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Vibrations of an Elliptic Cylinder and a Flat Plate in a Viscous Fluid
Author(s) -
Kanwal R. P.
Publication year - 1955
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.19550350104
Subject(s) - perpendicular , vibration , cylinder , mathieu function , plane (geometry) , physics , vibration of plates , mechanics , geometry , limiting , classical mechanics , mathematical analysis , mathematics , acoustics , engineering , mechanical engineering
The perturbations arising, when an elliptic cylinder is vibrating in an infinite mass of a fluid, are investigated by aid of infinite series of Mathieu functions. Vibrations along the major axis as well as along the minor are computed. Furthermore, the vibrations of a flat plate are discussed as limiting cases of the vibrations of an elliptic cylinder, if the plate is vibrating along an edge or perpendicularly to its plane.