| Issue |
ESAIM: COCV
Volume 9, February 2003
|
|
|---|---|---|
| Page(s) | 217 - 230 | |
| DOI | https://doi.org/10.1051/cocv:2003011 | |
| Published online | 15 September 2003 | |
Optimal design of turbines with an attached mass
1
Department of Mathematics, University of Tennessee at
Chattanooga, 615 McCallie Avenue, Chattanooga, TN 37403-2598, USA.
2
Department of Mathematics & Statistics, Murray State
University, Faculty Hall 6C, Murray, KY 42071-3341, USA; maeve.mccarthy@murraystate.edu.
Received:
30
August
2002
Revised:
17
December
2002
We minimize, with respect to shape, the moment of inertia of a turbine having the given lowest eigenfrequency of the torsional oscillations. The necessary conditions of optimality in conjunction with certain physical parameters admit a unique optimal design.
Mathematics Subject Classification: 49K15 / 49K30 / 34B24 / 49R05 / 73K10 / 73K40
Key words: Optimal design / disk / moment of inertia / Sturm–Liouville problem / least eigenvalue / rearrangement / Helly's principle / Calculus of Variations.
© EDP Sciences, SMAI, 2003
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