Accession Number : ADA304827

Title :   FORTRAN Algorithms for the Three-Dimensional Solution of Two-Layer Solid and Hollow Cylinder Dynamic Elasticity Problems With and Without Fluids.

Descriptive Note : Final rept.,

Corporate Author : NAVAL UNDERSEA WARFARE CENTER NEWPORT DIV RI

Personal Author(s) : Peloquin, Mark S.

PDF Url : ADA304827

Report Date : 29 NOV 1995

Pagination or Media Count : 254

Abstract : This document contains FORTRAN algorithms for the numerical evaluation of exact closed form solutions to four fluid/structure interaction mathematical problems that are modeled as cylinders and fluids. The cylinders (infinitely long in the longitudinal x-direction) are modeled as three-dimensional linear viscoelastic solids, and the fluids are treated as inviscid. The outer fluid extends to infinity in the radial r-direction; the inner fluid (contained within the hollow cylinder) is bounded by the inner cylinder at radius r = a. The cylinders are subject to forced harmonic vibration at the solid/fluid interface. The response to both axisymmetric and nonaxisymmetric excitations is calculated, with nonaxisymmetric excitation described in terms of circumferential order number n. The first model is comprised of a single hollow cylinder, filled with an inner fluid and immersed in an outer fluid. The second model consists of a single solid cylinder immersed in an outer fluid. The third model, an extension of the second one, adds a second cylinder in contact with the first cylinder. The fourth model consists of the two-layered cylinder with outer fluid (model three); however, the inner cylinder is now hollow and contains an inner fluid. Structural damping requires that the material properties be represented as complex numbers; therefore, series solutions to the Bessel functions are required. Native algorithms are provided for the Bessel functions, with certain parameter restrictions, and a subroutine is given to allow use of the external FORTRAN Bessel function libraries provided by MathWorks, Inc., without parameter restriction. (AN)

Descriptors :   *MATHEMATICAL MODELS, *ALGORITHMS, *FORTRAN, *SUBROUTINES, COMPUTER PROGRAM DOCUMENTATION, VIBRATION, EXCITATION, VISCOELASTICITY, MODULUS OF ELASTICITY, INPUT OUTPUT PROCESSING, COMPUTATIONAL FLUID DYNAMICS, THREE DIMENSIONAL, SOLUTIONS(GENERAL), CYLINDRICAL BODIES, SHEAR STRESSES, COMPLEX NUMBERS, INVISCID FLOW, POISSON RATIO, BESSEL FUNCTIONS, AXISYMMETRIC FLOW.

Subject Categories : Operations Research
      Computer Programming and Software
      Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE