Structural Engineering and Mechanics

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Performance of rotational mode based indices in identification of added mass in beams

  • Rajendrana, Prakash (Department of Applied Mechanics, Indian Institute of Technology Madras, Active Materials Structures and Systems Lab.) ;
  • Srinivasan, Sivakumar M. (Department of Applied Mechanics, Indian Institute of Technology Madras, Active Materials Structures and Systems Lab.)
  • Received : 2014.03.17
  • Accepted : 2015.03.28
  • Published : 2015.05.25
⟨ Previous Next ⟩

Abstract

This study investigates the identification of added mass and its location in the glass fiber reinforced polymer (GFRP) beam structures. The main emphasis of this paper is to ascertain the importance of inclusion of rotational degrees of freedom (dofs) in the introduction of added mass or damage identification. Two identification indices that include the rotational dofs have been introduced in this paper: the modal force index (MFI) and the modal rotational curvature index (MRCI). The MFI amplifies damage signature using undamaged numerical stiffness matrix which is related to changes in the altered mode shapes from the original mode shapes. The MRCI is obtained by using a higher derivative of rotational mode shapes. Experimental and numerical results are compared with the existing methods leading to a conclusion that the contributions of the rotational modes play a key role in the identification of added mass. The authors believe that the similar results are likely in the case of damage identification also.

Keywords

References

  1. Abdo, M.A.B. and Hori, M. (2002), "A numerical study of structural damage detection using changes in the rotation of mode shapes", J. Sound Vib., 251(2), 227-239. https://doi.org/10.1006/jsvi.2001.3989
  2. Abdo, M.A.B. (2012), "Damage detection in plate-like structures using high-order mode shape derivatives", Int. J. Civil Struct. Eng., 2(3), 801-816.
  3. Cawley, P. and Adams, R.D. (1979), "The location of defects in structures from measurements of natural frequencies", J. Strain Anal. Eng., 14, 49-57. https://doi.org/10.1243/03093247V142049
  4. Dinh, H.M., Nagayama, T. and Fujino, Y. (2011), "Structural parameter identification by use of additional known masses and its experimental application", Struct. Control Hlth. Monit., 19(3), 1-15.
  5. Doebling, S.W., Farrar, C.R. and Prime, M.B. (1998), "A summary of vibration-based damage identification methods", Shock Vib. Dig., 30, 91-105. https://doi.org/10.1177/058310249803000201
  6. Esfandiari, A., Bakhtiari-Nejad, F., Sanayei, M. and Rahai, A. (2010), "Structural finite element model updating using transfer function data", Comput. Struct., 88, 54-64. https://doi.org/10.1016/j.compstruc.2009.09.004
  7. Ewins, D.J. (2000), Modal Testing: Theory, Practice and Application, Research Studies Press, England.
  8. Fanning, P.J. and Carden, P.E. (2004), "Experimentally validated added mass identification algorithm based on frequency response functions", J. Eng. Mech., ASCE, 130(9), 1045-1051. https://doi.org/10.1061/(ASCE)0733-9399(2004)130:9(1045)
  9. Gupta, P., Giridhara, G. and Gopalakrishnan, S. (2008), "Damage detection based on damage force indicator using reduced-order FE models", Int. J. Comput. Meth. Eng. Sci. Mech., 9(3), 154-170. https://doi.org/10.1080/15502280801909127
  10. Homaei, F., Shojaee, S. and Amiri, G.G. (2014), "A direct damage detection method using Multiple Damage Localization Index Based on Mode Shapes criterion", Struct. Eng. Mech., 49(2), 183-202. https://doi.org/10.12989/sem.2014.49.2.183
  11. Kessler, S.S., Spearing, S.M., Atalla, M.J., Cesnik, C.E.S. and Soutis, C. (2002), "Damage detection in composite materials using frequency response methods", Compos. Part B-Eng., 33, 87-95.
  12. Kosmatka, J.B. and Ricles, J.M. (1999), "Damage detection in structures by modal vibration characterization", J. Struct. Eng., ASCE, 125(12), 1384-1392. https://doi.org/10.1061/(ASCE)0733-9445(1999)125:12(1384)
  13. Lestari, W., Qiao, P. and Hanagud, S. (2007), "Curvature mode shape-based damage assessment of carbon/ epoxy composite beams", J. Intel. Mater. Syst. Struct., 18, 189-208. https://doi.org/10.1177/1045389X06064355
  14. Liu, X., Lieven, N.A.J. and Escamilla-Ambrosio, P.J. (2009), "Frequency response function shape-based methods for structural damage localization", Mech. Syst. Signal Pr., 23, 1243-1259. https://doi.org/10.1016/j.ymssp.2008.10.002
  15. Liu, M., Zhou, Z., Tan, Y., Ling, A. and Ke, M. (2012), "Fiber bragg grating sensors-based mechanical structure damage identification", Mechanika, 18(1), 108-112.
  16. Moreno-Garcia, P., Araujo dos Santos, J.V. and Lopes, H. (2014), "A new technique to optimize the use of mode shape derivatives to localize damage in laminated composite plates", Compos. Struct., 108, 548-554. https://doi.org/10.1016/j.compstruct.2013.09.050
  17. Pandey, A.K., Biswas, M. and Samman, M.M. (1991), "Damage detection from changes in curvature mode shapes", J. Sound Vib., 145(2), 321-332. https://doi.org/10.1016/0022-460X(91)90595-B
  18. Qiao, P., Lu, K., Lestari, W. and Wang, J. (2007), "Curvature mode shape-based damage detection in composite laminated plates", Compos. Struct., 80, 409-428. https://doi.org/10.1016/j.compstruct.2006.05.026
  19. Toyosaki, Y., Nariyuki, Y., Mitsuya, S. and Konishi, T. (2012), "Identification of damage to beam structures using modal data", Proceedings of the 15th World Conference on Earthquake Engineering, Lisbon, Portugal, September.
  20. Whalen, T.M. (2008), "The behavior of higher order mode shape derivatives in damaged, beam-like structures", J. Sound Vib., 309, 426-464. https://doi.org/10.1016/j.jsv.2007.07.054

Cited by

  1. Vibration-based structural health monitoring of the aircraft large component vol.251, 2017, https://doi.org/10.1088/1757-899X/251/1/012093
  2. Damage Identification Based on Adding Mass for Liquid-Solid Coupling Structures vol.10, pp.7, 2015, https://doi.org/10.3390/app10072312
  3. Damage Identification Method Using Additional Virtual Mass Based on Damage Sparsity vol.11, pp.21, 2021, https://doi.org/10.3390/app112110152