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Improved iteration strategy for nonlinear structures

✍ Scribed by Graham Powell; Jeffrey Simons

Publisher
John Wiley and Sons
Year
1981
Tongue
English
Weight
836 KB
Volume
17
Category
Article
ISSN
0029-5981

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✦ Synopsis

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.

πŸ“œ SIMILAR VOLUMES

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On an improvement of a nonlinear iterative scheme for nonlinear wave profile prediction
✍ T.S. Jang; S.H. Kwon; B.J. Kim πŸ“‚ Article πŸ“… 2006 πŸ› Elsevier Science 🌐 English βš– 591 KB

The authors of the present paper present an iterative scheme to calculate the nonlinear wave profiles [Jang, T.S., Kwon, S.H., 2005. Application of nonlinear iteration scheme to the nonlinear water wave problem: Stokian wave. Ocean Engineering, in press]. The nonlinear operator was constructed from

AN IMPROVED SUBSPACE ITERATION METHOD WI
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✍ H.J. JUNG; I.W. LEE πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 233 KB

An e$cient and numerically stable eigensolution method for structures with multiple natural frequencies is presented. The proposed method is developed by improving the well-known subspace iteration method with shift. A major di$culty of the subspace iteration method with shift is that because of sin