Propagation Characteristics of Elastic Circumferential waves in Nuclear fuel Cladding Tubes

Abstract The backscattering of a plane acoustic wave from an air-filled Zircaloy-4 nuclear fuel cladding tube in water is analysed as a function of k 1 a using the resonance scattering theory. In accordance with the cut-off frequencies, the groups of resonances are identified as the elastic circumferential waves corresponding to the Lamb plate waves. In order to determine accurate propagation characteristics, each resonance is evaluated using the very small calculation step, Δ ( k 1 a ) = 0.0001, and the results are presented in the form of phase and group velocities, attenuation constants and angles, and backscattered amplitudes of the elastic circumferential waves as function of the frequency, tube thickness and curvature.

[1]  G. A. Watson A treatise on the theory of Bessel functions , 1944 .

[2]  Herbert Überall,et al.  Resonant acoustic scattering from elastic cylindrical shells , 1983 .

[3]  J. W. Dickey,et al.  Surface wave modes on elastic cylinders , 1975 .

[4]  H. Überall,et al.  Creeping‐Wave Analysis of Acoustic Scattering by Elastic Cylindrical Shells , 1967 .

[5]  Lawrence Flax,et al.  Relation between creeping waves and normal modes of vibration of a curved body , 1976 .

[6]  S. W. Marshall,et al.  Observation of Circumferential Waves on Solid Aluminum Cylinders , 1967 .

[7]  Herbert Überall,et al.  Resonance scattering of acoustic waves from cylindrical shells , 1978 .

[8]  G. Quentin,et al.  Scattering of short ultrasonic pulses by thin cylindrical shells; Generation of guided waves inside the shell , 1983 .

[9]  H. Überall,et al.  Creeping waves and lateral waves in acoustic scattering by large elastic cylinders , 1975 .

[10]  Transverse whispering gallery waves in scattering by elastic cylinders , 1990 .

[11]  C. W. Horton,et al.  Circumferential Waves in Thin‐Walled Air‐Filled Cylinders in Water , 1963 .

[12]  C. M. McKinney,et al.  Experimental Study of the Scattering of Acoustic Energy from Solid Metal Spheres in Water , 1961 .

[13]  Scattering of Acoustic Energy by Solid and Air‐Filled Cylinders in Water , 1959 .

[14]  Whispering Gallery wave modes on elastic cylinders , 1976 .

[15]  H. Überall,et al.  Mode conversion and resonance scattering of elastic waves from a cylindrical fluid‐filled cavity , 1979 .

[16]  M. Talmant,et al.  Backscattering of a short ultrasonic pulse from thin cylindrical shells , 1988 .

[17]  D. Brill,et al.  Acoustic spectrogram and complex‐frequency poles of a resonantly excited elastic tube , 1984 .

[18]  Herbert Überall,et al.  Surface Waves in Acoustics , 1973 .

[19]  M. Talmant,et al.  Acoustic resonances of thin cylindrical shells and the resonance scattering theory , 1988 .

[20]  H. Überall,et al.  Surface wave resonances in sound scattering from elastic cylinders , 1978 .

[21]  Herbert Überall,et al.  Theory of elastic resonance excitation by sound scattering , 1978 .

[22]  C. W. Horton,et al.  Theoretical Analysis of the Scattering of Short Acoustic Pulses by a Thin‐Walled Metallic Cylinder in Water , 1962 .