Propagation of three-dimensional boundary waves in thin viscoelastic cylindrical shells

This paper examines the propagation of three-dimensional boundary waves in an infinite, thin, viscoelastic cylindrical shell. The governing equations are formulated using the three-dimensional theory of viscoelasticity in cylindrical coordinates. The problem is reduced to an eigenvalue problem using separation of variables and potential functions. A numerical solution is obtained using the Muller method, and dispersion relations are analyzed. The influence of viscoelastic parameters on natural frequencies is studied. The results indicate that material viscosity has a significant impact on wave attenuation and frequency characteristics. Comparisons with the classical Kirchhoff-Love theory demonstrate good agreement at low wave numbers, while deviations increase at higher frequencies.

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