Optimal design of turbines with an attached mass

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

ESAIM: Control, Optimisation and Calculus of Variations (2010)

  • 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., Maeve McCarthy, C., and Walters, Terry J.. "Optimal design of turbines with an attached mass." ESAIM: Control, Optimisation and Calculus of Variations 9 (2010): 217-230. <http://eudml.org/doc/90693>.

@article{Belinskiy2010,
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., Maeve McCarthy, C., 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.; optimal design; Sturm-Liouville problem; rearrangement; Helly principle},
language = {eng},
month = {3},
pages = {217-230},
publisher = {EDP Sciences},
title = {Optimal design of turbines with an attached mass},
url = {http://eudml.org/doc/90693},
volume = {9},
year = {2010},
}

TY - JOUR
AU - Belinskiy, Boris P.
AU - Maeve McCarthy, C.
AU - Walters, Terry J.
TI - Optimal design of turbines with an attached mass
JO - ESAIM: Control, Optimisation and Calculus of Variations
DA - 2010/3//
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.; optimal design; Sturm-Liouville problem; rearrangement; Helly principle
UR - http://eudml.org/doc/90693
ER -

References

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  10. D. Porter and D. Stirling, Integral Equations. Cambridge University Press, Cambridge, UK (1990).  Zbl0714.45001
  11. W. Rudin, Principles of Mathematical Analysis, 3rd Ed. McGraw-Hill, New York (1976).  Zbl0346.26002
  12. J.E. Taylor, Minimum mass bar for axial vibrations at specified natural frequency. AIAA J.5 (1967) 1911-1913.  
  13. J.E. Taylor, The strongest column: The energy approach. J. Appl. Mech.34 (1967) 486-487.  
  14. J.E. Taylor and C.Y. Liu, On the optimal design of columns. AIAA J.6 (1968) 1497-1502.  Zbl0169.56001
  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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