Abstract
The scattering of acoustic waves by an infinitely long cylindrical shell immersed in a fluid is analyzed. A new approach has been proposed using thin shell theory; incorporating the impedance of the shell in the T‐matrix formulation. Numerical results are presented for the farfield back scattering amplitude as a function of frequency. Calculations were made for infinitely long circular and elliptic cylindrical shells immersed in water for various shell thicknesses, for waves incident at an arbitrary angle in the plane normal to the axis of the cylinder. The impedance resulting from the use of various shell theory approximations for circular cylindrical shells is presented. Love‐Timoshenko and Flugge‐Byrne‐Lurye theories for circular cylindrical shells have been compared with the full elasticity solution using the separation of variables approach. Comments have been made regarding the range of applicability of various shell theories.
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