Selective Inversion of Stiffness Matrices

by James L. Tocher,

Serial Information: Journal of the Structural Division, 1966, Vol. 92, Issue 1, Pg. 75-88

Document Type: Journal Paper


An efficient method for obtaining the flexibility matrix of a structure by selective inversion of its stiffness matrix is presented. This method, a direct solution technique, is developed for the displacement method of structural analysis. The technique can be applied to both general and banded stiffness matrices. An algorithm for the Gauss elimination, designed for symmetric, positive definite matrices, is described. Timing comparisons (operation counts) are given for banded and fully populated matrices. A simple numerical example is given that illustrates the solution alogorithm and the selective inversion process.

Subject Headings: Stiffening | Matrix (mathematics) | Numerical methods | Displacement (mechanics) | Structural analysis | Algorithms | Gaussian process | Symmetry

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