Language selection

Government of Canada / Gouvernement du Canada

Search

A New procedure for evaluating the time domain boundary influence matrix of unbounded media

From National Research Council Canada

Download
  1. (PDF, 1.7 MiB)
AuthorSearch for: 1
Affiliation
  1. National Research Council of Canada. NRC Institute for Research in Construction
FormatText, Article
SubjectVibrations; finite element method
Abstract
The finite element method can only deal with finite domains with well defined boundaries. For dynamic problems involving unbounded media, the boundaries of the finite model distort the real physical behaviour of the problem if they remain untreated. For many problems it is possible to formulate so-called silent boundary conditions which perfectly simulate the effect of the truncated unbounded medium. Unfortunately, most of these conditions are properly formulated in the frequency domain. The present paper introduces a new procedure which employs these frequency-dependent boundary conditions to calculate the time domain influence matrix of the truncated unbounded medium. This matrix, which was introduced in a previous publication, is used to calculate the reflection-free response of the truncation boundary one time step ahead of the present time station. The known boundary response is then used as a prescribed condition for the finite model. A one-dimensional example with a frequency-dependent boundary condition si presented to examine the effectiveness of the new procedure. Two other silent boundary conditions formulated directly in the time domain are also examined.
Publication date
In
  • Computers and Structures 34, no. 6 (1990): 843–853.
LanguageEnglish
Peer reviewedYes
IdentifierIRC-P-1656
NRC numberNRCC 31708
NRC-IRC-1993
NPARC number20377155
Export citationExport as RIS
Report a correctionReport a correction (opens in a new tab)
Record identifier396d0639-fe52-401f-84f4-33d388057a9d
Record created2012-07-24
Record modified2020-06-06
Date modified: