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On the existence of optimum large amplitude hydrofoil propulsion
Author(s) -
Urbach H. P.,
van de Vooren A. I.
Publication year - 1985
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670070109
Subject(s) - amplitude , mathematics , thrust , path (computing) , wing , propulsion , curvature , control theory (sociology) , mathematical analysis , classical mechanics , geometry , aerospace engineering , physics , engineering , computer science , quantum mechanics , control (management) , artificial intelligence , programming language
The possibility of optimum thrust‐production by means of periodic motions of a flexible wing is discussed. The disturbance velocities are assumed to be small so that a linearized theory is valid. It is proved that when adequate constraints are put upon the amplitude of the path of the wing and on the amplitude of its slopes and curvature, an optimum path exists.