The harmonic balance (HB) method is one of the most commonly used methods for solving periodic solutions of both weakly and strongly nonlinear dynamical systems. However, it is …
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 …
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 …
D Qian, Z Hongmei - 力学进展, 2013 - lxjz.cstam.org.cn
Friction has a significant effect, even dominant one in some cases, on the dynamic behavior of mechanical systems. Thorough investigation on friction dynamics is very important to …
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 …
H Li, K Ekici - Journal of Fluids and Structures, 2018 - Elsevier
In this work, the one-shot method previously developed for the solution of limit cycle oscillation problems is extended to predict flutter boundaries of aeroelastic systems. In …
This work proposes a novel approach to compute transonic limit-cycle oscillations using high-fidelity analysis. Computational-Fluid-Dynamics based harmonic balance methods …
Flutter and limit cycle oscillation (LCO) are important phenomena that need to be considered in aircraft design. Previous harmonic-balance-based flutter and LCO prediction methods …
H Dai, Z Yan, X Wang, X Yue… - International Journal for …, 2023 - Wiley Online Library
Periodic dynamical systems ubiquitously exist in science and engineering. The harmonic balance (HB) method and its variants have been the most widely‐used approaches for such …