Eigenvector-free indicator, pinpointing and branch-switching for bifurcation

✍ Scribed by Noguchi, H. ;Fujii, F.

• Publisher: John Wiley and Sons
• Year: 2003
• Tongue: English
• Weight: 180 KB
• Volume: 19
• Category: Article
• ISSN: 1069-8299
• DOI: 10.1002/cnm.604

✦ Synopsis

Abstract

The authors have already proposed in their previous papers an innovative eigenanalysis‐free idea to extract the buckling mode for bifurcation instability from the LDL^T^‐decomposed stiffness matrix. The present study first outlines this basic idea very briefly for a review purpose. The idea will then be applied to eigenvector‐free procedures for identifying and pinpointing the stability point and branch‐switching for post‐bifurcation analysis. Numerical examples will examine the versatility and robustness of the proposed eigenvector‐free procedures in computational bifurcation theory. It is illustrated that the proposed procedures are robust enough for multiple as well as simple bifurcation. Copyright © 2003 John Wiley & Sons, Ltd.