Nonclassical Stability Problems: Instability of Slender Tubes under Pressure
Publication: Journal of Aerospace Engineering
Volume 14, Issue 1
Abstract
Several nonclassical stability problems dealing with simple cantilever columns of practical engineering importance are comprehensively presented. The salient feature of these rather peculiar problems is that column instability with a tubular cross section filled with a liquid or subjected to gas pressure may occur while its cross section remains axially unstressed. Interesting subcases are also discussed where the static stability criterion of existence of two adjacent equilibria fails to predict the actual critical load. This leads to the erroneous conclusion that the undeformed configuration is the only equilibrium position, being stable irrespective of the level of external loading. Hence, the dynamic stability criterion which is of general validity must be employed for establishing the critical load. It has also been clarified that the hydrostatic pressure load, although nonconstant-directional, cannot be identified as nonconservative.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Bolotin, V. V. ( 1963). Nonconservative problems of the theory of elastic stability, Pergamon, Tarrytown, N.Y.
2.
Feodosyev, V. I. ( 1977). Selected problems and questions in strength of materials, Mir Publishers, Moscow, 56.
3.
Kounadis, A. N. ( 1977). “Stability of elastically restrained Timoshenko cantilevers with attached masses subjected to a follower force.” Trans. ASME, J. Appl. Mech., 44, 731–736.
4.
Kounadis, A. N. ( 1980). “On the static stability analysis of elastically restrained structures under follower forces.” AIAA J., 18, 473–476.
5.
Kounadis, A. N. ( 1998). “Qualitative criteria for dynamic buckling of imperfection-sensitive nonconservative systems.” Int. J. Mech. Sci., 40(10), 949–962.
6.
Paidoussis, M. P. ( 1997). Fluid-structure interactions: Slender bodies and axial flow, Academic, San Diego.
7.
Simitses, G. J. ( 1987). “Instability of dynamically loaded structures.” Appl. Mech. Rev., 40(10), 1403–1407.
8.
Timoshenko, S., and Gere, J. ( 1961). Theory of elastic stability, McGraw-Hill, New York.
9.
Ziegler, H. ( 1952). “Die Stabilitatskriterien der Elastostatik.” Ingenieur-Archiv, 20, 49–56 (in German).
Information & Authors
Information
Published In
History
Received: Jun 9, 2000
Published online: Jan 1, 2001
Published in print: Jan 2001
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.