A new algorithm of time stepping in the non-linear dynamic analysis

Citation
Ht. Yang et al., A new algorithm of time stepping in the non-linear dynamic analysis, COMMUN NUM, 17(9), 2001, pp. 597-611
Citations number
9
Categorie Soggetti
Engineering Mathematics
Journal title
COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING
ISSN journal
10698299 → ACNP
Volume
17
Issue
9
Year of publication
2001
Pages
597 - 611
Database
ISI
SICI code
1069-8299(200109)17:9<597:ANAOTS>2.0.ZU;2-C
Abstract
This paper presents a new scheme of time stepping for solving non-linear dy namic problems. By expanding variables in a discretized time interval, FEM- based recurrent formulae are derived leading to a self-adaptive algorithm f or different sizes of time steps. There will be no requirement of iteration for the non-linear solutions. Numerical validation shows satisfactory resu lts. Copyright (C) 2001 John Wiley & Sons, Ltd.