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The Post‐Buckling Behaviour of Structures under Combined Loading
Author(s) -
Huseyin K.
Publication year - 1971
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19710510303
Subject(s) - buckling , analogy , neighbourhood (mathematics) , structural stability , mathematics , structural engineering , critical load , mathematical analysis , engineering , philosophy , linguistics
The general elastic post‐buckling characteristics of a discrete conservative structural system with independent loading parameters are studied, attention being restricted to the immediate neighbourhood of a ‘special critical’ point. The analogy between the Poincaré's branching condition and a ‘asymmetric special’ critical point is demonstrated. A theorem concerning the stability distribution on the fundamental and post‐buckling equilibrium surfaces is proved.