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Journal of the Franklin Institute
Article . 1968 . Peer-reviewed
License: Elsevier TDM
Data sources: Crossref
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
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Structural analysis by matrix decomposition

descriptionPublicationkeyboard_double_arrow_right Article 01 Oct 1968 English Publisher:Elsevier BVJournal:Journal of the Franklin Institute, volume 286, pages 331-345 (issn: 0016-0032, Copyright policy )
Authors: Moshe F. Rubinstein; Richard Rosen;

doi: 10.1016/s0016-0032(68)90581-4

Structural analysis by matrix decomposition

Abstract

Abstract A physical interpretation is derived for the Choleski decomposition method as applied to structural analysis. Both the stiffness (displacement) and flexibility (force) methods of structural analysis are treated. The interpretation is shown to be valuable in providing physically meaningful upper and lower bounds on the elements of the decomposed diagonal matrix. These bounds are useful in error analysis of structural computations on a digital computer.

Related Organizations
Keywords

Finite element methods applied to problems in solid mechanics, Other matrix algorithms

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    citations
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    		 13
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Average
    influence
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    		 Top 10%
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
13
Average
Top 10%
Average
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