Block-diagonalization analysis of symmetric plates

This paper presents a block-diagonalization method to solve stiffness equations of isotropic symmetric plates. By means of a suitable “local” coordinate transformation, chosen based on group theory, the stiffness matrix is decomposed into a block-diagonal form. The stiffness equation in the local co...

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Bibliographic Details
Published inInternational journal of solids and structures Vol. 29; no. 22; pp. 2779 - 2793
Main Authors Ikeda, Kiyohiro, Ario, Ichiro, Torii, Kunio
Format Journal Article
LanguageEnglish
Published Oxford Elsevier Ltd 1992
Elsevier Science
Subjects
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Physics
Solid mechanics
Static elasticity (thermoelasticity...)
Structural and continuum mechanics
Matrix diagonalization
Symmetry group
Computer program
Group theory
Block matrix
Isotropic material
Plate
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Summary:This paper presents a block-diagonalization method to solve stiffness equations of isotropic symmetric plates. By means of a suitable “local” coordinate transformation, chosen based on group theory, the stiffness matrix is decomposed into a block-diagonal form. The stiffness equation in the local coordinate is solved block by block, thus realizing numerical efficiency and greatly reducing the requisite amount of computer memory. The efficiency has been further upgraded with the aid of the concept of augmented orbit. This method is applied to a square isotropic plate subject to “asymmetric” loads to show its usefulness.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0020-7683
1879-2146
DOI:10.1016/0020-7683(92)90118-D