Structural Engineering and Mechanics

Techno-Press (테크노프레스)
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Structural joint modeling and identification: numerical and experimental investigation

  • Ingole, Sanjay B. (Government Polytechnic) ;
  • Chatterjee, Animesh (Visvesvaraya National Institute of Technology)
  • Received : 2013.01.26
  • Accepted : 2014.11.25
  • Published : 2015.01.25
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Abstract

In the present work, structural joints have been modeled as a pair of translational and rotational springs and frequency equation of the overall system has been developed using sub-structure synthesis. It is shown that using first few natural frequencies of the system, one can obtain a set of over-determined system of equations involving the unknown stiffness parameters. Method of multi-linear regression is then applied to obtain the best estimate of the unknown stiffness parameters. The estimation procedure has been developed first for a two parameter joint model and then for a three parameter model, in which cross coupling terms are also included. Two cases of structural connections have been considered, first with a cantilever beam with support flexibility and then a pair of beams connected through lap joint. The validity of the proposed method is demonstrated through numerical simulation and by experimentation.

Keywords

References

  1. Ahmadian, H. and Jalali, H. (2007), "Identification of bolted lap joints parameters in assembled structures", Mech. Syst. Signal Pr., 21, 1041-1050. https://doi.org/10.1016/j.ymssp.2005.08.015
  2. Ahmadian, H., Mottershed, J.E. and Friswell, M.I. (2001), "Boundary condition identification by solving characteristic equations", J. Sound Vib., 247 (5), 755-763. https://doi.org/10.1006/jsvi.2001.3708
  3. Asgarian, B., Mokarram, V. and Alanjari, P. (2014), "Local joint flexibility equations for Y-T and K-type tubular joints", Ocean Syst. Eng., 4(2), 151-167. https://doi.org/10.12989/ose.2014.4.2.151
  4. Bishop, R.E.D. and Johnson, D.C. (1960), The Mechanics of Vibration, Cambridge University Press, New York.
  5. Celic, D. and Boltezar, M. (2008), "Identification of the dynamic properties of joints using frequency response functions", J. Sound Vib., 317, 158-174. https://doi.org/10.1016/j.jsv.2008.03.009
  6. Dominguez, N. and Perez-Mota, J. (2014), "Coupling of nonlinear models for steel-concrete interaction in structural RC joints", Coupl. Syst. Mech., 3(2), 195-211. https://doi.org/10.12989/csm.2014.3.2.195
  7. Draper, N.R. and Smith, H. (1998), Applied Regression Analysis, John Willey and Sons, Singapore.
  8. Gilat, A. (2003), $MATLAB^{(R)}$ an introduction with applications, John Wiley & Sons (Asia) Pte.ltd., Singapore.
  9. Hwang, H.Y. (1998), "Identification techniques of structure connection parameters using frequency response functions", J. Sound Vib., 213(3), 469-479.
  10. Kim, H.B. and Park, Y.S. (1997), "Sensor placement guide for structural joint stiffness model improvement", Mech. Syst. Signal Pr., 11(5), 651-672. https://doi.org/10.1006/mssp.1997.0108
  11. Ma, X., Bergman, L. and Vakakis, A. (2001), "Identification of bolted joints through laser vibrometry", J. Sound Vib., 246(3), 441-460. https://doi.org/10.1006/jsvi.2001.3573
  12. Modak, S.V., Kundra, T.K. and Nakra, B.C. (2002), "Prediction of dynamic characteristics using updated finite element models", J. Sound Vib., 254 (3), 447-467. https://doi.org/10.1006/jsvi.2001.4081
  13. Mottershed, J.E., Friswell, M.I., Ng, G.H.T and Brandon, J.A. (1996), "Geometric parameters for finite element model updating of joints and constraints", Mech. Syst. Signal Pr., 10(2), 171-182. https://doi.org/10.1006/mssp.1996.0012
  14. Patricia, J.W.Y., Robert, H.W. and Berger, E.J. (1999), "Using rigid body dynamics to measure joint stiffness", Mech. Syst. Signal Pr., 13(5), 789-801. https://doi.org/10.1006/mssp.1999.1232
  15. Ratcliffe, M.J. and Lieven, N.A.J. (2000), "A generic element based method for joint identification", Mech. Syst. Signal Pr., 14(1), 3-28. https://doi.org/10.1006/mssp.1999.1269
  16. Sjovall, P. and Thomas, A. (2008), "Substructure system identification from coupled system test data", Mech. Syst. Signal Pr., 22, 15-33. https://doi.org/10.1016/j.ymssp.2007.06.003
  17. Tsai, J.S. and Chou, Y.F. (1988), "The identification of dynamics characteristics of a single bolt joint", J. Sound Vib., 125(3), 487-502. https://doi.org/10.1016/0022-460X(88)90256-8
  18. Wang, M., Wang, D. and Zheng, G. (2012), "Joint dynamic properties identification with partially measured frequency response function", Mech. Syst. Signal Pr., 27, 499-512. https://doi.org/10.1016/j.ymssp.2011.09.024
  19. Wu, J.R. and Li, Q.S. (2006), "Structural parameter identification and damage detection for a steel structure using a two stage finite element model updating method", J. Construct. Steel Res., 62, 231-239. https://doi.org/10.1016/j.jcsr.2005.07.003
  20. Yang, K.T. and Park, Y.S. (1993), "Joint structural parameter identification using a subset of frequency response function measurements", Mech. Syst. Signal Pr., 7(6), 509-530. https://doi.org/10.1006/mssp.1993.1030