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The Compressible Harmonic Balance Method for Turbomachinery
2018 AIAA Aerospace Sciences Meeting, 2018Recent developments in the Harmonic Balance method for compressible turbomachinery simulations are presented in this paper. The Harmonic Balance method is based on the Fourier series decomposition for the solution variable. By doing this, the transformation from a single transient problem to a small number of coupled steady state snapshots is achieved.
Cvijetić, Gregor, Jasak, Hrvoje
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Improved Implementation of the Harmonic Balance Method
48th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, 2007Harmonic 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,
Vio, Gareth Arthur +2 more
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Solution of the relativistic (an)harmonic oscillator using the harmonic balance method
Journal of Sound and Vibration, 2008This work was supported by the "Ministerio de Educacion y Ciencia", Spain, under Project FIS2005-05881-C02-02, and by the "Generalitat Valenciana", Spain, under Project ACOMP-2007-020.
A. Beléndez +3 more
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Harmonic Balance Finite Element Method
2016The art of HBFEM is to use Computational Electromagnetics (CEMs) with harmonic balance theories, and CEM technologies (with IEEE Standard I597.1 and IEEE Standard 1597.2) to analyze or investigate nonlinear EM field and harmonic problems in electrical and electronic engineering and electrical power systems.
Lu, Junwei +2 more
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Reduction of harmonic balance equations through Galerkin's method
2015 European Conference on Circuit Theory and Design (ECCTD), 2015Harmonic balance suffers of the main drawback of requiring prohibitive numerical resources when the simulated circuit leads to waveforms with very sharp variations, since a large number of harmonics has to be used. The main reason is due to the fact that the numerical effort increases as a polynomial function of the number of harmonics.
BIZZARRI, FEDERICO +2 more
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Harmonic Balance Based on Two-Step Galerkin Method
IEEE Transactions on Circuits and Systems I: Regular Papers, 2016A family of algorithms based on a two-step Galerkin's method for approximating the solution of steady state problems formulated in the frequency domain are presented. Such methods work by reducing the number of unknowns of the conventional harmonic balance ( hb ) method.
BIZZARRI, FEDERICO +2 more
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Adaptive Harmonic Balance Methods, A Comparison
2016Harmonic balance method (HBM) is one of the most popular and powerful methods, which is used to obtain response of nonlinear vibratory systems in frequency domain. The main idea of the method is to express the response of the system in Fourier series and converting the nonlinear differential equations of motion into a set of nonlinear algebraic ...
Onur Sert, Ender Ciğeroğlu
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Analysis of Oscillator Injection Locking by Harmonic Balance Method
2008 Design, Automation and Test in Europe, 2008A new approach to analyze injection locking mode of oscillators under small external excitation is proposed. The proposed approach exploits existence conditions of the solution of HB linear system with degenerate matrix. The method allows one to obtain the locking range for an arbitrary oscillator circuit with an arbitrary periodic injection waveform ...
M. M. Gourary +5 more
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Harmonic Balance method for turbomachinery applications
2016The Harmonic Balance method for periodic flows is presented in this work. The Harmonic Balance method deploys Fourier series expansion based on the assumption that variables are periodic and can be accurately represented by a mean value and first n harmonics.
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The Harmonic Balance Method in OpenFOAM
2017The Harmonic Balance method for incompressible, turbulent periodic flows is presented in this paper. Using the Fourier series as a decomposition method for primitive variables, the transformation from a single transient problem to a number of coupled steady state snapshots is achieved.
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