Periodic solutions and frequency lock-in of vortex-induced vibration energy harvesters with nonlinear stiffness

Z Li, H Zhang, G Litak, S Zhou - Journal of Sound and Vibration, 2024 - Elsevier
The phenomenon of amplitude jump usually means the presence of multi-solution ranges
and unstable periodic solutions, which has not been fully explored in the field of vortex …

Parameter estimation of fractional chaotic systems based on stepwise integration and response sensitivity analysis

T Zhang, Z Lu, J Liu, G Liu - Nonlinear Dynamics, 2023 - Springer
This paper presents a new parameter estimation approach for fractional chaotic systems
based on stepwise integration and response sensitivity analysis. This paper mainly consists …

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 …

Full-band vibration isolation of multi-step quasi-zero stiffness systems

Y Li, Z Wu, Y Peng, S Yao, J Zhou - International Journal of Mechanical …, 2024 - Elsevier
The application of traditional passive quasi-zero stiffness vibration isolation system is limited
to the narrow working region and effective vibration isolation with rated payload only. This …

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 …

Periodic solution and stability analysis of dry friction system based on an alternate state-space shooting algorithm

D Yang, L Wang, ZR Lu - Nonlinear Dynamics, 2023 - Springer
Dry frictions have significant effects on the dynamic responses of engineering systems, due
to the strong nonlinear/non-smooth stick and slip properties arising from the contact …

High-precision semi-analytical solution for the quasi-periodic nanobeam system based on the weight time-domain minimum residual method

G Liu, J Liu, Z Lu - Composite Structures, 2023 - Elsevier
Nanobeams have been widely used in various micro-electromechanical systems because of
their small size and high sensitivity. At the nanoscale, quasi-periodic (QP) vibration often …

Deciphering the complex behavior of piezoelectric neuron systems through bifurcation analysis with the time-domain minimum residual method

X Li, Y Chen, J Liu, G Liu - Nonlinear Dynamics, 2024 - Springer
In this study, a bifurcation analysis of the piezoelectric neuron system (PNS) is conducted
utilizing the time-domain minimum residual method (TMRM). From a biophysical standpoint …

Time-domain minimum residual method combined with energy balance for nonlinear conservative systems

G Liu, J Liu, L Wang, Z Lu - Mechanical Systems and Signal Processing, 2022 - Elsevier
This paper presents a new semi-analytical method that combines the time-domain minimum
residual method with energy balance for nonlinear conservative systems. Due to work done …

Nonlinear vibration behaviours of foam-filled honeycomb sandwich cylindrical shells: Theoretical and experimental investigations

Z Li, H Li, Y Yang, Y Deng, Z Zhang, C Ren… - Aerospace Science and …, 2024 - Elsevier
In this study, the nonlinear vibration behaviours of foam-filled honeycomb sandwich
cylindrical shells (FHSCSs) are investigated theoretically and experimentally. Initially, a time …