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Silent Boundary Methods for Transient Wave Analysis


Cohen, Martin (1981) Silent Boundary Methods for Transient Wave Analysis. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/xrgh-ag46.


This thesis sets forth a dynamic model, designed to absorb infinitely radiating waves in a finite, computational grid. The analysis is primarily directed toward the problem of soil-structure interaction, where energy propagates from a region near a structure, outward toward the boundaries.

The proposed method, called the extended-paraxial boundary, is derived from one-directional, wave theories that have been propounded by other authors. In this thesis, the theory is presented from a more general viewpoint and is studied for its stability properties. This work suggests some modifications to the method as it was first presented. Innovations are also put forward in the boundary's implementation for finite element calculations. These alterations render the boundary an effective wave absorber.

The extended-paraxial boundary is then compared, both analytically and numerically, with two other transmitting (or silent) boundaries currently available -- the standard-viscous and unified-viscous methods. The analytical results indicate that the extended-paraxial boundary enjoys a distinct advantage in cancelling wave reflections; actual numerical tests revealed a small superiority over the viscous approaches.

Various issues are also discussed as they relate to the silent boundaries. These include Rayleigh waves, spherically symmetric and axially symmetric waves, nonlinear waves, anisotropic media, and numerical stability.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:(Civil Engineering)
Degree Grantor:California Institute of Technology
Division:Engineering and Applied Science
Major Option:Civil Engineering
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Jennings, Paul C.
Group:Earthquake Engineering Research Laboratory
Thesis Committee:
  • Unknown, Unknown
Defense Date:23 September 1980
Other Numbering System:
Other Numbering System NameOther Numbering System ID
Record Number:CaltechThesis:08132021-221014507
Persistent URL:
Related URLs:
URLURL TypeDescription ItemTechnical Report EERL 97-08 in CaltechAUTHORS
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:14322
Deposited By: Kathy Johnson
Deposited On:07 Nov 2022 22:02
Last Modified:07 Nov 2022 22:04

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