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Stability of elastic rods via Liapunov’s second method. (English) Zbl 0295.73041

MSC:
74G60 Bifurcation and buckling
74K10 Rods (beams, columns, shafts, arches, rings, etc.)
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[1] Leipholz, H.: Application of Liapunov’s Direct Method to the Stability Problem of Rods Subject to Follower Forces. In ?Instability of Continuous Systems?, Proceedings of the IUTAM Symposium Herrenalb, 1969, Berlin, Heidelberg, New York, 1971, pp. 1-10
[2] Leipholz, H.: Stability Theory. New York and London, 1970, p. 181 · Zbl 0291.73030
[3] Knops, R. J., and Wilkes, E. W.: On Movchan’s Theorems for Stability of Continuous Systems. Int. J. Engineering Sci. 4 (1966) pp. 303-329 · Zbl 0151.39104
[4] Crandall, St. H.: Engineering Analysis. New York, Toronto, London, 1956 · Zbl 0071.11701
[5] Ziegler, H.: Trace Effects in Stability. In ?Instability of Continuous Systems?, Proceedings of the IUTAM Symposium, Herrenalb, 1969, Berlin, Heidelberg, New York, 1971, pp. 98, 111
[6] Bolotin, V. V.: Nonconservative Problems of the Theory of Elastic Stability. Oxford, London, New York, Paris, 1963, pp. 79-85 · Zbl 0121.41305
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