Damage Detection in Beam-like Structures Applying Finite Volume Method

Document Type : Regular Paper

Authors

1 Assistant Professor, Faculty of Engineering, Imam Khomeini International University, Qazvin, Iran

2 Ph.D. Student, Faculty of Engineering, Imam Khomeini International University, Qazvin, Iran

Abstract

In this article, a damage location in beam like-structure is determined using static and dynamic data obtained applying the finite volume method. The modification of static and dynamic displacement due to damage is applied to establish an indicator for determining the damage location. In order to assess the robustness of the proposed method for structural damage detection, three test examples including static analysis, free vibration analysis and buckling analysis for a simply supported beam having a number of damage scenarios are taken into account. The acquired results demonstrate that the method can accurately locate the single and multiple structural damages in considering the measurement noise. Finite volume method results provided in this study for finding the damage location is compared with the same indicator derived via finite element method in order to evaluate the efficiency of FVM. The acquired results are indicated a good match between both the Finite Volume method and Finite Element method, and there are rational correlations between them.

Keywords

Main Subjects

References

[1] Cawley, P. and Adams, R.D. (1979), “The location of defects in structures from measurements of natural frequency”, The Journal of Strain Analysis for Engineering Design, Vol.14(2), pp.49-57.
[2] Messina A., Williams E.J., Contursi T. (1998),  “Structural damage detection by a sensitivity and statistical-based method”, Journal of Sound and Vibration, Vol. 216, pp.791–808.
 [3] Wang X., Hu N., Fukunaga H., Yao Z.H. (2001), “Structural damage identification using static test data and changes in frequencies”, Eng. Struct., Vol.23, pp. 610–621.
[4] Rytter, A. (1993), “Vibration Based Inspection of Civil Engineering Structures”. PhD Thesis, Aalborg University, Denmark.
[5] He R.S., Hwang S.F. (2007), “Damage detection by a hybrid real-parameter genetic algorithm under the assistance of grey relation analysis”, Eng. Appl. Artif. Intell, Vol. 20, pp.980–992.
[6] Yang Yang, He Liu, Khalid M. Mosalam, and Shengnan Huang. (2013). “An improved direct stiffness calculation method for damage detection of beam structures”. Structural Control and Health Monitoring,  Vol.20 (5), pp.835-851.
[7] Pandey, A.K. and Biswas, M. (1994), “Damage detection in structures using changes in flexibility”, Journal of Sound and Vibration, Vol.169(1), pp.3–17.
[8] Jaishi, B., Ren, W.X.. (2006). “Damage detection by finite element model updating using modal flexibility residual”. Journal of Sound and Vibration. Vol. 290, pp.369–387.
[9] Miguel, L.F.F., Miguel, L.F.F., Riera, J.D., Menezes, R.C.R. (2007). “Damage detection in truss structures using a flexibility based approach with noise influence consideration”. Structural Engineering and Mechanics, Vol.27, pp.625–638. 
[10] Li, J., Wu, B., Zeng, Q.C. and Lim, C.W. (2010). “A generalized flexibility matrix based approach for structural damage detection”. Journal of Sound and Vibration, Vol.329, pp.4583–4587.
[11] Wang, Z., Lin, R., Lim, M. (1997), “Structural damage detection using measured FRF data”. Computer Methods in Applied Mechanics and Engineering,Vol.147, pp.187–197.
[12] Begambre O., Laier J.E. (2009), “A hybrid particle swarm optimization—simplex algorithm (PSOS) for structural damage identification”, Advances in Engineering Software, Vol.40, pp. 883–891.
[13] Huang Q., Xu Y.L., Li J.C., Su Z.Q., Liu H.J. (2012), “Structural damage detection of controlled building structures using frequency response functions”, Journal of Sound and Vibration, Vol. 331, pp.3476–3492.
[14] Naderpour H., Fakharian P. (2016), “A synthesis of peak picking method and wavelet packet transform for structural modal identification”, KSCE Journal of Civil Engineering,Vol.20(7),pp.2859–2867.
[15] 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. Nonlinear Mech, Vol.47, pp.1–8.
[16] Nobahari, M. and Seyedpoor, S.M. (2013), “An efficient method for structural damage localization based on the concepts of flexibility matrix and strain energy of a structure”, Structural Engineering and Mechanics, Vol.46(2), pp.231-244.
[17] Seyedpoor, S.M. and Yazdanpanah, O. (2013). “An efficient indicator for structural damage localization using the change of strain energy based on static noisy data”. Appl. Math. Modelling, Vol38(9-10), pp.2661-2672.
[18] Fallah N., Hatami F. (2006), “A displacement formulation based on finite volume method for analysis of Timoshenko beam”,  Proceedings of the 7th international conference on civil engineering, Tehran, Iran.
[19] Fallah N. (2013), “Finite volume method for determining the natural characteristics of structures”, Journal of Engineering Science and Technology, Vol. 8, pp.93-106.
[20] Wheel M. (1997), “A finite volume method for analysing the bending deformation of thick and thin plates”, Computer Methods in Applied Mechanics and Engineering, Vol. 147, pp. 199-208.
[21] Fallah N. (2004), “A cell vertex and cell centred finite volume method for plate bending analysis”, Computer Methods in Applied Mechanics and Engineering, Vol.193, pp. 3457-3470.
[22] Bailey A. C., Cross M. (2003), “Dynamic solid mechanics using finite volume methods”, Applied mathematical modelling, Vol. 27, pp. 69-87.
[23] Cardiff P., Karač A., Ivanković A.  (2014), “A large strain finite volume method for orthotropic bodies with general material orientations”, Computer Methods in Applied Mechanics and Engineering, Vol. 268, pp. 318-335.
[24] Ivankovic A., Demirdzic I., Williams J., Leevers P. (1994), “Application of the finite volume method to the analysis of dynamic fracture problems”, International journal of fracture, Vol. 66, pp. 357-371.
[25] Bailey C., Cross M. (1995), “A finite volume procedure to solve elastic solid mechanics problems in three dimensions on an unstructured mesh”, International journal for numerical methods in engineering, Vol. 38, pp. 1757-1776.
[26] Oñate E., Zienkiewicz O., Cervera M. (1992), “A finite volume format for structural mechanics”, Centro Internacional de Métodos Numéricos en Ingeniería.
[27] Demirdžić I., Muzaferija S., Perić M. (1997), “Benchmark solutions of some structural analysis problems using finite volume method and multigrid acceleration”, International journal for numerical methods in engineering, Vol. 40 pp. 1893-1908.
[28] Pandey A.K., Biswas M., Samman M.M. (1991), “Damage detection from changes in curvature mode shapes”, Journal of Sound and Vibration, Vol. 145, pp. 321–332.
[29] Abdel Wahab M.M., De Roeck G. (1999), “Damage detection in bridges using modal curvatures: application to a real damage scenario”, Journal of Sound and Vibration, Vol. 226, pp. 217–235.

Files

History

  • Receive Date: 18 February 2017
  • Revise Date: 13 June 2017
  • Accept Date: 09 July 2017

Share

How to cite

Statistics