Stiffness Matrix Reduction for Large Structural Systems Using Cholesky Decomposition.
Abstract
Using a method similar to that proposed by Rosen and Rubinstein, a computer program was written to reduce the stiffness matrix of a multi-degree of freedom system down to an equivalent stiffness matrix involving a smaller number of degrees of freedom. Since this method uses Cholesky decomposition instead of the more common matrix inversion, it is useful for substructure problems in which a large number of degrees of freedom are to be condensed and eliminated. The computer program in Appendix B is most efficient when used for a large degree of freedom system with a sparse stiffness matrix. An example problem is explained in Appendix C to demonstrate the use of the program. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 1973
- Accession Number
- AD0768721
Entities
People
- Gordon Holze
Organizations
- Construction Engineering Research Laboratory