Damage detection of multi-girder bridge superstructure based on the modal strain approaches

Document Type: Invited by Hamid Ahmadian

Authors

1 Assistant Professor, Civil Engineering Department, Quchan University of Technology, Quchan, Iran

2 Professor, Civil Engineering Department, Ferdowsi University of Mashhad, Mashhad, Iran

3 Assistant Professor- Retired, Civil Engineering Department, Ferdowsi University of Mashhad, Mashhad, Iran

10.22064/tava.2019.97819.1123

Abstract

The research described in this paper focuses on the application of modal strain techniques on a multi-girder bridge superstructure with the objectives of identifying the presence of damage and detecting false damage diagnosis for such structures. The case study is a one-third scale model of a slab-on-girder composite bridge superstructure, comprised of a steel-free concrete deck with FRP rebars supported by four steel girders, similar to North Perimeter Red River Bridge in Winnipeg, Manitoba. The modal test data of the slab-on-girder specimen are analyzed by two mathematical methods and Mindlin approach. The Mindlin approach uses a small number of sensors and only the fundamental mode of vibration to obtain the modal strains. The unit-area normalization method produces a more precise damage patternbased on the Mindlin approach than the widely used unit-norm method and is thus a superior method for locating damage in multi-girder bridge structures. A new method is proposed to distinguish the false damage diagnosis that is common in multi-girder systems. Based on the invariant stress resultant theory and direct stiffness assumptions, a level III damage detection process is applied successfully to indicate damage localization and severity estimation of the damaged girder.

Highlights

  • A level III Damage identification method for composite bridges is proposed.
  • The influences of two normalization methods on Mindlin modal strains are studied.
  • A new approach is suggested to distinguish the spurious damage diagnosis.
  • The amount of damage is estimated by using the invariant stress theory and DSC method.

Keywords


[1] A. Rytter, Vibrational based inspection of civil engineering structures, in, Dept. of Building Technology and Structural Engineering, Aalborg University, 1993.
[2] J. Maeck, Damage assessment of civil engineering structures by vibration monitoring, in: Department of Civil Engineering, K.U.Leuven, Belgium (2003).
[3] M. Cao, L. Ye, L. Zhou, Z. Su, R. Bai, Sensitivity of fundamental mode shape and static deflection for damage identification in cantilever beams, Mechanical Systems and Signal Processing, 25 (2011) 630-643.
[4] Y.Y. Li, Hypersensitivity of strain-based indicators for structural damage identification: A review, Mechanical Systems and Signal Processing, 24 (2010) 653-664.
[5] J. Moughty, J. Casas, A state of the art review of modal-based damage detection in bridges: development, challenges, and solutions, Applied Sciences, 7 (2017) 510-534
[6] D. Anastasopoulos, M. De Smedt, L. Vandewalle, G. De Roeck, E.P.B. Reynders, Damage identification using modal strains identified from operational fiber-optic Bragg grating data, Structural Health Monitoring, 17 (2018) 1441-1459.
[7] J. Ciambella, A. Pau, F. Vestroni, Modal curvature-based damage localization in weakly damaged continuous beams, Mechanical Systems and Signal Processing, 121 (2019) 171-182.
[8] A.K. Pandey, M. Biswas, M.M. Samman, Damage detection from changes in curvature mode shapes, Journal of sound and vibration, 145 (1991) 321-332.
[9] O.S. Salawu, C. Williams, Bridge assessment using forced-vibration testing, Journal of structural engineering, 121 (1995) 161-173.
[10] M.M. Wahab, G. De .Roeck, Damage detection in bridges using modal curvatures: application to a real damage scenario, Journal of Sound and vibration, 226 (1999) 217-235.
[11] J. Maeck, G. De Roeck, Dynamic bending and torsion stiffness derivation from modal curvatures and torsion rates, Journal of Sound and Vibration, 225 (1999) 153-170.
[12] S. Dincal, N. Stubbs, Nondestructive damage detection in Euler–Bernoulli beams using nodal curvatures—Part I: Theory and numerical verification, Structural Control and Health Monitoring, 21 (2014) 303-316.
[13] S. Dincal, N. Stubbs, Nondestructive damage detection in Euler–Bernoulli beams using nodal curvatures—Part II: Field measurements, Structural Control and Health Monitoring, 21 (2014) 331-341.
[14] S. Dincal, N. Stubbs, Damage evaluation of Timoshenko beams using invariant stress resultants, Engineering Structures, 56 (2013) 2052-2064.
[15] J. Zhang, Non-Destructive Evaluation Method Based On Dynamic Invariant Stress Resultants, in:  M.Sc. thesis, Texas A&M University, 2015.
[16] J. Zhang, R. Barroso, S. Hurlebaus, N. Stubbs, Non-Destructive Evaluation Method Based On Dynamic Invariant Stress Resultants, in, 6th International Conference on Experimental Vibration Analysis for Civil Engineering Structures, EDP Sciences, 2015.
[17] Y. Wang, H. Hao, Damage identification of slab–girder structures: experimental studies, Journal of civil structural health monitoring, 3 (2013) 93-103.
[18] A. Morassi, L. Rocchetto, A damage analysis of steel-concrete composite beams via dynamic methods: Part I. Experimental results, Modal Analysis, 9 (2003) 507-527.
[19] M. Dilena, A. Morassi, A damage analysis of steel-concrete composite beams via dynamic methods: Part II. Analytical models and damage detection, Modal Analysis, 9 (2003) 529-565.
[20] M. Dilena, A. Morassi, Vibrations of steel–concrete composite beams with partially degraded connection and applications to damage detection, Journal of Sound and Vibration, 320 (2009) 101-124.
[21] K. Liu, G. De Roeck, Damage detection of shear connectors in composite bridges, Structural Health Monitoring, 8 (2009) 345-356.
[22] H.W. Shih, D.P. Thambiratnam, T.H.T. Chan, Damage detection in slab‐on‐girder bridges using vibration characteristics, Structural Control and Health Monitoring, 20 (2013) 1271-1290.
[23] Y. Xia, H. Hao, A.J. Deeks, Dynamic assessment of shear connectors in slab–girder bridges, Engineering Structures, 29 (2007) 1475-1486.
[24] Y. Wang, Vibration-Based Damage Detection on a Multi-Girder Bridge Superstructure, in, University of Saskatchewan, 2011.
[25] O. Huth, G. Feltrin, J. Maeck, N. Kilic, M. Motavalli, Damage identification using modal data: Experiences on a prestressed concrete bridge, Journal of Structural Engineering, 131 (2005) 1898-1910.
[26] C.P. Ratcliffe, Damage detection using a modified Laplacian operator on mode shape data, Journal of Sound and Vibration, 204 (1997) 505-517.
[27] Y.K. Ho, D.J. Ewins, On the structural damage identification with mode shapes, in:  International conference on system identification and structural health monitoring, 2000, pp. 677-686.
[28] Y. Yang, H. Liu, K.M. Mosalam, S. Huang, An improved direct stiffness calculation method for damage detection of beam structures, Structural Control and Health Monitoring, 20 (2013) 835-851.
[29] Y. Yang, K.M. Mosalam, G. Liu, X. Wang, Damage Detection Using Improved Direct Stiffness Calculations—A Case Study, International Journal of Structural Stability and Dynamics, 16 (2016) 1640002.
[30] N. Stubbs, J.T. Kim, K. Topole, An efficient and robust algorithm for damage localization in offshore platforms, in:  Proceedings of the ASCE 10th structures congress, 1992, pp. 543-546.
[31] N. Stubbs, J.T. Kim, C.R. Farrar, Field verification of a nondestructive damage localization and severity estimation algorithm, in:  Proceedings-SPIE the international society for optical engineering, SPIE International Society for Optical, 1995, pp. 210-218.
[32] K. Topole, N. Stubbs, Non‐destructive damage evaluation of a structure from limited modal parameters, Earthquake engineering & structural dynamics, 24 (1995) 1427-1436.
[33] Z.Y. Shi, S.S. Law, L.M. Zhang, Structural damage detection from modal strain energy change, Journal of engineering mechanics, 126 (2000) 1216-1223.
[34] Z.Y. Shi, S.S. Law, L.M. Zhang, Improved damage quantification from elemental modal strain energy change, Journal of engineering mechanics, 128 (2002) 521-529.
[35] A. Alvandi, C. Cremona, Assessment of vibration-based damage identification techniques, Journal of sound and vibration, 292 (2006) 179-202.
[36] P. Cornwell, S.W. Doebling, C.R. Farrar, Application of the strain energy damage detection method to plate-like structures, Journal of sound and vibration, 224 (1999) 359-374.
[37] S. Choi, S. Park, N. Stubbs, Nondestructive damage detection in structures using changes in compliance, International Journal of Solids and Structures, 42 (2005) 4494-4513.
[38] J.D. Gibson, J.L. Melsa, Introduction to nonparametric detection with applications, Academic Press, 1976.
[39] A.J. Reiff, M. Sanayei, R.M. Vogel, Statistical bridge damage detection using girder distribution factors, Engineering Structures, 109 (2016) 139-151.
[40] R.L. Ott, An introduction to statistical methods and data analysis, Wadsworth Inc, USA, 1993.
[41] E. Kreyszig, Advanced Engineering Mathematics, 8-th edition, in, John Wiley & Sons, 1999.
[42] A.A. Mufti, L.G. Jaeger, B. Bakht, L.D. Wegner, Experimental investigation of fibre-reinforced concrete deck slabs without internal steel reinforcement, Canadian Journal of Civil Engineering, 20 (1993) 398-406.
[43] A.H. Salem, M.A. El-Aghoury, E.Y. Sayed-Ahmed, T.S. Moustafa, Composite steel-free deck bridges: Numerical modelling and pilot parametric study, Canadian Journal of Civil Engineering, 29 (2002) 662-678.
[44] B. Van den Branden, B. Peeters, G. De Roeck, Introduction to MACEC v2. 0: Modal analysis on civil engineering constructions, User Guide and Case Studies, Katholieke Universiteit Leuven, (1999).
[45] P. Van Overschee, B. De Moor, Subspace identification for linear systems: Theory—Implementation—Applications, Kluwer Academic Publishers. Dordrecht, the Netherlands 1996.
[46] Z. Zhou, Vibration-based damage detection of simple bridge superstructures, in Department of Civil and Geological Engineering, University of Saskatchewan, Saskatoon, 2006.
[47] S. Beskhyroun, L.D. Wegner, B.F. Sparling, New methodology for the application of vibration‐based damage detection techniques, Structural Control and Health Monitoring, 19 (2012) 632-649.
[48] N. Baghiee, M.R. Esfahani, K. Moslem, Studies on damage and FRP strengthening of reinforced concrete beams by vibration monitoring, Engineering Structures, 31 (2009) 875-893.
[49] A.B. Siddique, Structural health monitoring of Attridge Drive overpass, in, University of Saskatchewan, 2008.
[50] J.T. Kim, N. Stubbs, Model-uncertainty impact and damage-detection accuracy in plate girder, Journal of Structural Engineering, 121 (1995) 1409-1417.