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Optimal design of turbines with an attached mass

Published online by Cambridge University Press:  15 September 2003

Boris P. Belinskiy ,
C. Maeve McCarthy  and
Terry J. Walters
Boris P. Belinskiy
Affiliation:
Department of Mathematics, University of Tennessee at Chattanooga, 615 McCallie Avenue, Chattanooga, TN 37403-2598, USA.
C. Maeve McCarthy
Affiliation:
Department of Mathematics & Statistics, Murray State University, Faculty Hall 6C, Murray, KY 42071-3341, USA; [email protected].
Terry J. Walters
Affiliation:
Department of Mathematics, University of Tennessee at Chattanooga, 615 McCallie Avenue, Chattanooga, TN 37403-2598, USA.
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Abstract

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.

Keywords

Optimal designdiskmoment of inertiaSturm–Liouville problemleast eigenvaluerearrangementHelly's principleCalculus of Variations.
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 9 , January 2003 , pp. 217 - 230
Copyright
© EDP Sciences, SMAI, 2003

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