000021966 001__ 21966
000021966 005__ 20170622131315.0
000021966 04107 $$aeng
000021966 046__ $$k2017-06-15
000021966 100__ $$aSoroushian, Aram
000021966 24500 $$aON SUFFICIENT AND NECESSARY CONDITIONS FOR NUMERICAL STABILITY IN NONLINEAR TRANSIENT ANALYSIS

000021966 24630 $$n6.$$pComputational Methods in Structural Dynamics and Earhquake Engineering
000021966 260__ $$bNational Technical University of Athens, 2017
000021966 506__ $$arestricted
000021966 520__ $$2eng$$aTime integration is almost the mere practical tool to analyze nonlinear structural dynamic behaviors. However, the responses are approximations. Accordingly, numerical stability is an important issue effectual in many practical time integration analyses as well as researches involved in transient analysis. While the necessary and sufficient conditions for numerical stability of the responses obtained from time integration are clear for linear problems, major ambiguities persist for the stability of nonlinear analyses. This is the subject of discussion in this paper. The discussion starts with a new relation (developed in this paper) implying numerical stability for both linear and nonlinear systems and then using that relation not only the necessary and sufficient conditions of numerical stability of linear problems are re-obtained but also relations are suggested as necessary and sufficient conditions for numerical stability of nonlinear problems. Implementation/consideration of the suggested conditions in real analyses is also discussed.

000021966 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000021966 653__ $$a

000021966 7112_ $$aCOMPDYN 2017 - 6th International Thematic Conference$$cRhodes Island (GR)$$d2017-06-15 / 2017-06-17$$gCOMPDYN2017
000021966 720__ $$aSoroushian, Aram
000021966 8560_ $$ffischerc@itam.cas.cz
000021966 8564_ $$s116141$$uhttps://invenio.itam.cas.cz/record/21966/files/18493.pdf$$yOriginal version of the author's contribution as presented on CD, section: [MS31] Advances in transient analysis of structures and the academic/commercial soft wares
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000021966 962__ $$r21500
000021966 980__ $$aPAPER