Buckling of a flexible shaft under torque loads transmitted by Cardan joints

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.

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übersicht Das ein Jahrhundert alte Greenhillsche Problem, der Knickung einer auf Drillung beanspruchten Welle wird erneut betrachtet für den Fall, da? das Torsionsmoment von Kardangelenken an den Enden übertragen wird. Das kritische Drillungsmoment ist ganz grob die H?lfte des Greenhillschen Werts und es h?ngt diskontinuierlich ab von der relativen Lage der Kardangelenke in der unbelasteten Welle.

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Dedicated to Professor Dr. Hans Ziegler on the occasion of his 70-th birthday