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- W2081101091 abstract "A complex axisymmetric structure immersed in an infinite or semiinfinite fluid medium, excited by a plane acoustic wave or by a spherical or cylindrical acoustic wave emanating from a source in the vicinity of the structure or by a mechanical force acting on the structure, scatters and/or radiates the acoustic waves in the fluid medium. At a lower frequency range of excitation, vibrations of the structure and the radiating acoustic pressure strongly couples, whereas at higher frequency of excitation the structure can be regarded as rigid. A program called FIST (Fluid Interacting with STructures) is developed to analyze these problems. Using the Helmholtz integral, one can write a linear relation between the particle velocity normal to a cavity surface and the corresponding acoustic pressure. For efficiency and economy of calculations and for the consistency of velocity distribution between the structural elements and the corresponding fluid elements in contact, the distribution of pressure and velocity on the cavity surface is described by a cubic polynominal. These fluid equations couple with the equations of motion of the structure. Combining the fluid and structural equations we get Mẍ + Cẋ + Kx = Finc + Fmech. (1) Since this is a steady-state excitation problem, differential equation (1) reduces to a set of algebraic equations (− Mω2 + iωC + K)x = Finc + Fmech (2) Here matrix C is full and complex, K is real and banded, and M is real and diagonal. Further, the elements of K are several orders of magnitude larger than those of C. This ill conditioning causes a severe degradation in computational accuracy when one attempts to decompose the dynamic matrix. Two alternatives are available. (a) Iterate Eqs. (2) using the initial vector given by the solution of the in vacuo response of the structure. (b) Transform Eqs. (2) using in vacuo modes of the structure. We opted for the second approach and using that we have calculated the signature of a full scale marine structure. Construction of fluid and the modal matrices are computationally quite intensive. An original attempt to use a UNIVAC 1108 was dropped because it would have taken approximately 250 h of CPU time to calculate one bistatic plot. A UNIVAC 1110, although faster, took 50 h of CPU time to calculate one bistatic plot. Using a CRAY computer with its large core and speed of computations, it took only 20 min of CPU time to calculate a complete monostatic plot." @default.
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- W2081101091 date "1984-10-01" @default.
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- W2081101091 title "Radiation and scattering from large axisymmetric structures in an infinite or semiinfinite fluid medium" @default.
- W2081101091 doi "https://doi.org/10.1121/1.2021700" @default.
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