Reference : Improved Implementation of the Harmonic Balance Method
Scientific congresses and symposiums : Paper published in a book
Engineering, computing & technology : Aerospace & aeronautics engineering
http://hdl.handle.net/2268/24619
Improved Implementation of the Harmonic Balance Method
English
Vio, Gareth Arthur [University of Manchester > School of Mechanical Aerospace and Civil Engineering > > >]
Dimitriadis, Grigorios mailto [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 > > >]
Apr-2007
Proceedings of the 48th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference
AIAA
Paper AIAA-2007-2359
No
No
International
USA
48th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference
du 23 avril au 26 avril 2007
AIAA, ASME, ASCE, AHS, ASC
Honolulu, Hawaii
USA
[en] Nonlinear Aeroelasticty ; Harmonic Balance ; Limit Cycle Oscillations
[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.
Researchers ; Professionals
http://hdl.handle.net/2268/24619
http://pdf.aiaa.org/preview/CDReadyMSDM07_1473/PV2007_2359.pdf

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