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A scheme for tracing the equilibrium path in perturbation methods

✍ Scribed by S. Lopez

Book ID
104267825
Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
711 KB
Volume
154
Category
Article
ISSN
0045-7825

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✦ Synopsis

A limitation on the use of perturbation methods for determining the equilibrium paths in nonlinear problems is the small size of the domain of convergence of the asymptotic expansion. In this paper a scheme for enlarging the radius of convergence of the expansion is presented. The scheme is based on a minimization process of the residual norm with respect to the forcing parameter together with a new polynomial interpolation of that same parameter. This has a regularizing effect also for equilibrium points far from the initial point where the solution is known. Some tests were carried out to evaluate the performance of the method.

πŸ“œ SIMILAR VOLUMES

A self-adaptive strategy for uniformly a
A self-adaptive strategy for uniformly accurate tracing of the equilibrium paths of elastic reticulated structures
✍ Salvatore LigarΓ²; Paolo Valvo πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 262 KB

The paper describes an incremental procedure for tracing with uniform accuracy the equilibrium paths of elastic reticulated structures subject to conservative proportional loads. Like most traditional arc-length methods, the length of the secant vector is chosen as the increment of the representatio