Keywords
- Catastrophe Theory
- Cusp Point
- Splitting Factor
- Cusp Catastrophe
- Imperfection Sensitivity
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
D. Chillingworth, The catastrophe of a bucking beam, Dynamical Systems—Warwick 1974, Springer Lecture Notes in Maths., 468, 86–91.
C.T.J. Dodson & M.M. Dodson, Simple non-linear systems and the cusp catastrophe, Lancaster & York Universities preprint, 1975.
L. Euler, Methodus inveniendi lineas curvas maximi minimive prorietate gaudentes (Appendix, De curvis elasticis), Marcum Michaelum Bousquet, Lausanne & Geneva, 1744.
M.J. Sewell, Some mechanical examples of catastrophe theory, Bull. Inst. Math. and Appl. (to appear).
J. Roorda, Stability of structures with small imperfections, J. Engng. Mech. Div. Am. Soc. civ. Engrs. 91, (1965) 87–106.
J.M.T. Thompson & G.W. Hunt, A general theory of elastic stability, Wiley, London, 1973.
J.M.T. Thompson & G.W. Hunt, Towards a unified bifurcation theory, J. Appl. Math. & Physics 26 (1975).
J.M.T. Thompson, Experiments in catastrophe, Nature, 254, 5499 (1975) 392–395.
D.J.A. Trotman & E.C. Zeeman, Classification of elementary catastrophes of codimension ≤5, this volume.
E.C. Zeeman, A catastrophe machine, Towards a theoretical biology, 4 (Ed. C.H. Waddington), Edinburgh Univ. Press (1972), 276–282.
W.T. Koiter, On the stability of elastic equilibrium, Dissertation, Delft, Holland, 1945.
M.J. Sewell, The static perturbation technique in buckling problems, J. Mech. Phys, Solids, 13, 247 (1965).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1976 Springer-Verlag
About this paper
Cite this paper
Zeeman, E.C. (1976). Euler buckling. In: Hilton, P. (eds) Structural Stability, the Theory of Catastrophes, and Applications in the Sciences. Lecture Notes in Mathematics, vol 525. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0077856
Download citation
DOI: https://doi.org/10.1007/BFb0077856
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-07791-6
Online ISBN: 978-3-540-38254-6
eBook Packages: Springer Book Archive
