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An improved modal strain energy method for structural damage detection, 2D simulation

  • Moradipour, Parviz (School of Civil Engineering & Built Environment, Science and Engineering Faculty, Queensland University of Technology) ;
  • Chan, Tommy H.T. (School of Civil Engineering & Built Environment, Science and Engineering Faculty, Queensland University of Technology) ;
  • Gallag, Chaminda (School of Civil Engineering & Built Environment, Science and Engineering Faculty, Queensland University of Technology)
  • Received : 2014.04.21
  • Accepted : 2014.12.16
  • Published : 2015.04.10

Abstract

Structural damage detection using modal strain energy (MSE) is one of the most efficient and reliable structural health monitoring techniques. However, some of the existing MSE methods have been validated for special types of structures such as beams or steel truss bridges which demands improving the available methods. The purpose of this study is to improve an efficient modal strain energy method to detect and quantify the damage in complex structures at early stage of formation. In this paper, a modal strain energy method was mathematically developed and then numerically applied to a fixed-end beam and a three-story frame including single and multiple damage scenarios in absence and presence of up to five per cent noise. For each damage scenario, all mode shapes and natural frequencies of intact structures and the first five mode shapes of assumed damaged structures were obtained using STRAND7. The derived mode shapes of each intact and damaged structure at any damage scenario were then separately used in the improved formulation using MATLAB to detect the location and quantify the severity of damage as compared to those obtained from previous method. It was found that the improved method is more accurate, efficient and convergent than its predecessors. The outcomes of this study can be safely and inexpensively used for structural health monitoring to minimize the loss of lives and property by identifying the unforeseen structural damages.

Keywords

References

  1. Asgarian, B., Amiri, M. and Ghafooripour, A. (2009), "Damage detection in jacket type offshore platforms using modal strain energy", Struct. Eng. Mech., 33(2), 325-337. https://doi.org/10.12989/sem.2009.33.3.325
  2. Brehm, M., Zabel, V. and Bucher, C. (2010), "An automatic mode pairing strategy using an enhanced modal assurance criterion based on modal strain energies", J. Sound. Vib., 329, 5375-5392. https://doi.org/10.1016/j.jsv.2010.07.006
  3. Chan, T.H.T. and Thambiratnam, D.P. (2011), Structural Health Monitoring in Australia, Nova Science Publishers, New York, NY, USA.
  4. Ding, Q., Zou, C., Tang, Y. and Zhang, S. (2013), "Damage detection in road and bridge based on modal strain energy method", ICTE(C) American Society of Civil Engineers (ASCE), 1753-1758.
  5. Hu, H.C. (1987), The Vibration Theory of Multiple Freedom System, Science Press, China.
  6. Hu, H., Wu, C. and Lu, W.J. (2011), "Damage detection of circular hollow cylinder using modal strain energy and scanning damage index methods", Comput. Struct., 89, 149-160. https://doi.org/10.1016/j.compstruc.2010.08.011
  7. Kisa, M. and Gurel, M.A. (2005), "Modal analysis of cracked cantilever composite beams", Struct. Eng. Mech., 20(2), 143-160. https://doi.org/10.12989/sem.2005.20.2.143
  8. Li, L., Hun, Y. and Wang, X. (2013), "Numerical methods for evaluating the sensitivity of element modal strain energy", Finite Elem. Anal. Des., 64, 13-23. https://doi.org/10.1016/j.finel.2012.09.006
  9. Moradipour, P., Chan, T.H.T and Gallage, C. (2013), "Health monitoring of short- and medium-span bridges using an improved modal strain energy method", Proceedings of the 5th International Workshop on Civil Structural Health Monitoring(CSHM-5), Ube, Japan, October.
  10. Seyedpoor, S.M. (2012), "A two-stage method for structural damage detection using a modal strain energy based index and particle swarm optimization", Int. J. Nonlin. Mech., 47, 1-8.
  11. Shi, Z.Y., Ding, X.H. and Gu, H.Z. (1995), "A new model reduction and expansion method", Proceedings of the International Conference on Structural Dynamics, Vibration, Noise and Control, Hong Kong.
  12. Shi, Z.Y., Law, S.S. and Zhang, L.M. (2000), "Structural damage detection from modal strain energy change", J. Eng. Mech., 126, 1216-1223. https://doi.org/10.1061/(ASCE)0733-9399(2000)126:12(1216)
  13. Shih, H.W., Thambiratnam, D.P. and Chan, T.H.T. (2009), "Vibration based structural damage detection in flexural members using multi-criteria approach", J. Sound. Vib., 323, 645-661. https://doi.org/10.1016/j.jsv.2009.01.019
  14. Srinivas, V., Ramanjaneyulu, K. and Jeyasehar, C.A. (2010), "Multi-stage approach for structural damage identification using modal strain energy and evolutionary optimization techniques", Struct. Hlth. Monit., 10(2), 219-230.
  15. Wahalthantri, B., Thambiratnam, D.P., Chan, T.H.T. and Fawzia, S. (2012), "An improved method to detect damage using modal strain energy based damage index", Adv. Struct. Eng., 15, 727-742. https://doi.org/10.1260/1369-4332.15.5.727
  16. Wang, F.L., Chan, T.H.T., Thambiratnam, D.P., Tan, A.C. and Cowled, C.J. (2012), "Correlation-based damage detection for complicated truss bridges using multi-layer genetic algorithm", Adv. Struct. Eng., 15, 693-706. https://doi.org/10.1260/1369-4332.15.5.693
  17. Wang, L., Chan, T.H.T., Thambiratnam, D.P. and Tan, A. (2010), "Damage detection for truss bridge structures using correlation-based structural modal strain energy", Proceedings of the 8th International Conference on Short and Medium Span Bridges, Niagara Falls, Canada, August.
  18. Wang, S. (2013), "Iterative modal strain energy method for damage severity estimation using frequency measurements", Struct. Control Hlth. Monit., 20, 230-240. https://doi.org/10.1002/stc.495
  19. Wang, S., Zhang, M. and Liu, F. (2013), "Estimation of semi-rigid joints by cross modal strain energy method", Struct. Eng. Mech., 47(6), 757-771. https://doi.org/10.12989/sem.2013.47.6.757
  20. Wu, H.S. and Sun, L.M. (2011), "Comparison and improvements of two damage identification methods based on modal strain energy", Proceedings of the Sensors and Smart Structures Technologies for Civil, Mechanical, and Aerospace Systems, San Diego, USA, April.
  21. Yan, W.J., Ren, W.X. and Huang, T.L. (2012), "Statistic structural damage detection based on the closed-form of element modal strain energy sensitivity", Mech. Syst. Signal Pr., 28, 183-194. https://doi.org/10.1016/j.ymssp.2011.04.011
  22. Yan, Y.J., Yang, H.F., Wu Z.Y. and Ge, X. (2010), "Damage detection method for composite structures based on a combined technique of cross modal strain energy and niche genetic algorithms", J. Vib. Cont., 16(11), 1673-1683. https://doi.org/10.1177/1077546309104879

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