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Selective inversion of stiffness matrices
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
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. (Autor:in)
1966
14 pages
Aufsatz (Zeitschrift)
Englisch
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