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Pitching Response of an Anchored Viscous Liquid Bridge to Bottom and/or Top Disc Excitation
Author(s) -
Bauer H. F.,
Eidel W.
Publication year - 1996
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19960760302
Subject(s) - excitation , excited state , dimensionless quantity , excitation function , physics , mechanics , atomic physics , bridge (graph theory) , materials science , quantum mechanics , medicine
The response of an anchored viscous liquid bridge to different pitching top and/or bottom excitation has been determined. The pressure, the velocity distribution and free surface displacement are obtained for synchronous, counter‐excited and one‐sided pitching excitation as a function of the dimensionless forcing frequency Ωa 2 /v. The contactlines at the rim of the upper and lower discs are considered to be anchored there. 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 resonances appear.