000022078 001__ 22078
000022078 005__ 20170622145955.0
000022078 04107 $$aeng
000022078 046__ $$k2015-05-25
000022078 100__ $$aAhmadi, Goodarz
000022078 24500 $$aIMPLEMENTATION OF A SIMPLE RELIABLE ERROR EVALUATION METHOD IN STATIC/DYNAMIC FINITE ELEMENT ANALYSIS OF FRAMES

000022078 24630 $$n5.$$pComputational Methods in Structural Dynamics and Earhquake Engineering
000022078 260__ $$bNational Technical University of Athens, 2015
000022078 506__ $$arestricted
000022078 520__ $$2eng$$aAnalysis of accuracy and evaluation of the errors are significant issues in finite element analysis, and many a priori and a posteriori error estimates were suggested, in the past decades. Based on the notions of proper and pseudo convergence, and the features of Richardson extrapolation, in 2009, a simple reliable and economical method is proposed for evaluating the errors of arbitrary approximate computations. Considering the broad implementation of finite element method (FEM), and the conventional orders of accuracies, the attention here is given to the errors in static and dynamic structural analyses, where, in the latter, the analyses are carried out by time integration. The performance of the recent error evaluation method for finite element analysis of static/dynamic behaviors of frames is discussed. Particular attention is to the fact that in the dynamic finite element analyses, there exist several algorithmic parameters. The adequacy of the theoretical error analysis discussions are then demonstrated by detailed numerical simulations of two frames in static and then in dynamic regimes. The simulations results are found to be in agreement with the theoretical expectations. In short, the recent error evaluation method can be reliably implemented for evaluating the accuracies of the static and dynamic finite element analyses of frames. Further investigations toward developing more efficient, more reliable, and more versatile error evaluation methods are proposed. 

000022078 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000022078 653__ $$a

000022078 7112_ $$aCOMPDYN 2015 - 5th International Thematic Conference$$cCrete (GR)$$d2015-05-25 / 2015-05-27$$gCOMPDYN2015
000022078 720__ $$aAhmadi, Goodarz$$iZiaeemehr, Bahador$$iSoroushian, Aram
000022078 8560_ $$ffischerc@itam.cas.cz
000022078 8564_ $$s10285$$uhttp://invenio.itam.cas.cz/record/22078/files/C1144_abstract.pdf$$yOriginal version of the author's contribution as presented on CD, section: 
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000022078 962__ $$r22030
000022078 980__ $$aPAPER