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Efficient nonlinear reanalysis for structural modifications
Author(s) -
Materna Daniel
Publication year - 2016
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201610100
Subject(s) - residual , nonlinear system , computer science , mathematical optimization , finite element method , mathematics , algorithm , engineering , structural engineering , physics , quantum mechanics
In this paper an approach for nonlinear reanalysis based on residual increment approximations (RIA) is presented. The method requires only the evaluation of residual vectors, which can be done very fast and efficient. Moreover, the results are improved by using a rational approximation method. The approach is general and can be applied to linear and nonlinear problems with different kind of design modifications. Furthermore, the proposed method is very efficient and easily to implement in existing finite element programs. (© 2016 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)