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A finite difference perturbation procedure for non‐linear elastic stability problems
Author(s) -
Naschie M. S. El,
Galaly I.,
Athel S.
Publication year - 1978
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.1620120811
Subject(s) - eigenvalues and eigenvectors , perturbation (astronomy) , finite difference , mathematics , finite difference method , stability (learning theory) , finite difference scheme , mathematical analysis , linear elasticity , linear stability , finite element method , computer science , physics , mechanics , engineering , structural engineering , instability , quantum mechanics , machine learning
A finite difference perturbation scheme is developed which allows a simple solution to a wide class of non‐linear difurcation problems. The analysis shows that in order to determine the inital post bucking behaviour accurately, it is not necessary to solve more than the linear eigenvalue difference equation with similar accuracy.