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A new fictitious time for the dynamic relaxation (DXDR) method
Author(s) -
Kadkhodayan M.,
Alamatian J.,
Turvey G. J.
Publication year - 2007
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.2201
Subject(s) - truss , dynamic relaxation , convergence (economics) , rank (graph theory) , relaxation (psychology) , method of mean weighted residuals , mathematics , residual , mathematical optimization , rate of convergence , computer science , algorithm , finite element method , geometry , structural engineering , engineering , combinatorics , psychology , social psychology , galerkin method , economics , economic growth , computer network , channel (broadcasting)
This paper addresses the development of the DXDR method by introducing a modified fictitious time (MFT) increment. The MFT is determined by minimizing the residual force after each iteration. The rank of the convergence rate shows the advantage of the new method. The results obtained from plate and truss analyses demonstrate the potential of the new method. It is shown that, compared with a unit fictitious time, the MFT is more efficient, especially during the initial iterations. Moreover, MFT does not impose any additional constraints on the DXDR method. Copyright © 2007 John Wiley & Sons, Ltd.