Substructure Analysis by Matrix Decomposition

by Richard Rosen, Manager; Computer Methods Dept., Mechanics Res. Inc., Los Angeles, CA,
Moshe F. Rubinstein, Prof. of Engrg.; Dept. of Engrg., Univ. of California, Los Angeles, CA,

Serial Information: Journal of the Structural Division, 1970, Vol. 96, Issue 3, Pg. 663-670

Document Type: Journal Paper


The method uses the substructure transformation inherent in the Choleski decomposition and involves a partial release of the interior coordinates. A comparison is made between the decomposition method and the standard one which requires the full release of all interior degrees-of-freedom before the boundary problem is solved. It is concluded that the decomposition method requires less numerical calculations and manipulates less data than the standard method. In addition, the numerical calculations for the substructure decomposition method can be performed within the context of the Choleski decomposition method and requires few new computer routines.

Subject Headings: Numerical methods | Decomposition | Matrix (mathematics) | Substructures | Comparative studies | Domain boundary | Computing in civil engineering

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