Abstract
For multi-cell curve box girder, the finite strip governing equation was derived on the basis of Novozhilov theory and orthogonal property of harmonious function series. Dynamic Bayesian error function of mechanical parameters of multi-cell curve box girder was achieved with Bayesian statistical theory. The corresponding formulas of dynamic Bayesian expectation and variance were obtained. After the one-dimensional optimization search method for the automatic determination of step length of the mechanical parameter was put forward, the optimization identification calculative formulas were also obtained by adopting conjugate gradient method. Then the steps of dynamic Bayesian identification of mechanical parameters of multi-cell curve box girder were stated in detail. Through analysis of a classic example, the dynamic Bayesian identification processes of mechanical parameters are steadily convergent to the true values, which proves that dynamic Bayesian theory and conjugate gradient theory are suitable for the identification calculation and the compiled procedure is correct. It is of significance that the foreknown information of mechanical parameters should be set with reliable practical engineering experiences instead of arbitrary selection.
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References
Darmawan M S, Stewart M G. Spatial time-dependent reliability analysis of corroding pretensioned concrete bridge girders (in Chinese). Struct Safety, 2007, 29(1): 16–31
Zhang J, Zhou C W, Ye J S. Geometrically nonlinear Heterosis combined shell element of concrete beam with high performance composite rebar (in Chinese). Acta Mater Compos Sin, 2010, 27(2): 66–71
Yi T H, Li H N, Gu M. Full-scale measurements of dynamic response of suspension bridge subjected to environmental loads using GPS technology. Sci China Tech Sci, 2010, 53(2): 469–479
Zhang J, Huang J F, Ye J S, et al. Stress redistribution analysis of multi-girder structure during the whole course (in Chinese). J Harbin Inst Technol, 2010, 42(10): 1656–1661
Banan M R, Hjelmstad K D. Parameter estimation of structures static response. I: Computational aspects. J Struct Eng, 1994, 120(11): 1413–1416
Wu G J. Research on finite element model updating of reinforced continuous concrete box girder (in Chinese). M S Thesis. Nanjing: Southeast University, 2010
Zhang J, Zhou C W, Lan W G, et al. Nonlinear dynamical identification of displacement parameters of multi-cell curve box based on Markov error theory (in Chinese). Chin J Appl Mech, 2010, 27(4): 746–750
Zhao Z M, Chen B C. Analysis of Pole System and Box Girder Bridge and Program Designing (in Chinese). Guangzhou: Huanan Univ of Sci and Eng Press, 1997
Zhang J, Ye J S, Zhou C W. Powell’s optimal identification of material constants of thin-walled box girders based on Fibonacci series search method. Appl Math Mech, 2011, 32(1): 97–106
Luo Q Z, Li Q S, Tang J. Shear lag in box girder bridges. J Bridge Eng, 2002, 7(5): 308–313
Zhang J, Ye J S, Ai J, et al. Nonlinear analysis on mechanical performance of PC multi-girder structures under lateral loading (in Chinese). J Harbin Inst Technol, 2010, 42(12): 1967–1971
Ghani R A, Hangang U. Thin-walled multi-cell straight box-girder finite element. J Struct Eng, 1991, 117(10): 2953–2971
Zhang J, Zhou C W, Zhuo J S. Powell dynamic identification of displacement parameters of indeterminate thin-walled curve box based on FCSE theory. Acta Mech Sin, 2011, 27(3): 452–460
Jwo D J, Cho T S. Critical remarks on the linearised and extended Kalman filters with geodetic navigation examples. Measurement, 2010, 43(9): 1077–1089
Saha N, Roy D. Extended Kalman filters using explicit and derivative-free local linearizations. Appl Math Model, 2009, 33(6): 2545–2563
Zhang J, Lan W G, Lin J. Theoretical model of revised Powell back analysis of composite T-beam with error function. Adv Mater Res, 2011, 146–147: 1519–1523
Xue Y. Optimization Theory and Method (in Chinese). Beijing: Beijing University of Technology Press, 2001
Zhang J, Wang L F, Ye J S. Nonlinear mechanical properties of concrete beam with carbon fiber reinforced composite rebars (in Chinese). Acta Mater Compos Sin, 2009, 26(2): 156–162
Yuan Y, Sun Y Z, Cheng L, et al. Power system low frequency oscillation monitoring and analysis based on multi-signal online identification, Sci China Tech Sci, 2010, 53(9): 2589–2596
Zhang J, Ai J, Zhou C W, et al. Mechanical reponses of HPC beam with prestressed CFRP rebars subjected to cyclic loading (in Chinese). J Nanjing Univ Aeronaut Astron, 2011, 43(1): 115–119
Wang S Y, Yang D Q, Liu G H, et al. Optimization Theory, Method and Engineering Application (in Chinese). Hangzhou: Zhejiang University Press, 1991
Zhang J, Lan W G, Yu B. Stochastic Gaussian optimized inversion of mechanical parameters of reinforced concrete single T-shaped beam. Adv Mater Res, 2011, 163-164: 1874–1878
Babu K, Devdas M. Correction of errors in simplified transverse bending analysis of concrete box-girder bridges. J Bridge Eng, 2005, 10(6): 650–657
Hinton E, Owen D R J. Finite Element Software for Plates and Shells. Swansea: U. K. Pinebridge Press, 1984
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Zhang, J., Zhou, C. & Lin, J. Dynamic Bayesian identification of mechanical parameters of multi-cell curve box girder based on conjugate gradient theory. Sci. China Technol. Sci. 55, 1057–1065 (2012). https://doi.org/10.1007/s11431-011-4741-1
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DOI: https://doi.org/10.1007/s11431-011-4741-1