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Buckling analysis by means of non‐linear programming
Author(s) -
Gisvold Kaare M.,
Moe Johannes
Publication year - 1970
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.1620020305
Subject(s) - buckling , linear programming , mathematics , numerical analysis , mathematical optimization , plane (geometry) , structural engineering , computer science , geometry , mathematical analysis , engineering
This paper demonstrates the applicability of general non‐linear programming methods to the solution of buckling problems. The minimum energy formulation of the buckling condition is shown to yield an unconstrained non‐linear programming problem, for which several numerical methods of solution are readily available. Some of these methods are discussed and numerical results are presented for stiffened plates with in‐plane as well as lateral loads.