Hua, W., Luo S.J. and He M.Y. (2015), "Detection and parametric identification of structural nonlinear restoring forces from partial measurements of structural responses", Struct. Eng. Mech., 54(2), 291-304. https://doi.org/10.12989/SEM.2015.54.2.291
  14. Li, J., Hao, H., Xia, Y. and Zhu, H.P. (2015), "Damage assessment of shear connectors with vibration measurements and power spectral density transmissibility", Struct. Eng. Mech., 54(2), 257-289. https://doi.org/10.12989/SEM.2015.54.2.257
  15. Marquardt, D.(1963), "An algorithm for least-squares estimation of nonlinear parameters", SIAM J. Appl. Math., 11(2), 431-441. https://doi.org/10.1137/0111030
  16. Moaveni, B. and Behmanesh, I. (2012), "Effects of changing ambient temperature on finite element model updating of the dowling hall footbridge", Eng. Struct., 43(10), 58-68. https://doi.org/10.1016/j.engstruct.2012.05.009
  17. Nagayama, T., Abe, M., Fujino, Y. and Ikeda, K. (2005), "Structural identification of a non-proportionally damped System and its application to a full-scale suspension bridge", J. Struct. Eng. ASCE, 131(10), 1536-1545. https://doi.org/10.1061/(ASCE)0733-9445(2005)131:10(1536)
  18. Ni, Y.Q., Hua, X.G., Wong, K.Y. and Ko, J.M. (2007), "Assessment of bridge expansion joints using long-term displacement and temperature measurement", J. Perform. Constr. Facil., 21(2), 143-151. https://doi.org/10.1061/(ASCE)0887-3828(2007)21:2(143)
  19. Ren, W.X., Peng, X.L. and Lin, Y.Q. (2005), "Experimental and analytical studies on dynamic characteristics of a large span cable-stayed bridges", Eng. Struct., 27(4), 535-548. https://doi.org/10.1016/j.engstruct.2004.11.013
  20. Roberts-Wollman, C.L., Breen, J.E. and Cawrse, J. (2002), "Measurements of thermal gradients and their effects on segmental concrete bridge", J. Brid. Eng. ASCE, 7(3), 166-174. https://doi.org/10.1061/(ASCE)1084-0702(2002)7:3(166)
  21. Shahawy, M.A. and Arockiasamy, M. (1996), "Analytical and measured strains in sunshine skyway bridge II", J. Brid. Eng. ASCE, 1(2), 87-97. https://doi.org/10.1061/(ASCE)1084-0702(1996)1:2(87)
  22. Tong, M., Tham, L.G., Au, F.T.K. and Lee, P.K.K. (2001), "Numerical modelling for temperature distribution in steel bridges", Comput. Struct., 79(6), 583-593. https://doi.org/10.1016/S0045-7949(00)00161-9
  23. Wang, Z.C., Geng, D., Ren, W.X., Chen, G.D. and Zhang, G.F. (2015), "Damage detection of nonlinear structures with analytical mode decomposition and hilbert transform", Smart Struct. Syst., 15(1), 1-13. https://doi.org/10.12989/sss.2015.15.1.001
  24. Wang, Z.C., Xin, Y. and Ren, W.X. (2016), "Nonlinear structural joint model updating based on instantaneous characteristics of dynamic responses", Mech. Syst. Sign. P.R., 76, 476-496.
  25. Wei, J.J. and Lv, Z.R. (2015), "Structural damage detection including the temperature difference based on response sensitivity analysis", Struct. Eng. Mech., 53(2), 249-260. https://doi.org/10.12989/SEM.2015.53.2.249
  26. Xia, Y., Xu, Y.L., Wei, Z.L., Zhu, H.P. and Zhou, X.Q. (2011), "Variation of structural vibration characteristics versus non-uniform temperature distribution", Eng. Struct., 33(1), 146-153. https://doi.org/10.1016/j.engstruct.2010.09.027
  27. Xu, Y.L., Chen, B., Ng, C.L., Wong, K.Y. and Chan, W.Y. (2009), "Monitoring temperature effect on a long suspension bridge", Struct. Contr. Health Monit., 17(6), 632-653. https://doi.org/10.1002/stc.340
  28. Yang, X., Zhang, J. and Ren, W.X. (2017), "Temperature effect analysis of a long-span cable-stayed bridge based on extreme strain estimation", Smart Struct. Syst., 20(1), 11-22. https://doi.org/10.12989/SSS.2017.20.1.011
  29. Yarnold, M.T. and Moon, F.L. (2015), "Temperature-based structural health monitoring baseline for long-span bridge", Eng. Struct., 86, 157-167. https://doi.org/10.1016/j.engstruct.2014.12.042
  30. Yarnold, M.T., Moon, F.L. and Aktan, A.E. (2015), "Temperature-based structural identification of long-span bridges", J. Struct. Eng. ASCE, 141(11), 1-10.
  31. Yu, L. and Zhu, J.H. (2015), "Nonlinear damage detection using higher statistical moments of structural responses", Struct. Eng. Mech., 54(2), 221-237. https://doi.org/10.12989/SEM.2015.54.2.221
  32. Zhang, J. and Prader, J. (2013), "Experimental vibration analysis for structural identification of a long-span suspension bridge", J. Eng. Mech. ASCE, 139(6), 748-759. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000416