NEHRP Clearinghouse
- Title
- Silent Boundary Methods for Transient Wave Analysis.
- File
- PB82201831.pdf
- Author(s)
- Cohen, M.
- Source
- National Science Foundation, Washington, DC., January 1981, 216 p.
- Identifying Number(s)
- EERL-80-09
- Abstract
- A dynamic model is developed that is designed to absorb infinitely radiating waves in a finite, computational grid. The analysis studies the problem of soil-structure interaction, where energy propagates outward, from a region near a structure, toward the boundaries. The proposed method, the extended-paraxial boundary, is derived from one-directional wave theories. The extended-paraxial boundary is compared, both analytically and numerically, with two other transmitting boundaries, the standard viscous and unified viscous methods. Analytical results indicate that the extended-paraxial boundary enjoys a distinct advantage in cancelling wave reflections. Numerical tests reveal a small superiority over the viscous approaches. The relationship between the silent boundaries and Rayleigh waves, spherically symmetric and axially symmetric waves, nonlinear waves, anisotropic media, and numerical stability are discussed.
- Keywords
- Seismic waves; Mathematical models; Computer applications; Finite element analysis; Earthquake engineering; Wave propagation; Rayleigh waves; Theses; Soil structure interactions; Boundaries; Earthquakes