A study of the stability of subcycling algorithms in structural dynamics

Daniel, WJT (1998) A study of the stability of subcycling algorithms in structural dynamics. Computer Methods In Applied Mechanics And Engineering, 156 1-4: 1-13. doi:10.1016/S0045-7825(97)00140-0

Author Daniel, WJT
Title A study of the stability of subcycling algorithms in structural dynamics
Journal name Computer Methods In Applied Mechanics And Engineering   Check publisher's open access policy
ISSN 0045-7825
Publication date 1998
Sub-type Article (original research)
DOI 10.1016/S0045-7825(97)00140-0
Volume 156
Issue 1-4
Start page 1
End page 13
Total pages 13
Language eng
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. (C) 1998 Elsevier Science S.A.
Keyword Mathematics, Interdisciplinary Applications
Engineering, Multidisciplinary
Time Finite-elements
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Unknown

Document type: Journal Article
Sub-type: Article (original research)
Collection: School of Mechanical & Mining Engineering Publications
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Citation counts: TR Web of Science Citation Count  Cited 27 times in Thomson Reuters Web of Science Article | Citations
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Created: Mon, 13 Aug 2007, 10:26:37 EST