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Improved iteration strategy for nonlinear structures
Author(s) -
Powell Graham,
Simons Jeffrey
Publication year - 1981
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.1620171003
Subject(s) - extension (predicate logic) , simple (philosophy) , nonlinear system , computer science , mathematical optimization , development (topology) , type (biology) , algorithm , mathematics , mathematical analysis , programming language , ecology , philosophy , physics , epistemology , quantum mechanics , biology
Abstract A solution strategy for the analysis of nonlinear structures is described. The strategy is a simple extension of existing Newton‐type procedures, and can easily be incorporated into existing computer programs. Earlier work which contributed to the development of the strategy is reviewed and the theory of the procedure is presented. Six examples, covering several different types of structural behaviour are described. These examples suggest that the strategy is remarkably stable and efficient.