FORCED VIBRATIONS OF AN ELASTIC CIRCULAR CYLINDRICAL BODY OF FINITE LENGTH SUBMERGED IN AN ACOUSTIC FLUID
Abstract
The first part of a study on the development of methods for treating the forced vibrations of elastic bodies of revolution submerged in an acoustic fluid is described. Specifically, the pressure and velocity fields which are produced in the fluid by the harmonic excitation of an elastic circular cylindrical body of finite length, are evaluated; the elastic cylinder is solid. A potential theory approach is used. The stresses and velocities in an elastic cylinder of finite length can be expressed in terms of 3 potential functions, each of which satisfies the wave equation. Similarly, the corresponding quantitites in the fluid can be expressed in terms of a single fluid pot ntial which also satisfies the wave equation. Consequently, each of the 4 potential functions can be considered to be caused by a group of sources of unknown strength distributed over the boundaries of the elastic body and the fluid surface. Using essentially a finite difference approach, the boundaries of both the cyli drical body and the fluid are divided into a series of bands on which each of the unknown source strengths is considered to be constant over the band. Conditions on the stresses and velocities at the fluid-elastic body interface lead to a system of simultaneous linear algebraic equations on the source strengths. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1962
- Accession Number
- AD0286905
Entities
People
- Alva T. Matthews
- Hans H. Bleich
- Melvin L. Baron