Fast reanalysis of Geometrically Nonlinear Problems After Shape Modifications

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Abstract

Fast Reanalysis for geometrically nonlinear problems using either Newton iterations or Modified Newton iterations starting from a previously obtained solution can be efficient. However, the first iteration within these iteration processes resembles the semi-analytical design sensitivity. The latter expose severe inaccuracies when applied to shape design variables. The present paper demonstrates that the efficiency of the geometrically nonlinear reanalysis schemes is less for shape design variables. In addition, techniques developed for shape design sensitivities are used to improve the efficiency of the geometrically nonlinear reanalysis schemes. The basic idea is to use accurate sensitivities e.g. based on a refined semi-analytical formulation, to improve the first step of the iteration process used in the reanalysis. The standard and modified reanalysis schemes are studied for a thin shell problem.
Original languageUndefined/Unknown
Title of host publicationProceedings 6th World Congress of Structural and Multidisciplinary Optimization
Editors Herskovits, J., Mazorche, S., Canelas, A.
Place of PublicationRio de Janeiro, Brazil
PublisherISSMO
Pages1-11
Number of pages11
ISBN (Print)85-285-0070-5
Publication statusPublished - 2006
Event6th World Congress of Structural Multidisciplinary Optimization - Rio de Janeiro, Brazil
Duration: 30 May 20053 Jun 2005

Publication series

Name
PublisherISSMO

Conference

Conference6th World Congress of Structural Multidisciplinary Optimization
Period30/05/053/06/05

Keywords

  • conference contrib. refereed
  • Conf.proc. > 3 pag

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