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Implementation of an improved bisection algorithm in buckling problems

โœ Scribed by D. J. Evans; J. Shanehchi

Publisher
John Wiley and Sons
Year
1983
Tongue
English
Weight
293 KB
Volume
19
Category
Article
ISSN
0029-5981

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โœฆ Synopsis

An improved bisection strategy is presented to determine the eigenvalues of a real symmetric tridiagonal matrix which occurs in a simple column buckling problem. The new strategy, which involves only a minor modification, utilizes incomplete Sturm sequences only as long as relevant information on the next and following eigenvalues is obtained resulting in a minimization of the computational work. The strategy is particularly effective if only a few eigenvalues are required. The technique can be used for a wider class of eigenvalue problems than the illustrative one presented here.

๐Ÿ“œ SIMILAR VOLUMES

Improved implementation of an algorithm
Improved implementation of an algorithm for non-linear isotropic/kinematic hardening in elastoplasticity
โœ Mahnken, Rolf ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 311 KB ๐Ÿ‘ 2 views

In this article a modiยฎcation of an algorithm by Doghri (1993) for incorporating isotropic and kinematic hardening eects in von Mises elastoplasticity is proposed, whereby the discretized rate equations are reduced to a one-dimensional problem. The resulting relations for linearization of this probl