Stiffness Matrix Reduction for Large Structural Systems Using Cholesky Decomposition.
ARMY CONSTRUCTION ENGINEERING RESEARCH LAB CHAMPAIGN ILL
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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
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