Acoustic Energy Transmission from a Rod into a Semi-Infinite Medium.
Abstract
The solution of the problem of the semi-infinite, cylindrical, elastic, homogeneous rod set in an infinite baffle and radiating into a semi-infinite liquid, non-viscous medium is the subject of this report. An approximation method is utilized. The axisymmetric stress fields in the rod are expressed as infinite sums over eigenvalues which are solutions of the dispersion boundary conditions for the rod. The pressure in the liquid is derived using the Green's functions technique. An infinite series of integrals is the result as the velocity of the rod (which is expressed as an infinite series) must be inserted in the integral expression for pressure. In order to solve the problem numerically these infinite sums are truncated. By matching the boundary conditions across the interface the velocity profile is obtained which can then be used to construct the farfield radiation patterns in the liquid. Power, radiation impedance, beam width, directivity factor and directivity index are calculated from the fields. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 02, 1970
- Accession Number
- AD0720270
Entities
People
- E. L. Hixson
- Gerald G. Maxwell
Organizations
- University of Texas at Austin