DOI QR코드

DOI QR Code

Application of Hilbert-Huang transform for evaluation of vibration characteristics of plastic pipes using piezoelectric sensors

  • Cheraghi, N. (Department of Civil Engineering, Dalhousie University) ;
  • Riley, M.J. (Department of Civil Engineering, Dalhousie University) ;
  • Taherit, F. (Department of Civil Engineering, Dalhousie University)
  • 투고 : 2005.07.20
  • 심사 : 2006.09.05
  • 발행 : 2007.04.20

초록

This paper discusses the application of piezoelectric sensors used for evaluation of damping ratio of PVC plastics. The development of the mathematical formulation based on the Empirical Mode Decomposition for calculating the damping coefficient and natural frequency of the system is presented. A systematic experimental and analytical investigation was also carried out to demonstrate the integrity of several methods commonly used to evaluate the damping of materials based on a single degree freedom formulation. The influence of the sensors' location was also investigated. Besides the commonly used methods, a newly emerging time-frequency method, namely the Empirical Mode decomposition, is also employed. Mathematical formulations based on the Hilbert-Huang formulation, and a frequency spacing technique were also developed for establishing the natural frequency and damping ratio based on the output voltage of a single piezoelectric sensor. An experimental investigation was also conducted and the results were compared and verified with Finite Element Analysis (FEA), revealing good agreement.

키워드

참고문헌

  1. Bracewell, R. (1999), The Fourier Transform and Its Applications, 3rd ed McGraw-Hill, New York
  2. Ewins, D.J. (1984), Modal Testing: Theory and Application, Research Studies Press. New York
  3. Fahey, S. O'F and Pratt, J. (1998a), 'Frequency domain modal estimation techniques', Experimental Techniques, 33-37, September/October
  4. Fahey, S. O'F. and Pratt, J. (1998b), 'Time domain modal estimation techniques', Experimental Techniques, 45-49, November/December
  5. Hahn, S.J. (1996), 'The Hilbert transform of the product a(t) $({\omega}_0t+{\phi}_0)$', Bulletin the Polish Academy Sci., 44(1), 75-80
  6. Hammond, C.E. and Doggett, R.V. (1975), 'Determination of subcritical damping by Moving-Blockl/Random applications', National Aeronautics and Space Administration Symposium on Flutter Testing Techniques, NASA CP-415, 59-76
  7. Huang, N.E., Shen, Z. and Long, S.R. (1999), 'A new view of nonlinear water waves: The Hilbert spectrum', Annual Review of Fluid Mechanics, 31, 417-457 https://doi.org/10.1146/annurev.fluid.31.1.417
  8. Huang, K. (1998), 'A nondestructive instrument bridge safety inspection system (NIBSIS) using a transient load', US patent No. 09=210.693
  9. Huang, N.E., Shen, Z., Long, S.R, Wu, M.C., Shih, H.H., Zheng, Q., Yen, N.-C., Tung, C.C. and Liu, H.H. (1998), 'The empirical mode decomposition and Hilbert spectrum for nonlinear and non-stationary time series analysis', Proc. of the Royal Society of London-Series A, 454, 903-995
  10. Iglasias, A.M. (2000), Investigating Various Modal Analysis Extraction Techniques to Estimate Damping Ratio. Masters thesis, Department of Mechanical Engineering, Virginia Polytechnic Institute and State University, Blacksburg, Virginia
  11. Imregun, M. (1991), 'A comparison of SDOF and Global MDOF modal analysis techniques when applied to a Lightly-damped linear structure', Proc. of the Int. Modal Analysis Conf., 435-441
  12. Kamopp, D.C., Margolis, D.L. and Rosenberg, R.e. (2000), System Dynamics: Modeling and Simulation of Mechatronic Systems, Third Edition, John Wiley & Sons, Inc., Canada
  13. Lazan, B.J. (1968), Damping of Materials and Members in Structural Mechanics, Pergamon Press, Oxford, UK
  14. Naghipour, M., Zou, G.P. and Taheri, F. (2005), 'Evaluation of vibration damping of GRP reinforced Glulam Composite Beams', J. Eng. Mech., ASCE, in press
  15. NISA (2004), V.12, Engineering Mechanics Research Corporation, Troy, MI
  16. Rao, S.S. and Sunar, M. (1994), 'Piezoelectricity and its use in disturbance sensoring and control of flexible structures: A survey', Appl. Mech. Rev., 47, 113-136 https://doi.org/10.1115/1.3111074
  17. Rayleigh, L. (1945), Theory of Sounds (two volumes). New York: Dover Publications, re-issue, second edition
  18. Richart, F.E. Jr., Hall, J.R. and Woods, R.D. (1970), Vibration of Soils and Foundation. Prentice-Hall, Inc., Englewood Cliffs, N. J
  19. Smith, C.B. and Wereley, N.M. (1997), 'Composite rotorcraft flexbeams with viscoelastic damping layers for aeromechanical stability augmentation', Mechanics and Mechanisms of Material Damping, ASTM STP 1304, Wolfenden, A. and Kinra, Y.K., Eds., 62-67
  20. Tasker, F.A. and Chopra, I. (1990), 'Assessment of transient analysis techniques for rotor stability testing', J. Am. Helicopter Soc., 35( 1), 39-50 https://doi.org/10.4050/JAHS.35.39
  21. Tzou, H.S. and Tseng, C.I. (1990), 'Distributed piezoelectric sensor/acyuatoractuator design for dynamic measurement/control of distributed parameter systems: A piezoelectric finite element approach', J. Sound Vib., 138(1), 17-34 https://doi.org/10.1016/0022-460X(90)90701-Z
  22. Xu Y.L. and Chen J. (2004), 'Structural damage detection using empirical mode decomposition: Experimental investigation', J. Eng. Mech., 130, 1279-1288 https://doi.org/10.1061/(ASCE)0733-9399(2004)130:11(1279)
  23. Yang, J.N., Lei, Y., Pan, S. and Huang, N. (2003), 'System identification of linear structures based on Hilbert-Huang spectral analysis. Part 1: Normal modes', Earthq. Eng. Struct. Dyn., 32, 1443-1467 https://doi.org/10.1002/eqe.287

피인용 문헌

  1. Application of Hilbert-Huang Transform in Structural Health Monitoring: A State-of-the-Art Review vol.2014, 2014, https://doi.org/10.1155/2014/317954
  2. Use of a Simple Non-Destructive Technique for Evaluation of the Elastic and Vibration Properties of Fiber-Reinforced and 3D Fiber-Metal Laminate Composites vol.6, pp.1, 2018, https://doi.org/10.3390/fib6010014
  3. Static and dynamic characteristics of nano-reinforced 3D-fiber metal laminates using non-destructive techniques vol.23, pp.7, 2007, https://doi.org/10.1177/1099636220924585