Development of dispersion curves for two-layered cylinders using laser ultrasonics

In this paper, laser-ultrasonic techniques are employed to develop a quantitative understanding of the underlying principles of the propagation of guided circumferential waves in two-layered cylindrical components. The high-fidelity, broad-bandwidth, point source/receiver and noncontact nature of these optical techniques are critical elements to the success of this work. The experimental procedure consists of measuring a series of transient, circumferentially propagating waves in a cylindrical waveguide and then operating on these transient waveforms with signal-processing techniques to develop the dispersion relationship for that waveguide; this procedure extracts the steady-state behavior from a series of transient measurements. These dispersion curves are compared to theoretical values. There is good agreement between the experimental and theoretical results, thus demonstrating the accuracy and effectiveness of using laser-ultrasonic techniques to study the propagation of guided circumferential waves.

[1]  Earl G. Williams,et al.  Complex wave‐number decomposition of structural vibrations , 1993 .

[2]  Y. Pao,et al.  On the determination of phase and group velocities of dispersive waves in solids , 1978 .

[3]  P. Cawley,et al.  A two-dimensional Fourier transform method for the measurement of propagating multimode signals , 1991 .

[4]  J. Qu,et al.  GUIDED CIRCUMFERENTIAL WAVES IN A CIRCULAR ANNULUS , 1998 .

[5]  Christian P. Burger,et al.  A laser-based investigation of higher-order modes in transient Lamb waves , 1993 .

[6]  L. Drain,et al.  Laser Ultrasonics Techniques and Applications , 1990 .

[7]  C. Glorieux,et al.  Investigation of the dispersion relations of surface acoustic waves propagating on a layered cylinder , 1996 .

[8]  D. Hutchins,et al.  A laser study of transient Lamb waves in thin materials , 1989 .

[9]  Laurence J. Jacobs,et al.  Modeling elastic wave propagation in waveguides with the finite element method , 1999 .

[10]  D. Gazis.  Three‐Dimensional Investigation of the Propagation of Waves in Hollow Circular Cylinders. I. Analytical Foundation , 1959 .

[11]  D. C. Gazis,et al.  Errata: Three‐Dimensional Investigation of the Propagation of Waves in Hollow Circular Cylinders. II [J. Acoust. Soc. Am. 31, 573–578 (1959)] , 1960 .

[12]  Laurence J. Jacobs,et al.  DEVELOPMENT OF INTERFEROMETER FOR ACOUSTIC EMISSION TESTING , 1993 .

[13]  D. Chimenti.  Guided Waves in Plates and Their Use in Materials Characterization , 1997 .

[14]  Laurence J. Jacobs,et al.  Guided circumferential waves in layered cylinders , 1999 .