Premium
On the Stability of an Elastic Imperfect Column Including Axial Compressibility
Author(s) -
Guran A.
Publication year - 1992
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.19920721003
Subject(s) - buckling , compressibility , imperfect , bifurcation , buckle , nonlinear system , column (typography) , finite element method , stability (learning theory) , materials science , hysteresis , structural engineering , mechanics , compression (physics) , physics , engineering , composite material , computer science , condensed matter physics , connection (principal bundle) , linguistics , philosophy , quantum mechanics , machine learning
The nonlinear stability of a compressible elastic imperfect column under uniaxial compression is studied. It is shown that in addition to a stable symmetric bifurcation diagram, hysteresis, and a trifurcation may occur. Using a nonlinear finite element technique, numerical examples illustrating the imperfection sensitivity of an elastic compressible column in various ranges of slenderness ration are given. The present paper sheds new light on the question of the possibility of snap‐through buckling of a compressible column.