A Stationary Formulation of the Space-time Finite Element Method

Zbigniew Kacprzyk

Abstract

In this work, an unconditionally stable space-time finite element method is derived in its stationary form (the discretization is time invariant),[1], [2], [3], [4], [5] and [6]. The method formulation is solely displacement-based. An explicit or implicit integration scheme is obtained depending on the assumed parameters. The method's stability criterion has been derived. Assumed factors determine whether the method is conditionally or unconditionally stable. The precision of the solution has been subject to evaluation and the method's algorithm has been given. The presented method has been compared with Newmark's method [7] (a popular method of the equation of motion integration). The generalization presented in this paper is in analogy to the generalization in paper [8] and serves only as a reminder of this major work.
Author Zbigniew Kacprzyk IIB
Zbigniew Kacprzyk,,
- The Institute of Civil Engineering
Journal seriesProcedia Engineering, ISSN 1877-7058
Issue year2016
Vol153
Pages248-255
Publication size in sheets0.5
ConferenceXXV Polish – Russian – Slovak Seminar “Theoretical Foundation of Civil Engineering", 11-07-2016 - 16-07-2016, Zilina, Słowacja
Keywords in EnglishSpace-time finite element method; dynamic structures
DOIDOI:10.1016/j.proeng.2016.08.110
Languageen angielski
File
Kacprzyk Z..pdf 4.58 MB
Score (nominal)15
ScoreMinisterial score [Punktacja MNiSW] = 15.0, 28-11-2017, ArticleFromJournalAndMatConf
Ministerial score (2013-2016) [Punktacja MNiSW (2013-2016)] = 15.0, 28-11-2017, ArticleFromJournalAndMatConf
Citation count*1 (2018-06-15)
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