Premium
A non‐linear numerical method for accurate determination of limit and bifurcation points
Author(s) -
Chan Siu Lai
Publication year - 1993
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620361607
Subject(s) - iterated function , bifurcation , tangent , mathematics , limit (mathematics) , limit point , tangent stiffness matrix , finite element method , bifurcation theory , numerical analysis , stiffness matrix , matrix (chemical analysis) , mathematical analysis , nonlinear system , geometry , structural engineering , physics , engineering , quantum mechanics , materials science , composite material
This paper presents a numerical procedure for accurate determination of a limit or a bifurcation point. The method minimizes simultaneously the first and the second variations of an admissible functional or iterates to satisfy the equilibrium and the semi definite condition for the tangent stiffness matrix. It can be readily incorporated into a computer program for non‐linear finite element analysis to improve its accuracy in the location of critical points.