Block-diagonalization method for symmetric structures with rotational displacements

Ichiro Ario, Kiyohiro Ikeda, Kazuo Murota

Research output: Contribution to journalArticlepeer-review


The group-representation theory guarantees that the (tangent) stiffness matrix of symmetric structures can be put into a block-diagonal form by means of a suitable (local) geometric transformation. This transformation decomposes the linear equilibrium equation of symmetric structures into a number of independent equations, and hence is advantageous for parallel analysis. The block-diagonalization method, with so far has mainly been applied for translational displacements, is extended here to rotational ones. The interrelationship between the symmetries of rotational and translational displacements is investigated by means of group theory to arrive at the transformation matrix of rotational ones.

Original languageEnglish
Pages (from-to)27-36
Number of pages10
JournalDoboku Gakkai Rombun-Hokokushu/Proceedings of the Japan Society of Civil Engineers
Issue number489 pt 1-27
Publication statusPublished - 1994
Externally publishedYes

ASJC Scopus subject areas

  • Engineering(all)


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