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The GDC method as an orthogonal arc-length method

✍ Scribed by Cardoso, E. L. ;Fonseca, J. S. O.

Book ID
102114562
Publisher
John Wiley and Sons
Year
2006
Tongue
English
Weight
129 KB
Volume
23
Category
Article
ISSN
1069-8299

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✦ Synopsis

Abstract

The method of generalized displacements (GDC) is a path‐following algorithm for non‐linear mechanics, capable to overcome both limit and snap‐back points. It was proposed as a consistent alternative to most existing techniques, such as the arc‐length family of algorithms. Although it is a reliable algorithm, it has not been as widely used as the arc‐length methods, possibly because it has been seen as belonging to a different category. This paper shows that the GDC method can be seen as an orthogonal arc‐length method, with an interesting constraint equation which leads to its appealing features. Copyright Β© 2006 John Wiley & Sons, Ltd.

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