Title of article :
A study of the stability of subcycling algorithms in structural dynamics Original Research Article
Author/Authors :
William John Trevor Daniel، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 1998
Pages :
13
From page :
1
To page :
13
Abstract :
Algorithms for explicit integration of structural dynamics problems with multiple time steps (subcycling) are investigated. Only one such algorithm, due to Smolinski and Sleith has proved to be stable in a classical sense. A simplified version of this algorithm that retains its stability is presented. However, as with the original version, it can be shown to sacrifice accuracy to achieve stability. Another algorithm in use is shown to be only statistically stable, in that a probability of stability can be assigned if appropriate time step limits are observed. This probability improves rapidly with the number of degrees of freedom in a finite element model. The stability problems are shown to be a property of the central difference method itself, which is modified to give the subcycling algorithm. A related problem is shown to arise when a constraint equation in time is introduced into a time-continuous space-time finite element model.
Journal title :
Computer Methods in Applied Mechanics and Engineering
Serial Year :
1998
Journal title :
Computer Methods in Applied Mechanics and Engineering
Record number :
891182
Link To Document :
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