On a new harmonic selection technique for harmonic balance method
By Aurelien Grolet, Fabrice Thouverez. 2012
77 citations recorded by the source corpus.
Abstract 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 the class of method called the adaptive harmonic balance method (AHBM). The harmonic selection is based on the use of a tangent predictor and relies on a stepwise regression procedure that allows for a dynamic management of the number of selected harmonics via an addition or removal procedure. The efficiency of this method relative to the classical harmonic balance method (HBM) is then evaluated through examples; this later step will indicate that AHBM can significantly reduce the number of variables, thus leading to computational time savings without deteriorating solution quality.
Subfields: Civil and Structural Engineering, Statistics and Probability
View Paper: https://www.semanticscholar.org/paper/34e192f278268c09e264bb2b5f604df01484d19b
How researchers see this paper
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In Civil and Structural Engineering
- Ludovic Renson
- Gaetan Kerschen
- Bruno Cochelin
- T. Detroux
- Luc Masset
- E. Ferhatoglu
- Christophe Vergez
- Sami Karkar
In Statistics and Probability
- E. Ferhatoglu
- Bruno Cochelin
- Christophe Vergez
- Luc Masset
- Sami Karkar
- H. Nevzat Özgüven
- T. Detroux
- Ludovic Renson
Citations in the corpus
- The harmonic balance method for bifurcation analysis of large-scale nonlinear mechanical systems (2015, methodology): “In [24], a new adaptive HB method was proposed for which the number of harmonics for each degree of freedom (DOF) is automatically selected during the continuation process.”
- A new modal superposition method for nonlinear vibration analysis of structures using hybrid mode shapes (2018, methodology): “In order to improve usability, performance and robustness, researchers tried to develop several types of HBM, including incremental HBM [29], multi-dimensional HBM [30], and the adaptive HBM [31].”
- A comparative study of the harmonic balance method and the orthogonal collocation method on stiff nonlinear systems (2014, methodology): “31 Many variations of the basic HBM exist, such as the Alternating Frequency 32 Time-HBM [8], the Multi-HBM [9], the Incremental HBM [10], the Adaptive 33 HBM [11].”
- Bifurcation tracking by Harmonic Balance Method for performance tuning of nonlinear dynamical systems (2017, background): “[10–13] and many improvements have been proposed, such as adaptive schemes that improve the performance by selecting only the harmonics of interest [14, 15] as well as methods to handle systems with many distinct states [16] and strong or non-smooth nonlinearities [17, 18].”