Dynamic Analysis of a Geometrical Non-Linear Plate Using the Continuous-Time System Identification

  • Lim, Jae-Hoon (School of Mechanical Engineering, Sungkyunkwan University) ;
  • Choi, Yeon-Sun (School of Mechanical Engineering, Sungkyunkwan University)
  • Published : 2006.11.01

Abstract

The dynamic analysis of a plate with non-linearity due to large deformation was investigated in this study. There have been many theoretical and numerical analyses of the non-linear dynamic behavior of plates examining theoretically or numerically. The problem is how correctly an analytical model can represent the dynamic characteristics of the actual system. To address the issue, the continuous-time system identification technique was used to generate non-linear models, for stiffness and damping terms, and to explain the observed behaviors with single mode assumption after comparing experimental results with the numerical results of a linear plate model.

Keywords

References

  1. Baker, W. E., etc., 1961, 'Air and Internal Damping of thin Cantilever Beams,' International Journal of Mechanical Science, Vol. 9. pp.743-766 https://doi.org/10.1016/0020-7403(67)90032-X
  2. Doughty, T. A., Davies, P. and Bajaj, A., 2003, 'An Experimental Study of Parametrically Excited Cantilever Beam and System Identification of Nonlinear Modes,' ASME, Biennial Conference on Mechanical Vibration and Noise ; DETC2003 , pp.2519-2528
  3. Ghanbari, M. and Dunne J. F., 1998, 'An experimentally Verified Non-Linear Damping Model for farge Amplitude Random Vibration of a Clamped-Clamped Beam,' Journal of Sound and Vibration, Vol. 215, pp. 343-379 https://doi.org/10.1006/jsvi.1998.1637
  4. Gorman, D. J., 1995, 'Accurate Free Vibration Analysis of the Orthotropic Cantilever Plate,' Journal of Sound and Vibration, Vol. 181, pp. 605-618 https://doi.org/10.1006/jsvi.1995.0161
  5. Haterbouch, M. and Benamar, R., 2003, 'The Effect of Large Vibration Amplitude on the Axisymmetric Mode Shapes and Natural Frequencies of Clamped thin Isotropic Circular Plates. Part I : Iterative and Explicit Analytical Solution for Non-Linear Transverse Vibrations,' Journal of Sound and Vibration, Vol. 265, pp. 123-154 https://doi.org/10.1016/S0022-460X(02)01443-8
  6. Kadiri, M. E. and Benamar, R., 2003, 'Improvement of the Semi-Analytical Method, Based on Hamilton's Principle and Spectral Analysis, for Determination of the Geometrically NonLinear Response of thin Straight Structures. Part III: Steady State Periodic Forced Response of Rectangular Plates,' Journal of Sound and Vibration, Vol. 264, pp. 1-35 https://doi.org/10.1016/S0022-460X(02)01162-8
  7. Kadiri, M. E., Benamar, R. and White, R. G., 1999, 'The Non-Linear Free Vibration of Fully Clamped Rectangular Plates: Second Non-Linear Mode for Various Plate Aspect Ratios,' Journal of Sound and Vibration, Vol. 228, No.2, pp. 333-358 https://doi.org/10.1006/jsvi.1999.2410
  8. Samtech, 2003, Samcef Field Manual, Samtech
  9. SMS, 1994, The Star System Manual, Spectral Dynamics, Inc
  10. Timoshenko, S. and Woinowsky-Kreiger, S., 1959, Theory of Plates and Shells, McGraw-Hill, New York
  11. Wong, W.O., 2002, 'The Effects of Distributed Mass Loading on Plate Vibration Behavior,' Journal of Sound and Vibration, Vol. 252, pp. 577-593 https://doi.org/10.1006/jsvi.2001.3947