On the Riccati transfer matrix method for repetitive structures

▶ Riccati transform applied to elastostatic analysis of extended repetitive structures. ▶ Eigenvalues of terms within the recursive relationships show why the method is numerically stable. ▶ The process, both backward and forward in space, may be regarded as a numerical analogue of Saint-Venant'...

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Bibliographic Details
Published inMechanics research communications Vol. 37; no. 7; pp. 663 - 665
Main Author Stephen, N.G.
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.10.2010
Subjects
Repetitive structure
Riccati
Transfer matrix
Transfer matrix
Riccati
Repetitive structure
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ISSN0093-6413
1873-3972
DOI10.1016/j.mechrescom.2010.07.017

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Summary:▶ Riccati transform applied to elastostatic analysis of extended repetitive structures. ▶ Eigenvalues of terms within the recursive relationships show why the method is numerically stable. ▶ The process, both backward and forward in space, may be regarded as a numerical analogue of Saint-Venant's principle. The Riccati transfer matrix method is employed in the elastostatic analysis of a repetitive structure subject to various loadings; the eigenvalues of particular terms featuring in the recursive relationships show why the method is numerically stable.
ISSN:0093-6413
1873-3972
DOI:10.1016/j.mechrescom.2010.07.017