Optimal design of turbines with an attached mass
ESAIM: Control, Optimisation and Calculus of Variations, Tome 9 (2003), pp. 217-230.

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.

DOI : 10.1051/cocv:2003011
Classification : 49K15, 49K30, 34B24, 49R05, 73K10, 73K40
Mots clés : optimal design, disk, moment of inertia, Sturm-Liouville problem, least eigenvalue, rearrangement, Helly's principle, calculus of variations 
@article{COCV_2003__9__217_0,
     author = {Belinskiy, Boris P. and McCarthy, C. Maeve and Walters, Terry J.},
     title = {Optimal design of turbines with an attached mass},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {217--230},
     publisher = {EDP-Sciences},
     volume = {9},
     year = {2003},
     doi = {10.1051/cocv:2003011},
     mrnumber = {1957100},
     zbl = {1066.49025},
     language = {en},
     url = {http://www.numdam.org/articles/10.1051/cocv:2003011/}
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Belinskiy, Boris P.; McCarthy, C. Maeve; Walters, Terry J. Optimal design of turbines with an attached mass. ESAIM: Control, Optimisation and Calculus of Variations, Tome 9 (2003), pp. 217-230. doi : 10.1051/cocv:2003011. http://www.numdam.org/articles/10.1051/cocv:2003011/

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