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Improved Implementation of the Harmonic Balance Method
Vio, Gareth Arthur; Dimitriadis, Grigorios; Cooper, Jonathan Edward
2007In Proceedings of the 48th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference
 

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Keywords :
Nonlinear Aeroelasticty; Harmonic Balance; Limit Cycle Oscillations
Abstract :
[en] Harmonic Balance (HB) methods have been applied to non-linear aeroelastic problems since the 1980s. As the computational power available to researchers has increased, so has the order of calculated HB solutions. However, the computational cost of a HB solution increases with the square of the order. Additionally, the traditional Newton-Raphson, Broyden, Toeplitz Jacobian and other techniques used for the solution of the non-linear algebraic problem at the heart of the HB methodology rely on a good initial guess for the unknown coefficients. If there are many such coefficients the probability that a good guess will be available is very low and the HB scheme may well fail. In this paper a search procedure using Genetic Algorithms (GA) is introduced to evaluate the coefficients of a harmonic balance solution. It is shown that the GA can provide high quality initial guesses for the HB coefficients. The method is applied to an aeroelastic galloping-type problem.
Disciplines :
Aerospace & aeronautics engineering
Author, co-author :
Vio, Gareth Arthur;  University of Manchester > School of Mechanical Aerospace and Civil Engineering
Dimitriadis, Grigorios ;  Université de Liège - ULiège > Département d'aérospatiale et mécanique > Interactions Fluide-Structure - Aérodynamique expérimentale
Cooper, Jonathan Edward;  University of Manchester > School of Mechanical Aerospace and Civil Engineering
Language :
English
Title :
Improved Implementation of the Harmonic Balance Method
Publication date :
April 2007
Event name :
48th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference
Event organizer :
AIAA, ASME, ASCE, AHS, ASC
Event place :
Honolulu, Hawaii, United States
Event date :
du 23 avril au 26 avril 2007
Audience :
International
Main work title :
Proceedings of the 48th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference
Publisher :
AIAA, United States
Pages :
Paper AIAA-2007-2359
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