Volume 9, February 2003
|Page(s)||217 - 230|
|Published online||15 September 2003|
Optimal design of turbines with an attached mass
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; firstname.lastname@example.org.
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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.