Steel and Composite Structures

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Structural system identification including shear deformation of composite bridges from vertical deflections

  • Emadi, Seyyedbehrad (Department of Civil and Environmental Engineering, Universitat Politecnica de Catalunya (UPC) BarcelonaTECH) ;
  • Lozano-Galant, Jose A. (Department of Civil Engineering, University of Castilla-La Mancha) ;
  • Xia, Ye (Department of Bridge Engineering, Tongji University) ;
  • Ramos, Gonzalo (Department of Civil and Environmental Engineering, Universitat Politecnica de Catalunya (UPC) BarcelonaTECH) ;
  • Turmo, Jose (Department of Civil and Environmental Engineering, Universitat Politecnica de Catalunya (UPC) BarcelonaTECH)
  • Received : 2019.01.11
  • Accepted : 2019.09.08
  • Published : 2019.09.25
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Abstract

Shear deformation effects are neglected in most structural system identification methods. This assumption might lead to important errors in some structures like built up steel or composite deep beams. Recently, the observability techniques were presented as one of the first methods for the inverse analysis of structures including the shear effects. In this way, the mechanical properties of the structures could be obtained from the nodal movements measured on static tests. One of the main controversial features of this procedure is the fact that the measurement set must include rotations. This characteristic might be especially problematic in those structures where rotations cannot be measured. To solve this problem and to increase its applicability, this paper proposes an update of the observability method to enable the structural identification including shear effects by measuring only vertical deflections. This modification is based on the introduction of a numerical optimization method. With this aim, the inverse analysis of several examples of growing complexity are presented to illustrate the validity and potential of the updated method.

Keywords

Acknowledgement

Supported by : Spanish Ministry of Economy and Competitiveness, National Natural Science Foundation of China

References

  1. AASTHO (2017), LRFD Bridge Design Specifications, (8th Edition), American Association of State Highway and Transportation Officials; Washington, DC, USA.
  2. Abdo, M. (2012), "Parametric study of using only static response in structural damage detection", Eng. Struct., 34, 124-131. https://doi.org/10.1016/j.engstruct.2011.09.027
  3. Altunisik, A.C., Gunaydin, M., Sevim, B. and Adanur, S. (2017), "System identification of arch dam model strengthened with CFRP composite materials", Steel Compos. Struct., Int. J., 25(2), 231-244. https://doi.org/10.12989/scs.2017.25.2.231
  4. Araki, Y. and Miyagi, Y. (2005), "Mixed integer nonlinear leastsquares problem for damage detection in truss structures", J. Eng. Mech., 131(7), 659-667. https://doi.org/10.1061/(ASCE)0733-9399(2005)131:7(659)
  5. American Society of Civil Engineers (2013), Structural Identification of Constructed Systems, American Society of Civil Engineers, Reston, VA, USA.
  6. Breuer, P., Chmielewski, T., Gorski, P., Konopka, E. and Tarczynski, L. (2015), "Monitoring horizontal displacements in a vertical profile of a tall industrial chimney using Global Positioning System technology for detecting dynamic characteristics", Struct. Control Health Monitor., 22(7), 1002-1023. https://doi.org/10.1002/stc.1730
  7. Castillo, E., Cobo, A., Jubete, F., Pruneda, R.E. and Castillo, C. (2000), "An orthogonally based pivoting transformation of matrices and some applications", SIAM J. Matrix Anal. Appl., 22(3), 666-681. https://doi.org/10.1137/S0895479898349720
  8. Castillo, E., Jubete, F., Pruneda, R.E. and Solares, C. (2002), "Obtaining simultaneous solutions of linear subsystems of equations and inequlities", Linear Algebra Appl., 364(1-3), 131-154. https://doi.org/10.1016/S0024-3795(01)00500-6
  9. Castillo, E., Conejo, A.J., Pruneda, R.E. and Solares, C. (2007), "Observability in linear systems of equations and inequalities: applications", Comput. Operat. Res., 34(6) 1708-1720. https://doi.org/10.1016/j.cor.2005.05.035
  10. Castillo, E., Nogal, M., Lozano-Galant, J.A. and Turmo, J. (2016), "Solving some special cases of monomial ratio equations appearing frequently in physical and engineering problems", Math. Problems Eng. http://dx.doi.org/10.1155/2016/9764913
  11. Chen, Y.S. and Yen, B.T. (1980), "Analysis of Composite Box Girders", Report N0 380.12; Fritz Engineering Laboratory Library.
  12. Deretic-Stojanovic, B. and Kostic, S.M. (2017), "A simplified matrix stiffness method for analysis of composite and prestressed beams", Steel Compos. Struct., Int. J., 24(1), 53-63. https://doi.org/10.12989/scs.2017.24.1.053
  13. Dong, X. Zhao, L. Xu, Z. Du, S. Wang, S. Wang, X. and Jin, W. (2017), "Construction of the Yunbao Bridge over the yellow river", EASEC-15; Xi'an, China.
  14. Dowling, J., Obrien, E.J. and Gonzalez, A. (2012), "Adaptation of Cross Entropy optimization to a dynamic Bridge WIM calibration problem", Eng. Struct., 44, 13-22. https://doi.org/10.1016/j.engstruct.2012.05.047
  15. Eurocode (2005), Design of Concrete Structures-Concrete Bridges-Design and Detailing Rules, European Committee for Standardization: Brussels, Belgium.
  16. Gevers, M. (2006), "A personal view of the development of system identification: A 30-year journey through an exciting field", IEEE Control Syst., 26(6), 93-105. https://doi.org/10.1109/MCS.2006.252834
  17. Gorski, P., Stankiewicz, B. and Tatara, M. (2018), "Structural evaluation of all-GFRP cable-stayed footbridge after 20 years of service life", Steel Compos. Struct., Int. J., 29(4), 527-543. https://doi.org/10.12989/scs.2018.29.4.527
  18. Gracia-Palencia, A.J., Santini-Bell, E., Sipple, J.D. and Sanayi, M. (2015), "Structural model updating of an in-service bridge using dynamic data", Struct. Control Health Monitor., 22(10), 1265-1281. https://doi.org/10.1002/stc.1742
  19. Hou, Z., Xia, H., Y, W., Zhang, Y. and Zhang, T. (2015), "Dynamic analysis and model test on steel-concrete composite beams under moving loads", Steel Compos. Struct., Int. J., 18(3), 565-582. https://doi.org/10.12989/scs.2015.18.3.565
  20. Huo, R., Liu, W., Wu, P. and Zhou, D. (2017), "Analytical solutions for sandwich plates considering permeation effect by 3-D elasticity theory", Steel Comp os. Struct., Int. J., 25(2), 127-139. https://doi.org/10.12989/scs.2017.25.2.127
  21. Kahya, V. and Turan, M. (2018), "Vibration and buckling of laminated beams by a multi-layer finite element model", Steel Compos. Struct., Int. J., 28(4), 415-426. https://doi.org/10.12989/scs.2018.28.4.415
  22. Karabelivo, K., Cue'llar, P., Baebler, M. and Rucker, W. (2015), "System identification of inverse, multimodal and nonlinear problem using evolutionary computing-application to a pile structure supported in nonlinear springs", Eng. Struct., 101, 609-620. https://doi.org/10.1016/j.engstruct.2015.07.034
  23. Khayat, M., Poorveis, D. and Moradi, S (2017), "Buckling analysis of functionally graded truncated conical shells under external displacement-dependent pressure", Steel Compos. Struct., Int. J., 23(1), 1-16. https://doi.org/10.12989/scs.2017.23.1.001
  24. Kumar, P. and Srinivas, J. (2018), "Transient vibration analysis of FG-MWCNT reinforced composite plate resting on foundation", Steel Compos. Struct., Int. J., 29(5), 569-578. https://doi.org/10.12989/scs.2018.29.5.569
  25. Lee, J.W., Coi, K.H. and Huh, Y.C. (2010), "Damage detection method for large structures using static and dynamic strain data from distributed fiber optic sensor", Int. J. Steel Struct., 10(1), 91-97. https://doi.org/10.1007/BF03249515
  26. Lei, J., Lozano-Galant, J.A., Nogal, M., Xu, D. and Turmo, J. (2016), "Analysis of measurement and simulation errors in structural system identification by observability techniques", Struct. Control Health Monitor., 24(6), e1923. https://doi.org/10.1002/stc.1923
  27. Lei, J., Xu, D. and Turmo, J. (2017a), "Static structural system identification for beam-like structures using compatibility conditions", Struct. Control Health Monitor., 25(1), e2062. https://doi.org/10.1002/stc.2062
  28. Lei, J., Nogal, M., Lozano-Galant, J.A., Xu, D. and Turmo, J. (2017b), "Constrained observability method in static structural system identification", Struct. Control Health Monitor., 25(1), e2040. https://doi.org/10.1002/stc.1766
  29. Lei, J., Lozano-Galant, J.A., Xu, D. and Turmo, J. (2019), "Structural system identification by measurement errorminimizing observability method", Struct. Control Health Monitor., e2425. https://doi.org/10.1002/stc.2425
  30. Li, J., Huo, Q., Li, X., Kong, X. and Wu, W. (2014), "Dynamic stiffness analysis of steel-concrete composite beams", Steel Compos. Struct., Int. J., 16(6), 577-593. https://doi.org/10.12989/scs.2014.16.6.577
  31. Li, Z., Park, H.S. and Adeli, H. (2017a), "New method for modal identification of super high-rise building structures using discretized synchrosqueezed wavelet and Hilbert transforms", Struct. Des. Tall Special Build., 26(3), e1312. https://doi.org/10.1002/tal.1312
  32. Li, J., Jiang, L. and Li, X. (2017b), "Free vibration of a steelconcrete composite beam with coupled longitudinal and bending motions", Steel Compos. Struct., Int. J., 24(1), 79-91. https://doi.org/10.12989/scs.2017.24.1.079
  33. Liao, J., Tang, G., Meng, L., Liu, H. and Zhang, Y. (2012), "Finite element model updating based on field quasi-static generalized influence line and its bridge engineering application", Procedia Eng., 31, 348-353. https://doi.org/10.1016/j.proeng.2012.01.1035
  34. Lozano-Galant, J.A., Nogal, M., Castillo, E. and Turmo, J. (2013), "Application of observability techniques to structural system identification", Comput.-Aided Civil Infrastruct. Eng., 28(6), 434-450. https://doi.org/10.1111/mice.12004
  35. Lozano-Galant, J.A., Nogal, M., Paya-Zaforteza, I. and Turmo, J. (2014), "Structural system identification of cable-stayed bridges with observability techniques", Struct. Infrastruct. Eng., 10(11), 1331-1344. https://doi.org/10.1080/15732479.2013.807292
  36. Lozano-Galant, J.A., Nogal, M., Turmo, J. and Castillo, E. (2015), "Selection of measurement sets in static structural identification of bridges using observability trees", Comput. Concrete, Int. J., 15(5), 771-794. https://doi.org/10.12989/cac.2015.15.5.771
  37. MATLAB and Optimization Toolbox Release (2017), The MathWorks, Inc., Natick, MA, USA.
  38. Mei, L., Mita, A. and Zhou, J. (2016), "An improved substructural damage detection approach of shear structure based on ARMAX model residual", Struct. Control Health Monitor., 23(2), 218-236. https://doi.org/10.1002/stc.1766
  39. Nguyen, D.K. and Tran, T.T. (2018), "Free vibration of tapered BFGM beams using an efficient shear deformable finite element model", Steel Compos. Struct., Int. J., 29(3), 363-377. https://doi.org/10.12989/scs.2018.29.3.363
  40. Nogal, M., Lozano-Galant, J.A., Turmo, J. and Castillo, E. (2015), "Numerical damage identification of structures by observability techniques based on static loading tests", Struct. Infrastruct. Eng., 12(9), 1216-1227. https://doi.org/10.1080/15732479.2015.1101143
  41. Pajonk, O. (2009), "Overview of System Identification with Focus on Inverse Modeling", Technische Universitat Braunschweig, 63.
  42. Pisano, A.A. (1999), "Structural System Identification: Advanced Approaches and Applications", PhD. Dissertation; Universita di Pavia, Italy.
  43. Przemieniecki, J.S. (1968), Theory of Matrix Structural Analysis, Library of Congress Catalog Card Number.
  44. Sayyad, A.S. (2011), "Comparison of various refined beam theories for the bending and free vibration analysis of thick beams", Appl. Computat. Mech., 5, 217-230.
  45. Singh, S.K. and Chakrabarti, A. (2017), "Hygrothermal analysis of laminated composites using C0 FE model based on higher order zigzag theory", Steel Compos. Struct., Int. J., 23(1), 41-51. https://doi.org/10.12989/scs.2017.23.1.041
  46. Sirca Jr., G.F. and Adeli, H. (2012), "System identification in structural engineering", Scientia Iranica, 19(6), 1355-1364. https://doi.org/10.1016/j.scient.2012.09.002
  47. Soto, I.L. and Rojas, A.L. (2017), "Modeling for fixed-end moments of I-sections with straight haunches under concentrated load", Steel Compos. Struct., Int. J., 23(5), 597-610. https://doi.org/10.12989/scs.2017.23.5.597
  48. Thirumalaiselvi, A., Anandavalli, N., Rajasankar, J. and Iyer, N.R (2016), "Numerical evaluation of deformation capacity of laced steel-concrete composite beams under monotonic loading", Steel Compos. Struct., Int. J., 20(1), 167-184. https://doi.org/10.12989/scs.2016.20.1.167
  49. Timoshenko, S.P. (1921), "On the correction for shear of the differential equation for transverse vibrations of prismatic bars", Philosophical Magazine, 41(6), 744-746. https://doi.org/10.1080/14786442108636264
  50. Tomas, D., Lozano-Galant, J.A., Ramos, G. and Turmo, J. (2018), "Structural system identification of thin web bridges by observability techniques considering shear deformation", Thin-Wall. Struct., 123, 282-293. https://doi.org/10.3390/s18040970
  51. Vicente, M.A., Gonzalez, D.C., Minguez, J. and Schumacher, T (2018), "A novel laser and video-based displacement transducer to monitor bridge deflections", Sensors, 18(4), 970-985. https://doi.org/10.3390/s18040970
  52. Walsh, B.J. and Gonzalez, A. (2009), "Assessment of the condition of a beam using a static loading test", Key Eng. Mater., 413-414, 269-276. https://doi.org/10.4028/www.scientific.net/KEM.413-414.269
  53. Wang, J., Li, T. and Luo, L. (2018), "Theoretical and experimental study on deflection of steel-concrete composite truss beams", Steel Compos. Struct., Int. J., 29(1), 91-106. https://doi.org/10.12989/scs.2018.29.1.091
  54. Yan, A. and Golinval, J. (2005), "Structural damage localization by combining flexibility and stiffness methods", Eng. Struct., 27(12), 1752-1761. https://doi.org/10.1016/j.engstruct.2005.04.017
  55. Yang, Y., Chen, Y., Zhang, J., Xue, Y., Liu, R. and Yu, Y. (2018), "Experimental investigation on shear capacity of partially prefabricated steel reinforced concrete columns", Steel Compos. Struct., Int. J., 28(1), 73-82. https://doi.org/10.12989/scs.2018.28.1.073

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