Wave Propagation in Transversely Isotropic, Layered Cylinders

摘要

The propagation of infinite trains of symmetric harmonic waves traveling in infinitely long, right circular cylindrical shells is investigated on the basis of the three-dimensional theory of elasticity. The shells are assumed made of three concentric, transversely isotropic cylinders each of different materials bonded perfectly at their interfaces. The frequency equation is established by representing the displacement field in each cylinder in terms of potential functions and satisfying the Navier equations of motion and the boundary and interface conditions of the cylinder The frequency equation has been programmed for numerical evaluation on an IBM 7044/7094 DCS computer, and the influence of the mechanical properties of the layers on the frequencies of the first few modes is investigated. (Author)