Block-diagonalization analysis of symmetric plates

Kiyohiro Ikeda; Ichiro Ario; Kunio Torii

doi:10.1016/0020-7683(92)90118-D

Block-diagonalization analysis of symmetric plates

Kiyohiro Ikeda, Ichiro Ario, Kunio Torii

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	2779-2793
Number of pages	15
Journal	International Journal of Solids and Structures
Volume	29
Issue number	22
DOIs	https://doi.org/10.1016/0020-7683(92)90118-D
Publication status	Published - 1992
Externally published	Yes

ASJC Scopus subject areas

Modelling and Simulation
Materials Science(all)
Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering
Applied Mathematics

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10.1016/0020-7683(92)90118-D

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AU - Ario, Ichiro

AU - Torii, Kunio

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AB - 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.

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ER -

Block-diagonalization analysis of symmetric plates

Abstract

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