Wave propagation in fluid-loaded, transversely isotropic cylinders. Part II. Numerical results

Abstract

The frequency equation of a coupled system consisting of an infinitely long, fluid-loaded, homogeneous, transversely isotropic cylinder was derived in Part I [J. Acoust. Soc. Am. 99, 1841–1847 (1996)]. In this paper, Part II, the frequency spectra for the n=1 nonaxisymmetric modes of wave propagation are presented for hollow cylinders, fluid-filled cylinders, and cylinders that are fluid filled and immersed in fluid. These frequency spectra consist of the first three branches corresponding to the flexural mode, the longitudinal mode, and the circumferential mode. Since propagation modes are of primary interest, branches extending into the imaginary and complex wave-number domain are not included in this study. Numerical results for an isotropic (linearly elastic) rubber cylinder are compared to the results for a highly anisotropic, fiber-reinforced cylinder. The material properties of the rubber cylinder are identical to the properties of the matrix material of the fiber-reinforced cylinder. It is shown that the characteristics of wave propagation in the fiber-reinforced cylinder, with and without fluid loading, are markedly different from the characteristics of wave propagation in the isotropic cylinder.