Summary
The century-old Greenhill problem of buckling of a flexible shaft, supported at its ends and loaded by external torques, is reconsidered in the case where the loads are transmitted by Cardan joints. It is found that the critical torque is roughly half the Greenhill value and that it depends discontinuously on the relative position of the Cardan joints in the undeformed and unloaded shaft.
Übersicht
Das ein Jahrhundert alte Greenhillsche Problem, der Knickung einer auf Drillung beanspruchten Welle wird erneut betrachtet für den Fall, daß das Torsionsmoment von Kardangelenken an den Enden übertragen wird. Das kritische Drillungsmoment ist ganz grob die Hälfte des Greenhillschen Werts und es hängt diskontinuierlich ab von der relativen Lage der Kardangelenke in der unbelasteten Welle.
Similar content being viewed by others
References
Bolotin, V. V.: Nonconservative problems of the theory of elastic stability. Oxford, London, New York, Paris 1963
Ziegler, H.: Principles of structural stability. Waltham (Mass.), Toronto, London 1968
Author information
Authors and Affiliations
Additional information
Dedicated to Professor Dr. Hans Ziegler on the occasion of his 70-th birthday
Rights and permissions
About this article
Cite this article
Koiter, W.T. Buckling of a flexible shaft under torque loads transmitted by Cardan joints. Ing. arch 49, 369–373 (1980). https://doi.org/10.1007/BF02426915
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02426915