Summary
If a rotating, massless, elastic shaft carrying a disk is supported at the ends by Cardan links, the motion of the disk depends on the angles at the joints and the torques transmitted by the joints. The system is considered for constant angular velocity and constant torques of the driving shafts. The investigation of this nonstationary system leads to two second order differential equations with periodic coefficients. In order to establish conditions for instability the characteristics exponents are calculated by means of generalized Hills determinants. It is found that there exist critical intervals for the angular velocity.
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Wehrli, C. Dynamisches Verhalten einer einfach besetzten rotierenden Welle mit Kardangelenken. Journal of Applied Mathematics and Physics (ZAMP) 15, 154–166 (1964). https://doi.org/10.1007/BF01602657
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DOI: https://doi.org/10.1007/BF01602657