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