Abstract.

The present work deals with the dispersion of longitudinal waves propagating in an eccentric solid cylinder consisting of two materials. The investigation is carried out using the exact linear 3D theory of elastodynamics within the framework of a piecewise homogeneous body model. The main objective of this investigation is to develop an appropriate analytical numerical solution method for the corresponding eigenvalue problem and to determine the influence of the eccentricity of the circular cylinder on the character of the dispersion curves of the propagating waves.

Keywords:

eccentric circular compound cylinder, wave dispersion, dispersion curves, ZGV mode, Fourier series expansion.