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 …

Harmonic BalanceMethods: A Review and Recent Developments

Z Yan, H Dai, Q Wang, SN Atluri - 2023 - ttu-ir.tdl.org
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 …

Multi-solution phenomena and nonlinear characteristics of tristable galloping energy harvesters with magnetic coupling nonlinearity

Z Li, S Wang, S Zhou - … in Nonlinear Science and Numerical Simulation, 2023 - Elsevier
Different from linear energy harvesters, nonlinear energy harvesters have multi-solution
phenomena and nonlinear characteristics, some of which are beneficial for high …

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 …

An efficient multiple harmonic balance method for computing quasi-periodic responses of nonlinear systems

Q Wang, Z Yan, H Dai - Journal of Sound and Vibration, 2023 - Elsevier
Quasi-periodic responses composed of multiple base frequencies widely exist in science
and engineering problems. The multiple harmonic balance (MHB) method is one of the most …

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 …

Design and experiment of micro-vibration isolation system for optical satellite

H Luo, C Fan, Y Li, G Liu, C Yu - European Journal of Mechanics-A/Solids, 2023 - Elsevier
In this paper, a kind of ring laminated damping structure, called the vibration isolation ring, is
proposed based on the geometrical nonlinear characteristics of a ring structure and the …

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 …

Twice harmonic balance method for stability and bifurcation analysis of quasi-periodic responses

Z Zheng, Z Lu, G Liu, Y Chen - Journal of …, 2022 - asmedigitalcollection.asme.org
A twice harmonic balance (THB) method is proposed to compute and analyze quasi-periodic
(QP) responses of nonlinear dynamical systems, with emphasis on the stability and …

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 …