Stiffness matrices for layered soils
- 1 December 1981
- journal article
- Published by Seismological Society of America (SSA) in Bulletin of the Seismological Society of America
- Vol. 71 (6), 1743-1761
- https://doi.org/10.1785/bssa0710061743
Abstract
The Haskell-Thompson transfer matrix method is used to derive layer stiffness matrices which may be interpreted and applied in the same way as stiffness matrices in conventional structural analysis. These layer stiffness matrices have several advantages over the more usual transfer matrices: (1) they are symmetric; (2) fewer operations are required for analysis; (3) there is an easier treatment of multiple loadings; (4) substructuring techniques are readily applicable; and (5) asymptotic expressions follow naturally from the expressions (very thick layers; high frequencies, etc.). While the technique presented is not more powerful than the original Haskell-Thompson scheme, it is nevertheless an elegant complement to it. The exact expressions are given for the matrices, as well as approximations for thin layers. Also, simple examples of application are presented to illustrate the use of the method.Keywords
This publication has 3 references indexed in Scilit:
- Lumped mass method for Rayleigh wavesBulletin of the Seismological Society of America, 1970
- The dispersion of surface waves on multilayered media*Bulletin of the Seismological Society of America, 1953
- Transmission of Elastic Waves through a Stratified Solid MediumJournal of Applied Physics, 1950