A 2D Numerical Model of Ultrasonic Wave Propagation in Wooden Utility Poles Using Embedded Waveguide Excitation Technique

Authors

  • Yishi Lee
  • Mohammad Mahoor
  • Wayne Hall

Keywords:

Embedded waveguide, Rayleigh wave excitation, elastodynamics in wood, finite element method (FEM), Nondestructive Evaluation

Abstract

Embedded waveguide technique is often not considered as a method for introducing ultrasonic wave for nondestructive testing (NDT). Because of the unique surface condition of wooden utility poles, the rough and uneven surface between the medium and the sensor introduces variation and signal attenuation, which impedes the use of a contact-based ultrasonic sensor. Many inspection and utility firms have adopted the use of inserting a small nail into the wooden pole for NDT. The mechanisms of excitation and reception of ultrasonic wave, however, are very different from the traditional contact-based mounting technique. Because very little research has been carried out on this methodology, this study focuses on the understanding of embedded waveguide excitation and reception in the time domain for wooden structure assessment in cylindrical symmetry. The resulted time domain waveform response is analyzed, and the associated findings will help infer important structural condition for NDT assessments. The study consists of numerical and empirical results to validate and understand the waveform characteristics and the associated energy modes that exist (Bodig 1982) in the two-dimensional wave propagation in a boundary medium

References

Achenbach J (2012) Wave propagation in elastic solids, Vol. 16. Elsevier, Amsterdam, The Netherlands. Benesty J, Chen J, Huang Y, Cohen I (2009) Noise reduction in speech processing (Vol. 2). Springer Science & Business Media.

Bhuyan GS (1998, April) Condition based serviceability and reliability assessment of wood pole structures. Pages 333-339 in ESMO’98-1998 IEEE 8th International Conference on Transmission and Distribution Construction, Operation and Live-Line Maintenance Proceedings ESMO’98 Proceedings. ESMO 98 The Power is in Your Hand. IEEE, Orlando, FL.

Bodig J, Phillips G, Goodman J, Landers P (1982) Reliability of wood transmission structures through nondestructive evaluation. IEEE Trans Power Apparatus System 8:2409-2414.

Brenan KE, Campbell SL, Petzold LR (1996) Numerical solution of initial-value problems in differential-algebraic equations, Vol. 14. Siam, Philadelphia, PA.

Cochran S (2012) Ultrasonic transducers. Elsevier, Amsterdam, The Netherlands.

Cown DJ (1975) Variation in tracheid dimensions in stem of a 26-year-old radiata pine tree. Appita 28(4):237-245.

Guedes J, Kikuchi N (1990) Preprocessing and postprocessing for materials based on the homogenization method with adaptive finite element methods. Comput Methods Appl Mech Eng 83:143-198.

Kassam A, Trefethen L (2005) Fourth-order time-stepping for stiff PDEs. SIAM J Sci Comput 26:1214-1233.

Krogh F (1974) Changing step size in the integration of differential equations using modified divided differences. Pages 22-71 in Proc. Conference on the Numerical Solution of Ordinary Differential Equations, October 1974, Springer, Berlin, Heidelberg.

Morrell JJ, Manual WPM (1996) Forest Research Laboratory, Oregon State University, Corvallis.

Morrell JJ (2008) Estimated service life of wood poles. Technical Bulletin, North American Wood Pole Council. pp. 1-5.

Payton R (2003) Wave fronts in wood. Q J Mech Appl Math 56(4):527-546.

Rayleigh L (1885) On waves propagated along the plane surface of an elastic solid. The London Mathematical Society, London, UK. pp. 4-11.

Rose J (2004) Ultrasonic waves in solid media. Cambridge University Press, Cambridge, United Kingdom.

Senalik A (2013) Detection and assessment of decay in wooden utility poles using an acoustic approach. Int J Environ Prot 3(8):13.

Taggart GL (1999) Rubrics: A handbook for construction and use. R&L Education, Lanham, MD. pp. 5-2-5-24.

Ting T (1996) Anisotropic elasticity: Theory and applications. Oxford Science Publications, New York, NY.

Viktorov I (1967) Rayleigh and lamb waves. Plenum, New York, NY.

Wang X, Divos F, Pilon C, Brashaw BK, Ross RJ (2004) Assessment of decay in standing timber using stress wave timing nondestructive evaluation tools: A guide for use and interpretation. Pages 1-12 in Gen. Tech. Rep. FPL-GTR-147. US Department of Agriculture, Forest Service, Forest Products Laboratory, Madison, WI, 147

Wang XC (2007) Acoustic assessment of wood quality of raw forest materials: A path to increased profitability. For Prod J 57(5):6-14.

Published

2020-01-28

Issue

Section

Research Contributions