DOI QR코드

DOI QR Code

Joint parameter identification of a cantilever beam using sub-structure synthesis and multi-linear regression

  • Ingole, Sanjay B. (Government Polytechnic) ;
  • Chatterjee, Animesh (Visvesvaraya National Institute of Technology)
  • 투고 : 2011.07.14
  • 심사 : 2012.12.16
  • 발행 : 2013.02.25

초록

Complex structures are usually assembled from several substructures with joints connecting them together. These joints have significant effects on the dynamic behavior of the assembled structure and must be accurately modeled. In structural analysis, these joints are often simplified by assuming ideal boundary conditions. However, the dynamic behavior predicted on the basis of the simplified model may have significant errors. This has prompted the researchers to include the effect of joint stiffness in the structural model and to estimate the stiffness parameters using inverse dynamics. 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 for a two parameter joint stiffness matrix.

키워드

참고문헌

  1. Ahmadian, H., Mottershed, J.E. and Friswell, M.I. (2001), "Boundary condition Identification by Solving Characteristic Equations", J. Sound and Vibration, 247(5), 755-763. https://doi.org/10.1006/jsvi.2001.3708
  2. Ahmadian, H. and Jalali, H. (2007), "Identification of bolted lap joints parameters in assembled structures", Mechanical Systems and Signal Processing, 21, 1041-1050. https://doi.org/10.1016/j.ymssp.2005.08.015
  3. Allen, M.S., Mayes, R.L. and Bergman, E.J. (2010), "Experimental modal substructuring to couple and uncouple substructures with flexible fixtures and multi point connections", J. Sound and Vibration, 329(23), 4891-4906. https://doi.org/10.1016/j.jsv.2010.06.007
  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 dynaimc properties of joints using frequency response functions", J. Sound and Vibration, 317, 158-174. https://doi.org/10.1016/j.jsv.2008.03.009
  6. Draper, N.R. and Smith, H. (1998), Applied Regression Analysis, John Willey and Sons, Singapore.
  7. Friswell, M.I. and Mottershed, J.E. (1995), Finite Element Model Updating in Structural Dynamics, New York: Kluwer Academic Publishers.
  8. Lee, D.H. and Hwang, W.S. (2007), "An identification method for joint structural parameters using an FRFbased substructuring method and an optimization technique", J. Mechanical Science and Technology, 21, 2011-2022. https://doi.org/10.1007/BF03177459
  9. Li, W.L. (2002), "A new method for structural model updating and joint stiffness identification", Mechanical Systems and Signal Processing, 16(1), 155-167. https://doi.org/10.1006/mssp.2000.1339
  10. 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", Mechanical Systems and Signal Processing, 10(2), 171-182. https://doi.org/10.1006/mssp.1996.0012
  11. Nobari, A.S., Robb, D.A. and Ewins, D.J. (1993), "Model updating and joint identification: applications, restrictions and overlap modal analysis", The International Journal Analytical and Experimental Modal Analysis, 8, 93-105.
  12. Nobari, A.S., Robb, D.A. and Ewins, D.J. (1995), "A new approach to model-based structural dynamic model updating and joint identification", Mechanical Systems and Signal Processing, 9(1), 85-100. https://doi.org/10.1006/mssp.1995.0007
  13. Pabst, U. and Hagedorn, P. (1995), "Identification of boundary conditions as a part of model correction", J. Sound and Vibration, 182(4), 565-575. https://doi.org/10.1006/jsvi.1995.0217
  14. Ren, Y. and Beards, C.F. (1995), "Identification of joint properties of a sub-structure using FRF data", J. Sound and Vibration, 186(4), 567-587. https://doi.org/10.1006/jsvi.1995.0469
  15. Sjovall, P. and Abrahamsson, T. (2008), "Substructure system identification from coupled system test data", Mechanical Systems and Signal Processing, 22(1), 15-33. https://doi.org/10.1016/j.ymssp.2007.06.003
  16. Yang, K.T. and Park, Y.S. (1993), "Joint structural parameter identification using a subset of frequency response function measurements", Mechanical Systems and Signal Processing, 7(6), 509-530. https://doi.org/10.1006/mssp.1993.1030
  17. Yang, T., Fan, S. and Lin, C.S. (2003), "Joint stiffness identification using FRF measurements", Computers and Structures, 81, 2549-2556. https://doi.org/10.1016/S0045-7949(03)00328-6
  18. Wang, J. and Sas, P. (1990), "A method for identifying parameters of mechanical joints", J. Applied Mechanics, 57, 337-342. https://doi.org/10.1115/1.2891994
  19. Wang, J.H. and Liou, C.M. (1991), "Experimental identification of mechanical joint parameters", J. Vibration and Acoustics, 113, 28-36. https://doi.org/10.1115/1.2930151