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.
显示更多 [+] 显示较少 [-]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,
显示更多 [+] 显示较少 [-]