Abstract
The response of an anchored spinning frictionless liquid bridge to different pitching top and/or bottom excitation has been determined. The free surface displacement is obtained for synchronous, counter-excited and one-sided pitching excitation as a function of the dimensionless forcing frequency\(\bar \Omega = \Omega /\sqrt {\sigma /(\varrho \alpha ^3 )}\). The contactlines at the rim of the upper and lower discs are considered to be anchored. In synchronous pitching excitation only the even resonances show response peaks, while in a counter-excited system only odd resonances appear, which is in contrast to axial excitation modes. For one-sided excitation, all reasonances appear. Because of the different natural frequencies in direction of spin and opposite to it double peaks are present in the responses.
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Bauer, H.F., Eidel, W. Anchored edge pitching response of a spinning frictionless liquid column due to bottom and/or top excitation. Forsch Ing-Wes 61, 259–270 (1995). https://doi.org/10.1007/BF02607972
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DOI: https://doi.org/10.1007/BF02607972