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Semi-implicit transient analysis procedures for structural dynamics analysis
Authors:K. C. Park  J. M. Housner
Affiliation:1. Applied Mechanics Laboratory, Lockheed Palo Alto Research Laboratory, Palo Alto, California, U.S.A.;2. Structure and Dynamics Division, NASA Langley Research Center, Hampton, Virginia, U.S.A.
Abstract:A semi-implicit direct time integration procedure is presented which avoids factorization of the implicit difference solution matrix. The procedure, if properly implemented, requires only vectorial calculations and hence needs the same computer core space as explicit integration procedures. Guidelines for splitting the stiffness matrix into upper and lower matrices are established, which among other things are designed to satisfy a correct transmission of rigid-body motions from element (or grid) to its adjacent elements.
Keywords:
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