A comprehensive catastrophe theory for non-linear buckling of simple systems exhibiting fold and cusp catastrophes

International Journal for Numerical Methods in Engineering

Volumn 54, Issue 2, 2002, Pages 175-193

  Lignos, X A ^a   Parke, G A R ^a   Harding, J E ^a   Kounadis, A N ^a,b  

^a UNIVERSITY OF SURREY   (United Kingdom)

^b NATIONAL TECHNICAL UNIVERSITY OF ATHENS   (Greece)

Author keywords

Discrete systems; Fold and cusp catastrophes; Non linear buckling

Indexed keywords

BUCKLING; POTENTIAL ENERGY; STABILITY;

CATASTROPHE THEORY;

NUMERICAL METHODS;

BUCKLING; MATHEMATICAL METHOD;

EID: 0037140893     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/nme.416     Document Type: Article

References (16)

1. A theory for imperfect bifurcations via singularity theory
2. Dynamic buckling of autonomous systems having potential energy universal unfoldings of cuspoid catastrophe
3. Nonlinear stability analysis of an eccentrically loaded two-bar frame
4. An efficient simplified approach for the non-linear buckling analysis of frames
5. Some two-mode buckling problems and their relation to catastrophe theory