FORCED OSCILLATIONS OF AN ELASTIC HALF-SPACE
Abstract
A series solution is obtained for the stress and deformation field generated in a homogeneous, isotropic, elastic half-space by means of a rigid disc attached to the surface and oscillating normal to it, a problem of interest in geophysics. The solution is exact to the extent that the amplitude factors in the series of spheroidal wave functions are determined by an infinite set of linear equations with complex coefficients. To obtain an approximate solution of this system of equations it was first necessary to prepare a program to extend the range of the tables of oblate spheroidal wave functions presently available, so that numerical values could be given to the coefficients appearing in these equations. This latter program and a program for the solution of a finite system of linear equations with complex coefficients are described. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- May 31, 1961
- Accession Number
- AD0259794
Entities
People
- Carson Flammer
- John R. Herndon
- Michael P. Stallybrass
Organizations
- SRI International