Investigation of the effect of angle beam transducer parameters on the lamb wave field in the three–layer plate by normal mode expansion method

Document Type : Research Paper

Author

Department of Mechanical Engineering, Ahvaz Branch, Islamic Azad University, Ahvaz, Iran.

Abstract

The effect of angle beam transducer parameters such as wedge angle and width transducer on the Lamb wave field generated in the elastic-viscoelastic three-layer plate has been investigated using normal mode expansion method. At first, the propagation of Lamb wave in the three-layer plate has been investigated using global matrix method, and all the modes that are propagated in the three-layer plate have been specified. Then, the optimum parameters of angle beam transducer have been obtained to generate a mode with minimum attenuation at a specific frequency. In addition to this mode, other modes are also generated in the three-layer plate, but this mode has maximum energy in the three-layer plate. The results indicate that the energy contribution of the mode with minimum attenuation at a specific frequency is 99.9% of the total energy and this mode has the highest energy contribution.

Keywords


[1] M.J. S. Lowe, Matrix techniques for modeling ultrasonic waves in multilayered media, IEEE Trans Ultrason, Ferroelect, Freq Contr, Vol. 42, No. 4, pp. 525-541, 1995.
[2] P. T. Birgani, K. N. Tahan, S. Sodagar, M. Shishesaz, Investigation of Lamb waves attenuation in elastic–viscoelastic three-layer adhesive joints in low and high frequencies: theoretical modeling, . Proc IMechE Part C: J Mech Eng Sci, Vol. 229, No. 11, pp. 1939-1952, 2015.
[3] B. Hosten, M. Castaings, Transfer matrix of multilayered absorbing and anisotropic media: Measurements and simulations of ultrasonic wave propagation through composite materials, J Acoust Soc Am, Vol. 94, pp. 1488-1495, 1993.
[4] M. Castaings, B. Hosten, Delta operator technique to improve the Thomson-Haskell method stability for propagation in multilayered anisotropic absorbing plates, J Acoust Soc Am, Vol. 95, pp. 1931-1941, 1994.
[5] R. Seifried, L. J. Jacobs, J. Qu, Propagation of guided waves in adhesive bonded components, NDT E Int, Vol. 35, pp. 317-328, 2002.
[6] F. Simonetti, Lamb wave propagation in elastic plate coated with viscoelastic materials, J Acoust Soc Am, Vol. 115, pp. 2041-2053, 2004.
[7] J. N. Barshinger, J. L. Rose, Guided wave propagation in an elastic hollow cylinder coated with a viscoelastic material, IEEE Trans Ultrason, Ferroelect, Freq Contr, Vol. 51, pp. 1547-1556, 2004.
[8] P. J. Shorter, Wave propagation and damping in linear viscoelastic laminates, J Acoust Soc Am, Vol. 115, pp. 1917-1925, 2004.
[9] F. Birgersson, S. Finnveden, C. M. Nilsson, A spectral super element for modelling of plate vibration-part 1: general theory, J Sound Vib, Vol. 287, pp. 297-314, 2005.
[10] I. Bartoli, A. Marzani, F. Lanza di Scalea, E. Viola, Modeling wave propagation in damped waveguides of arbitrary cross-section, J Sound Vib, Vol. 295, pp. 685-707, 2006.
[11] J. J. Ditri, J. L. Rose, Excitation of guided elastic wave modes in hollow cylinders by applied surface tractions, Journal of applied physics, Vol. 72, No. 7, pp. 2589-2597, 1992.
[12] J. J. Ditri, J. L. Rose, Excitation of guided waves in generally anisotropic layers using finite sources, J Appl Mech, Vol. 61, pp. 330-338, 1994b.
[13] P. Puthillath, J. L. Rose, Ultrasonic guided wave inspection of a titanium repair patch bonded to an aluminum aircraft skin, Int J Adhes Adhes, Vol. 30, pp. 566-573, 2010.
[14] R. M. Christensen, 2010, Theory of viscoelasticity, New York: Dover Publications, 2nd Edition .
[15] B. A. Auld, 1990, Acoustic fields and waves in solids, Malabar, FL: Krieger, 2nd Edition, Vols 1,2.
[16] J. Mu, Guided wave propagation and focusing in viscoelastic multilayered hollow cylinders, Thesis, Ph. D thesis, Engineering Mechanics, The Pennsylvania State University, 2008.
Volume 51, Issue 2
December 2020
Pages 482-485
  • Receive Date: 16 August 2020
  • Revise Date: 17 September 2020
  • Accept Date: 28 September 2020