Branch switching from coincident bifurcation points

Citation
S. Pajunen et M. Tuomala, Branch switching from coincident bifurcation points, MECH STRUCT, 28(4), 2000, pp. 339-353
Citations number
23
Categorie Soggetti
Mechanical Engineering
Journal title
MECHANICS OF STRUCTURES AND MACHINES
ISSN journal
08905452 → ACNP
Volume
28
Issue
4
Year of publication
2000
Pages
339 - 353
Database
ISI
SICI code
0890-5452(2000)28:4<339:BSFCBP>2.0.ZU;2-J
Abstract
The definition of the solution set of a general non-linear structural probl em depending on one external parameter is considered. Path-following techni ques and singular point locating and identifying methods are reviewed, foll owed by so-called branch-switching methods used to detect secondary equilib rium paths associated with m-fold bifurcation points. Two methods introduce d by Keller [1] and Kearfott [2] are considered, and their performance when used together with the non-linear finite element method is verified.