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Statistical analysis and probabilistic modeling of WIM monitoring data of an instrumented arch bridge

  • Ye, X.W. (Department of Civil Engineering, Zhejiang University) ;
  • Su, Y.H. (Department of Civil Engineering, Zhejiang University) ;
  • Xi, P.S. (Department of Civil Engineering, Zhejiang University) ;
  • Chen, B. (Department of Civil Engineering, Zhejiang University) ;
  • Han, J.P. (School of Civil Engineering, Lanzhou University of Technology)
  • Received : 2016.01.25
  • Accepted : 2016.04.18
  • Published : 2016.06.25

Abstract

Traffic load and volume is one of the most important physical quantities for bridge safety evaluation and maintenance strategies formulation. This paper aims to conduct the statistical analysis of traffic volume information and the multimodal modeling of gross vehicle weight (GVW) based on the monitoring data obtained from the weigh-in-motion (WIM) system instrumented on the arch Jiubao Bridge located in Hangzhou, China. A genetic algorithm (GA)-based mixture parameter estimation approach is developed for derivation of the unknown mixture parameters in mixed distribution models. The statistical analysis of one-year WIM data is firstly performed according to the vehicle type, single axle weight, and GVW. The probability density function (PDF) and cumulative distribution function (CDF) of the GVW data of selected vehicle types are then formulated by use of three kinds of finite mixed distributions (normal, lognormal and Weibull). The mixture parameters are determined by use of the proposed GA-based method. The results indicate that the stochastic properties of the GVW data acquired from the field-instrumented WIM sensors are effectively characterized by the method of finite mixture distributions in conjunction with the proposed GA-based mixture parameter identification algorithm. Moreover, it is revealed that the Weibull mixture distribution is relatively superior in modeling of the WIM data on the basis of the calculated Akaike's information criterion (AIC) values.

Keywords

Acknowledgement

Supported by : National Science Foundation of China

References

  1. Akaike, H. (1974), "A new look at the statistical model identification", IEEE T. Automat. Contr., 19(6), 716-723. https://doi.org/10.1109/TAC.1974.1100705
  2. Caprani, C.C. (2012), "Calibration of a congestion load model for highway bridges using traffic microsimulation", Struct. Eng. Int., 22(3), 342-348. https://doi.org/10.2749/101686612X13363869853455
  3. Caprani, C.C., O'Brien, E.J. and McLachlan, G.J. (2008), "Characteristic traffic load effects from a mixture of loading events on short to medium span bridges", Struct. Saf., 30(5), 394-404. https://doi.org/10.1016/j.strusafe.2006.11.006
  4. Chan, T. H., Miao, T.J. and Ashebo, D.B. (2005), "Statistical models from weigh-in-motion data", Struct. Eng. Mech., 20(1), 85-110. https://doi.org/10.12989/sem.2005.20.1.085
  5. Franko, M. and Nagode, M. (2015), "Probability density function of the equivalent stress amplitude using statistical transformation", Reliab. Eng. Syst. Safe, 134, 118-125. https://doi.org/10.1016/j.ress.2014.10.012
  6. Holland, J.H. (1975), Adaptation in Natural and Artificial System, The University of Michigan Press, Ann Arbor, USA.
  7. Isaia, A.D.E.D. (2007), "A quick procedure for model selection in the case of mixture of normal densities", Comput. Stat. Data An., 51(12), 5635-5643. https://doi.org/10.1016/j.csda.2007.05.023
  8. Kwon, K. and Frangopol, D.M. (2010), "Bridge fatigue reliability assessment using probability density functions of equivalent stress range based on field monitoring data", Int. J. Fatigue., 32(8), 1221-1232. https://doi.org/10.1016/j.ijfatigue.2010.01.002
  9. Lan, C., Li, H. and Ou, J.P. (2011), "Traffic load modelling based on structural health monitoring data", Struct. Infrastruct. E., 7(5), 379-386. https://doi.org/10.1080/15732470902726809
  10. McLachlan, G.J. and Peel, D. (2000), Finite Mixture Models, Wiley, New York, USA.
  11. Mei, G., Qin, Q. and Lin, D.J. (2004), "Bimodal renewal processes models of highway vehicle loads", Reliab. Eng. Syst. Safe, 83(3), 333-339. https://doi.org/10.1016/j.ress.2003.10.002
  12. Miao, T.J. and Chan, T.H. (2002), "Bridge live load models from WIM data", Eng. Struct., 24(8), 1071-1084. https://doi.org/10.1016/S0141-0296(02)00034-2
  13. Nagode, M. and Fajdiga, M. (2011), "The rebmix algorithm for the multivariate finite mixture estimation", Commun. Stat-Theor. M., 40(11), 2022-2034.
  14. Ni, Y.Q., Ye, X.W. and Ko, J.M. (2010), "Monitoring-based fatigue reliability assessment of steel bridges: analytical model and application", J. Struct. Eng.-ASCE, 136(12), 1563-1573. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000250
  15. Ni, Y.Q., Ye, X.W. and Ko, J.M. (2012), "Modeling of stress spectrum using long-term monitoring data and finite mixture distributions", J. Eng. Mech.-ASCE, 138(2), 175-183. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000313
  16. Nowak, A.S. (1993), "Live load model for highway bridges", Struct. Saf., 13(1), 53-66. https://doi.org/10.1016/0167-4730(93)90048-6
  17. O'Brien, E.J. and Enright, B. (2011), "Modeling same-direction two-lane traffic for bridge loading", Struct. Saf., 33(4), 296-304. https://doi.org/10.1016/j.strusafe.2011.04.004
  18. O'Brien, E.J., and Enright, B. (2012), "Using weigh-in-motion data to determine aggressiveness of traffic for bridge loading", J. Bridge. Eng.-ASCE, 18(3), 232-239.
  19. O'Connor, A. and O'Brien, E.J. (2005), "Traffic load modelling and factors influencing the accuracy of predicted extremes", Can. J. Civil. Eng., 32(1), 270-278. https://doi.org/10.1139/l04-092
  20. Richardson, S. and Green, P.J. (1997), "On Bayesian analysis of mixtures with an unknown number of components", J. R. Stat. Soc. B., 59(4), 731-792. https://doi.org/10.1111/1467-9868.00095
  21. Sankararaman, S. and Mahadevan, S. (2015), "Integration of model verification, validation, and calibration for uncertainty quantification in engineering systems", Reliab. Eng. Syst. Safe., 138, 194-209. https://doi.org/10.1016/j.ress.2015.01.023
  22. Timm, D.H., Tisdale, S.M. and Turochy, R.E. (2005), "Axle load spectra characterization by mixed distribution modeling", J. Transp. Eng., 131(2), 83-88. https://doi.org/10.1061/(ASCE)0733-947X(2005)131:2(83)
  23. Titterington D.M., Smith A.F.M. and Makov U.E. (1985) Statistical Analysis of Finite Mixture Distribution, Wiley, New York, USA.
  24. Volk, M., Nagode, M. and Fajdiga, M. (2012), "Finite mixture estimation algorithm for arbitrary function approximation", Stroj. Vestn-J. Mech. E., 58(2), 115-124. https://doi.org/10.5545/sv-jme.2011.085
  25. Ye, X.W., Ni, Y.Q., Wong, K.Y. and Ko, J.M. (2012), "Statistical analysis of stress spectra for fatigue life assessment of steel bridges with structural health monitoring data", Eng. Struct., 45, 166-176. https://doi.org/10.1016/j.engstruct.2012.06.016
  26. Ye, X.W., Ni, Y.Q., Wai, T.T., Wong, K.Y., Zhang, X.M. and Xu, F. (2013), "A vision-based system for dynamic displacement measurement of long-span bridges: algorithm and verification", Smart Struct. Syst., 12(3-4), 363-379. https://doi.org/10.12989/sss.2013.12.3_4.363
  27. Ye, X.W., Yi, T.H., Dong, C.Z., Liu, T. and Bai, H. (2015), "Multi-point displacement monitoring of bridges using a vision-based approach", Wind Struct., 20(2), 315-326. https://doi.org/10.12989/was.2015.20.2.315
  28. Zhou, X.Y., Treacy, M., Schmidt, F., Bruhwiler, E., Toutlemonde, F. and Jacob, B. (2015), "Effect on bridge load effects of vehicle transverse in-lane position: a case study", J. Bridge. Eng.- ASCE, 20(12), 04015020. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000763

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