Premium
Semi‐implicit transient analysis procedures for structural dynamics analysis
Author(s) -
Park K. C.,
Housner J. M.
Publication year - 1982
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620180410
Subject(s) - stiffness matrix , matrix (chemical analysis) , factorization , grid , finite element method , computer science , direct stiffness method , algorithm , transient (computer programming) , transient analysis , space (punctuation) , mathematics , geometry , structural engineering , transient response , engineering , materials science , composite material , operating system , electrical engineering
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.