The harmonic balance method for bifurcation analysis of large-scale nonlinear mechanical systems

T Detroux, L Renson, L Masset, G Kerschen - Computer Methods in …, 2015 - Elsevier
The harmonic balance (HB) method is widely used in the literature for analyzing the periodic
solutions of nonlinear mechanical systems. The objective of this paper is to exploit the …

Review of numerical simulations on aircraft dynamic stability derivatives

B Mi, H Zhan - Archives of Computational Methods in Engineering, 2020 - Springer
The dynamic stability derivatives of flight vehicle are directly related to unsteady
aerodynamics during maneuverability, and are considered as key parameters to both the …

Harmonic balance methods applied to computational fluid dynamics problems

KC Hall, K Ekici, JP Thomas… - International Journal of …, 2013 - Taylor & Francis
In this paper, we briefly review the classical harmonic balance method, and describe the
adaptation of the method required for its application to computational fluid dynamics models …

On a new harmonic selection technique for harmonic balance method

A Grolet, F Thouverez - Mechanical Systems and Signal Processing, 2012 - Elsevier
This paper is intended to present a new harmonic selection technique when solving
nonlinear dynamic systems with the harmonic balance method. This technique belongs to …

A time-domain harmonic balance method for rotor/stator interactions

F Sicot, G Dufour, N Gourdain - 2012 - asmedigitalcollection.asme.org
In the absence of instabilities, the large deterministic scales of turbomachinery flows
resulting from the periodic rotation of blades can be considered periodic in time. Such flows …

[HTML][HTML] Adjoint-based fluid dynamic design optimization in quasi-periodic unsteady flow problems using a harmonic balance method

A Rubino, M Pini, P Colonna, T Albring… - Journal of …, 2018 - Elsevier
Shape optimization in unsteady flow problems enables the consideration of dynamic effects
on design. The ability to treat unsteady effects is attractive, as it can provide performance …

Numerical calculation of energy and exergy flows of a turboshaft engine for power generation and helicopter applications

Ö Turan, H Aydın - Energy, 2016 - Elsevier
Fuel efficiency of aircraft and helicopter becomes greater concern in recent years caused by
rising fuel costs and as well as environmental impact of aviation emissions. Modern …

[PDF][PDF] A simple collocation scheme for obtaining the periodic solutions of the duffing equation, and its equivalence to the high dimensional harmonic balance method …

HH Dai, M Schnoor, SN Atluri - Computer Modeling in …, 2012 - cdn.techscience.cn
In this study, the harmonic and 1/3 subharmonic oscillations of a single degree of freedom
Duffing oscillator with large nonlinearity and large damping are investigated by using a …

Harmonic balance analysis of limit cycle oscillations in turbomachinery

K Ekici, KC Hall - AIAA journal, 2011 - arc.aiaa.org
ACCURATE and efficient prediction of limit cycle oscillations (LCOs) of turbomachinery
blades continues to be a challenging problem because of the complex physical phenomena …

A discrete adjoint harmonic balance method for turbomachinery shape optimization

H Huang, K Ekici - Aerospace Science and Technology, 2014 - Elsevier
The harmonic balance method has seen an increasing popularity in the solution of time-
periodic problems because of its computational efficiency and its ability to model …