Shape optimization for noise radiation problems

被引：14
|
作者：
Cao, YZ [1 ]
Stanescu, D
机构：
[1] Florida A&M Univ, Dept Math, Tallahassee, FL 32307 USA
[2] Florida State Univ, Dirac Sci Lib, Sch Computat Sci & Informat Technol, Tallahassee, FL 32306 USA
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2002年 / 44卷 / 12期
关键词：
optimal control; shape control; Helmholtz equation;
D O I：
10.1016/S0898-1221(02)00276-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A shape design model that reduces the amount of noise radiated from aircraft turbofan engines is studied in this paper. The model is formulated as shape control of the Helmholtz equation with radiation boundary conditions on part of the boundary and incoming waves specified as the source. Existence of optimal shape is proved to show that the model is appropriately established. A numerical experiment is conducted to demonstrate the efficiency of the model. (C) 2002 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码：1527 / 1537
页数：11
相关论文
共 50 条
  • [1] MULTIPHASE SHAPE OPTIMIZATION PROBLEMS
    Bucur, Dorin
    Velichkov, Bozhidar
    SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2014, 52 (06) : 3556 - 3591
  • [2] A glimpse of shape optimization problems
    Chorwadwala, Anisa M. H.
    CURRENT SCIENCE, 2017, 112 (07): : 1474 - 1477
  • [3] Approximation in shape optimization problems
    Tiba, Dan
    ALEXANDRU MYLLER MATHEMATICAL SEMINAR, 2011, 1329 : 236 - 245
  • [4] On some rescaled shape optimization problems
    Buttazzo, G.
    Wagner, A.
    ADVANCES IN CALCULUS OF VARIATIONS, 2010, 3 (02) : 213 - 232
  • [5] Variational Methods in Shape Optimization Problems
    Timofte, Claudia
    REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES, 2007, 52 (05): : 596 - 597
  • [6] SHAPE OPTIMIZATION IN CONTACT PROBLEMS WITH FRICTION
    HASLINGER, J
    HORAK, V
    NEITTAANMAKI, P
    NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 1985, 8 (5-6) : 557 - 587
  • [7] SHAPE OPTIMIZATION PROBLEMS FOR METRIC GRAPHS
    Buttazzo, Giuseppe
    Ruffini, Berardo
    Velichkov, Bozhidar
    ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2014, 20 (01) : 1 - 22
  • [8] SHAPE OPTIMIZATION IN FRICTIONLESS CONTACT PROBLEMS
    FANCELLO, EA
    FEIJOO, RA
    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1994, 37 (13) : 2311 - 2335
  • [9] Shape flows for spectral optimization problems
    Bucur, Dorin
    Buttazzo, Giuseppe
    Stefanelli, Ulisse
    INTERFACES AND FREE BOUNDARIES, 2012, 14 (04) : 521 - 544
  • [10] Shape optimization of thermoviscoelastic contact problems
    Myslinski, A
    CONTROL AND CYBERNETICS, 2003, 32 (03): : 611 - 627
12345