Wave propagation on thin-walled curved elastic plates with truncations
Leopold B. Felsen, I‐Tai Lu · The Journal of the Acoustical Society of America · 1988
Pierce [ITUAM Elastic Wave Symposium, Galway, Ireland (March 1988)] has recently described the dynamics of thin-walled uniform cylindrical shells by analogy with propagation in an infinite two-dimensional uniform anisotropic medium. This analysis is generalized here, first, by allowing for edge truncations and joints, thereby generating finite or joined cylindrically curved plates. and second, by allowing for weak deviations from circular cylindrical curvature and constant thickness. The resulting equivalent anisotropic medium models involve, respectively, terminated or joined half-spaces, and spatial inhomogeneities. The analytical tools used for the generalization under time-harmonic point force excitation include infinite angular space representations, adiabatic Fourier transforms, reduced spectra (in terms of characteristic plate waves) tied to a preferred spatial coordinate, and anisotropic ray asymptotics. These analytical constructs are given a physical interpretation by recourse to the dispersion surfaces for anisotropic waves. [Work supported by David Taylor NRDC and ONR.]