ASYMPTOTIC APPROXIMATION FOR THE ELASTIC NORMAL MODES IN A STRATIFIED SOLID MEDIUM
Abstract
The asymptotic approximation method was applied to the calculation of normal modes of elastic waves in a solid medium. The approximations were based on the assumption that the properties of the medium are slowly varying functions of one coordinate in the sense of a small relative variation within a wave length. A comparison of dispersion curves computed by the approximate theory with those computed by the exact theory for a medium of 2 or 3 homogeneous layers indicated that the approximate theory is fairly accurate for normal modes of higher order than the fifth or sixth. The approximation for the lower modes is considered of some value for rough estimations, provided the approximations are used in conjunction with the limiting forms of the exact theory.
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1953
- Accession Number
- AD0019699
Entities
People
- Norman A. Haskell
Organizations
- Air Force Cambridge Research Laboratories