The Efficient Calculation and Display of Dispersion Curves for a Thin Cylindrical Shell Immersed in a Fluid
1992
Schenck, Harry A.
Pub. in Proceedings of International Congress on Acoustics (14th), v1 pB8-2, 3-10 Sep 1992.
Show more [+] Less [-]Much of the extensive literature on shell theory centers around the computation of on curves, usually thought of as the roots of a determinant D which relates the angular frequency w to the wave numbers for free waves traveling on the shell. For a cylindrical shell, the free wave paths are actually helical curves on the surface of the shell, having both a circumferential and an axial wave number. In this case, it is useful to indicate explicitly that the dispersion relation is a function of three variables, i.e., D(w, m, n) = 0, where m is the number of half wavelengths of a wave traveling in the axial direction, and n is the number of full wavelengths of a wave traveling around the shell. We shall refer to this function D(w, m, n) as the dispersion volume density, since it is a function of three variables. Normally, one sees various two-dimensional displays of the dispersion relation, which are created by plotting any two of these variables against each other, while holding the third variable fixed. Target strength, Martsam Active surveillance,
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