TY - JOUR

T1 - Block-diagonalization method for symmetric structures with rotational displacements

AU - Ario, Ichiro

AU - Ikeda, Kiyohiro

AU - Murota, Kazuo

PY - 1994

Y1 - 1994

N2 - 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.

AB - 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.

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U2 - 10.2208/jscej.1994.489_27

DO - 10.2208/jscej.1994.489_27

M3 - Article

AN - SCOPUS:0027961229

SP - 27

EP - 36

JO - Doboku Gakkai Rombun-Hokokushu/Proceedings of the Japan Society of Civil Engineers

JF - Doboku Gakkai Rombun-Hokokushu/Proceedings of the Japan Society of Civil Engineers

SN - 0385-5392

IS - 489 pt 1-27

ER -