Optimal design of turbines with an attached mass

Boris P. Belinskiy; C. Maeve McCarthy; Terry J. Walters

ESAIM: Control, Optimisation and Calculus of Variations (2003)

  • Volume: 9, page 217-230
  • ISSN: 1292-8119

Abstract

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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.

How to cite

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Belinskiy, Boris P., McCarthy, C. Maeve, and Walters, Terry J.. "Optimal design of turbines with an attached mass." ESAIM: Control, Optimisation and Calculus of Variations 9 (2003): 217-230. <http://eudml.org/doc/245403>.

@article{Belinskiy2003,
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.},
author = {Belinskiy, Boris P., McCarthy, C. Maeve, Walters, Terry J.},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {optimal design; disk; moment of inertia; Sturm–Liouville problem; least eigenvalue; rearrangement; Helly’s principle; calculus of variations; Sturm-Liouville problem; Helly principle},
language = {eng},
pages = {217-230},
publisher = {EDP-Sciences},
title = {Optimal design of turbines with an attached mass},
url = {http://eudml.org/doc/245403},
volume = {9},
year = {2003},
}

TY - JOUR
AU - Belinskiy, Boris P.
AU - McCarthy, C. Maeve
AU - Walters, Terry J.
TI - Optimal design of turbines with an attached mass
JO - ESAIM: Control, Optimisation and Calculus of Variations
PY - 2003
PB - EDP-Sciences
VL - 9
SP - 217
EP - 230
AB - 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.
LA - eng
KW - optimal design; disk; moment of inertia; Sturm–Liouville problem; least eigenvalue; rearrangement; Helly’s principle; calculus of variations; Sturm-Liouville problem; Helly principle
UR - http://eudml.org/doc/245403
ER -

References

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  11. [11] W. Rudin, Principles of Mathematical Analysis, 3rd Ed. McGraw-Hill, New York (1976). Zbl0346.26002MR385023
  12. [12] J.E. Taylor, Minimum mass bar for axial vibrations at specified natural frequency. AIAA J. 5 (1967) 1911-1913. 
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  15. [15] M.J. Turner, Design of minimum mass structures with specified natural frequencies. AIAA J. 5 (1967) 406-412. Zbl0149.23202

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