Free-Wave Propagation in Fluid-Loaded Thick-Walled Circular Pipes

摘要

An infinite thick-walled pipe contains, and is surrounded by, an inviscid fluid. The displacements of the pipe's wall satisfy the exact linear equations of elasticity, and the interior and exterior fluids satisfy the scalar Helmholtz wave equation. The differential equations are solved by means of Fourier transforms to give the dispersion relation connecting frequency with axial and circumferential wavenumbers. The dispersion relation is solved numerically to give examples of 'real' axial wavenumber versus frequency plots for selected circumferential harmonics. (Author)