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Off-line identification of dynamic loads

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Abstract

This paper considers off-line identification of spatial and temporal characteristics of a dynamic load, and is focused on the case of a limited number of sensors. Both elastic and elasto-plastic structural behaviours are taken into account. The identification is performed off-line, based on optimisation of modelled local structural responses, and—in the case of limited number of sensors—identifies an observationally equivalent load, which in a given sense optimally approximates the actual load. Compared to previous researches this approach allows to identify general dynamic loads of unknown locations, including multiple impacts and moving loads, and gives more insight into the identification process by distinguishing between the reconstructible and unreconstructible load components. Additionally, the problem of optimum sensor location is discussed.

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References

  1. Adams R, Doyle JF (2002) Multiple force identification for complex structures. Exp Mech 42(1):25–36

  2. Chan THT, Yu L, Law SS (2001) Moving force identification studies: theory. J Sound Vib 247(1):59–76

  3. Dahlquist G, Bjørck A (2008) Numerical methods in scientific computing. To be published by SIAM, Philadelphia

  4. Fukunaga H, Hu N (2006) Experimental impact force identification of composite structures. In: Proc. of 3rd European workshop on structural health monitoring, pp 840–847

  5. Gaul L, Hurlebaus S (1997) Identification of the impact location on a plate using wavelets. Mech Syst and Syst Process 12(6):783–795

  6. Hansen P (2002) Deconvolution and regularization with Toeplitz matrices. Numer Algor 29:323–378

  7. Holnicki-Szulc J, Gierliński J (1995) Structural analysis, design and control by the virtual distortion method. Wiley, Chichester

  8. Inoue H, Harrigan J, Reid S (2001) Review of inverse analysis for indirect measurement of impact force. Appl Mech Rev 54(6):503–524

  9. Jacquelin E, Bennani A, Hamelin P (2003) Force reconstruction: analysis and regularization of a deconvolution problem. J Sound Vib 265:81–107

  10. Jacquelin E, Bennani A, Massenzio M (2005) Analysis of a force reconstruction problem. Struct Eng Mech 21(3):237–254

  11. Jankowski L, Wikło M, Holnicki-Szulc J (2007) Robust post-accident reconstruction of loading forces. Key Eng Mater 347:659–664

  12. Kress R (1989) Linear integral equations. Applied mathematical sciences, vol 82. Springer, New York

  13. Law SS, Chan THT, Zeng QH (1997) Moving force identification: a time domain method. J Sound Vib 201(1):1–22

  14. Mackiewicz A, Holnicki-Szulc J, Lopez-Almansa F (1996) Optimal sensor location in active control of flexible structures. AIAA J 34(4):857–859

  15. Martin MT, Doyle JF (1996) Impact force location in frame structures. Int J Impact Eng 18(1):79–97

  16. Nocedal J, Wright S (1999) Numerical Optimization. Springer series in operations research. Springer, New York

  17. Putresza JT, Kołakowski P (2001) Sensitivity analysis of frame structures—virtual distortion method approach. Int J Numer Methods Eng 50(6):1307–1329

  18. Simo JC, Hughes TJR (1989) Computational inelasticity, interdisciplinary applied mathematics, vol 7. Springer

  19. Tikhonov A, Arsenin V (1977) Solutions of ill-posed problems. Wiley, New York

  20. Wikło M, Holnicki-Szulc J (2008) Optimal design of adaptive structures. Part II: Adaptation to impact loads. Struct Multidisc Optim. doi:10.1007/s00158-008-0242-7

  21. Wu E, Tsai CZ, Tseng LH (1998) A deconvolution method for force reconstruction in rods under axial impact. J Acoustic Soc Amer 104(3):1418–1426

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Author information

Correspondence to Łukasz Jankowski.

Additional information

The author gratefully acknowledges the financial support of the Polish Research Projects DIADYN (PBZ-KBN-105/T10/2003) and MAT-INT (PBZ-KBN-115/T08/2004). Parts of this paper will be used in a coming book “Smart Technologies for Safety Engineering” to be published by John Wiley & Sons in 2008.

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Jankowski, Ł. Off-line identification of dynamic loads. Struct Multidisc Optim 37, 609–623 (2009). https://doi.org/10.1007/s00158-008-0249-0

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Keywords

  • Load identification
  • Inverse dynamics
  • Elasto-plastic structures
  • Black box
  • Forensic engineering