Complex nonlinear dynamics and vibration suppression of conceptual airfoil models: A state-of-the-art overview

Q Liu, Y Xu, J Kurths, X Liu - Chaos: An Interdisciplinary Journal of …, 2022 - pubs.aip.org
During the past few decades, several significant progresses have been made in exploring
complex nonlinear dynamics and vibration suppression of conceptual aeroelastic airfoil …

Fusing deep learning features for parameter identification of a stochastic airfoil system

J Feng, X Wang, Q Liu, Y Xu, J Kurths - Nonlinear Dynamics, 2024 - Springer
This work proposes a data-driven parameter identification approach for a two-degree-of-
freedom airfoil system with cubic nonlinearity and stochasticity, where the random turbulent …

Using novel nonlinear subspace identification to identify airfoil-store system with nonlinearity

R Zhu, D Jiang, X Hang, D Zhang, Q Fei - Aerospace Science and …, 2023 - Elsevier
The nonlinear behavior of the airfoil-store system introduces complexity to its mechanical
characteristics, making it essential to identify the system's nonlinear features. This study …

A modified incremental harmonic balance method combined with Tikhonov regularization for periodic motion of nonlinear system

Z Zheng, Z Lu, Y Chen, J Liu… - Journal of Applied …, 2022 - asmedigitalcollection.asme.org
In this paper, a modified incremental harmonic balance (IHB) method combined with
Tikhonov regularization has been proposed to achieve the semi-analytical solution for the …

A new semi-analytical approach for quasi-periodic vibrations of nonlinear systems

G Liu, J Liu, L Wang, Z Lu - … in Nonlinear Science and Numerical Simulation, 2021 - Elsevier
This paper presents a new semi-analytical approach, namely the enhanced time-domain
minimum residual method to solve the semi-analytical quasi-periodic solution for nonlinear …

Parameter identification of nonlinear systems with time-delay from time-domain data

T Zhang, Z Lu, J Liu, G Liu - Nonlinear Dynamics, 2021 - Springer
The present paper develops an enhanced response sensitivity approach for parameter
identification of nonlinear time-delay systems from the time-domain data. Accurate and rapid …

A new semi-analytical technique for nonlinear systems based on response sensitivity analysis

G Liu, ZR Lu, L Wang, J Liu - Nonlinear Dynamics, 2021 - Springer
In this paper, a new semi-analytical method, namely the time-domain minimum residual
method, is proposed for the nonlinear problems. Unlike the existing approximate analytical …

Residual-tuned analytical approximation for the limit cycle of aeroelastic systems with hysteresis nonlinearity

Z Zheng, Y Chen, Z Lu, J Liu, G Liu - Journal of Fluids and Structures, 2022 - Elsevier
In this paper, the limit cycle of the two-dimensional aeroelastic system with hysteresis
nonlinearity was obtained by the time-domain minimum residual method. Compared with the …

Describing function method with pointwise balancing in time domain for periodic responses of non-smooth self-excited system

Z Zheng, Z Lu, G Liu, Y Chen - Acta Mechanica, 2023 - Springer
This paper proposes a describing function method with pointwise balancing in time domain
(DFPB), to solve periodic responses semi-analytically of self-excited systems with non …

[HTML][HTML] Rapid parameter identification of linear time-delay system from noisy frequency domain data

G Liu, M Yu, L Wang, Z Yin, J Liu, Z Lu - Applied Mathematical Modelling, 2020 - Elsevier
The technique to identify the system parameters thereof has attracted extensive research
interest, since knowing the parameters would enable effective system control strategy and …