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Efficient method for obtaining flexibility matrix of structure by selective inversion of its stiffness matrix is presented; this method, direct solution technique, is developed for displacement method of structural analysis; technique can be applied to both general and banded stiffness matrices; algorithm for Gauss elimination, designed for symmetric, positive definite matrices, is described; timing comparisons (operation counts) are given for banded and fully populated matrices; simple numerical example is given that illustrates solution algorithm and selective inversion process.
Efficient method for obtaining flexibility matrix of structure by selective inversion of its stiffness matrix is presented; this method, direct solution technique, is developed for displacement method of structural analysis; technique can be applied to both general and banded stiffness matrices; algorithm for Gauss elimination, designed for symmetric, positive definite matrices, is described; timing comparisons (operation counts) are given for banded and fully populated matrices; simple numerical example is given that illustrates solution algorithm and selective inversion process.
Selective inversion of stiffness matrices
ASCE -- Proc (J Structural Div)
Tocher, J.L. (author)
1966
14 pages
Article (Journal)
English
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