Optimal design of turbines with an attached mass

被引：5

作者：

Belinskiy, BP

McCarthy, CM

Walters, TJ

机构：

[1] Univ Tennessee, Dept Math, Chattanooga, TN 37403 USA

[2] Murray State Univ, Dept Math & Stat, Murray, KY 42071 USA

来源：

ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS | 2003年 / 9卷

关键词：

optimal design; disk; moment of inertia; Sturm-Liouville problem; least eigenvalue; rearrangement; Helly's principle; Calculus of Variations;

D O I：

10.1051/cocv:2003011

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

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.

引用

页码：217 / 230

页数：14

共 15 条

[1]

Andrews L. C., 1986, ELEMENTARY PARTIAL D

[2]

COLLATZ L, 1963, EIGENWERTAUFGABEN MI, P41

[3] The shape of the tallest column [J].