Two-Dimensional Planar Geosystems Subjected to Three-Dimensional Dynamic Loads
Abstract
This report summarizes an analysis for estimating the variation of displacements in space and time produced by dynamic loads in complex isotropic media using a numerical approximation method. The important distinction is that the formulation allows certain three-dimensional (3-D) problems to be solved using a two-dimensional (2-D) numerical model. To implement this method, the stratigraphy and material properties cannot vary in a horizontal direction (2-D stratigraphy). However, the distribution and extent of loads may vary in both horizontal directions (3-D load) providing for the analysis of synthetic sources. These types of problems cannot be solved analytically but normally would be solved using a laborious 3-D numerical approximation. The procedure involves condensing the 3-D dynamic stiffness matrices into equivalent 2-D matrices and representing the load function in the out-of-plane direction with a Fourier expansion. This report summarizes previous studies of wave propagation, the proposed formulation and computer implementation of a new finite element computer code, and the validation and parametric analysis of this code.
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 01, 1992
- Accession Number
- ADA258723
Entities
People
- David W. Sykora
- Jose M. Roesset