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Numerical stability of dynamic relaxation analysis of nonlinear structures
The estimation of the parameters ('fictitious densities') which control the convergence and numerical stability of a non-linear dynamic relaxation solution is described. The optimal values of these parameters vary during the iterative solution and they are predicted from the Gerschgorin bounds, that is rowsums of the stiffness matrix, which are divided into constant and variable parts for computational convenience. The procedure is illustrated by reference to the analysis of an axially loaded beam on a non-uniform elastic foundation.
Numerical stability of dynamic relaxation analysis of nonlinear structures
The estimation of the parameters ('fictitious densities') which control the convergence and numerical stability of a non-linear dynamic relaxation solution is described. The optimal values of these parameters vary during the iterative solution and they are predicted from the Gerschgorin bounds, that is rowsums of the stiffness matrix, which are divided into constant and variable parts for computational convenience. The procedure is illustrated by reference to the analysis of an axially loaded beam on a non-uniform elastic foundation.
Numerical stability of dynamic relaxation analysis of nonlinear structures
Numerische Stabilitaet der dynamischen Relaxationsanalyse von nichtlinearen Strukturen
Cassell, A.C. (author) / Hobbs, R.E. (author)
International Journal for Numerical Methods in Engineering ; 10 ; 1407-1410
1976
4 Seiten, 14 Quellen
Article (Journal)
English
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