Dispersion of Axially Symmetric Waves In Three-Layered Elastic Shells

摘要

The frequency equation for trains of axisymmetric harmonic waves traveling in infinitely long, three-layered circular cylindrical shells and rods is established on the basis of the three-dimensional theory of elasticity. The shell or rod is assumed to be made of three concentric cylinders each of different isotropic material, bonded perfectly at their interfaces. The frequency equation has been evaluated numerically and the effect of the geometric and physical parameters of three layered shells on the frequency of the first few modes is illustrated. The limits that the phase velocities of the various modes of propagation approach asymptotically at large wave numbers are established analytically and verified by the numerical results. (Author)