A new functional optimization method applied to the pitch distribution of a marine propeller |
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Authors: | Taek S Jang Takeshi Kinoshita Hajime Yamaguchi |
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Institution: | (1) Institute of Industrial Science, The University of Tokyo, 4-6-1 Komaba, Meguro-ku, Tokyo 153-8505, Japan, JP;(2) Department of Environmental and Ocean Engineering, Graduate School of Engineering, The University of Tokyo, Tokyo, Japan, JP |
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Abstract: | Based on Hilbert space theory, an infinite-dimensional optimization method to find the optimal pitch distribution of marine
propellers was developed. Thereby, the three-dimensional effect of induced velocity could effectively be controlled in an
optimal way; i.e., an investigation was carried out to learn whether the present method is applicable to the design of marine
propellers, especially pitch distributions, by maximizing the propeller efficiency functional. In addition, with the help
of Hilbert space theory, it was successfully shown that the optimization method developed has a unique mathematical solution.
In this work, only the pitch distribution was optimized, while other parameters such as the camber and thickness of the trial
propeller remained as in the original. With a numerical study, it is shown that the present optimization method gives an optimal
pitch distribution, the open-water characteristic curve being superior to the original curve.
Received: August 24, 2000 / Accepted: July 16, 2001 |
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Keywords: | Infinite-dimensional optimization method Hilbert space theory Unique mathematical solution |
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