Dispersion Behaviors of Wedge Waves Propagating Along Wedges with Bilinear Cross Sections


Article Preview

Wedge waves (WW) are guided acoustic waves propagating along the tip of a wedge, with energy tightly confined near the apex. Like Lamb waves, wedge waves with displacement field anti-symmetric about the mid-apex-plane are called anti-symmetric flexural (ASF) modes. This study is focused on exploring the dispersion behaviors of ASF modes propagating along a bilinear wedge (BW). A BW is wedge with a cross section of two apex angles, compared with a linear wedge (LW) having a single apex angle. In the literature, many studies regarding to the dispersion behaviors of ASF modes are reported for LW, but not for BW. In this study, a laser ultrasonic technique and finite element simulations are used to investigate the dispersion behavior of BW-ASF modes. It is found out that a BW-ASF mode is a result of mode coupling between the two LW-ASF modes of the same order corresponding to the two apex angles of the BW.



Key Engineering Materials (Volumes 321-323)

Edited by:

Seung-Seok Lee, Joon Hyun Lee, Ik Keun Park, Sung-Jin Song, Man Yong Choi




C. H. Yang and C. Z. Tsen, "Dispersion Behaviors of Wedge Waves Propagating Along Wedges with Bilinear Cross Sections", Key Engineering Materials, Vols. 321-323, pp. 765-769, 2006

Online since:

October 2006




[1] P. E. Lagasse, Analysis of a dispersion free guide for elastic waves, Electron. Lett. 8, 372 (1972).

[2] P. E. Lagasse, I. M. Mason, and E. A. Ash, Acoustic surface waveguides-analysis and assessment, IEEE Trans. Sonics and Ultrasonics. SU-20 (2) 143-154 (1973).

DOI: https://doi.org/10.1109/t-su.1973.29735

[3] J. McKenna, G. D. Boyd, and R. N. Thurston, Plate theory solution for guided flexural acoustic waves along the tip of a wedge, IEEE Trans. Sonics and Ultrasonics, SU-21 (3) 178-186 (1974).

DOI: https://doi.org/10.1109/t-su.1974.29812

[4] V. V. Krylov and D. F. Parker, Harmonic generation and parametric mixing in wedge acoustic waves, Wave Motion 15, 185 (1992).

DOI: https://doi.org/10.1016/0165-2125(92)90018-w

[6] J. R. Chamuel, Contactless characterization of antisymmetric edge wave dispersion along truncated wedge using electromagnetic acoustic transducer, J. Acoust. Soc. Am. 95(5), 2893 (1994).

DOI: https://doi.org/10.1121/1.409336

[7] J. R. Chamuel, Flexural edge waves along free and immersed elastic waveguides, in Review of the Progress in Quantitative Nondestructive Evaluation, Vol. 16, 129(1997).

DOI: https://doi.org/10.1007/978-1-4615-5947-4_17

[8] X. Jia and M. de Billy, Observation of the dispersion behavior of surface acoustic waves in a wedge waveguide by laser ultrasonics, Appl. Phys. Lett. 61(25), 2970 (1992).

DOI: https://doi.org/10.1063/1.108034

[9] C. -H. Yang and K. -Y. Tsai, Characterization of broadband dispersion behaviors of wedge waves with a laser ultrasound technique, Jpn. J. Appl. Phys., 43, 4392 (2004).

DOI: https://doi.org/10.1143/jjap.43.4392

[10] C. -H. Yang and J. -S. Liaw, Observation of dispersion behavior of acoustic wedge waves propagating along the tip of a circular wedge with laser ultrasonics, Jpn. J. Appl. Phys. 39(5A), 2741 (2000).

DOI: https://doi.org/10.1143/jjap.39.2741

[11] M. -F. Huang and C. -H. Yang, Application of wedge waves to the inspection of wear in machine tools, Proceeding for the International Symposium on Experimental Mechanics, Taipei, Taiwan, 154 (2002).