Cited by 71Vibration Control and Rheological FluidsVibration and Dynamic AnalysisControl and Stability of Dynamical Systems

Dynamic analysis of 1-dof and 2-dof nonlinear energy sink with geometrically nonlinear damping and combined stiffness

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Zhang, Yunfa, Kong, Xianren, Yue, Chengfei, Xiong, Huai·2021·Nonlinear Dynamics

Abstract

Abstract Nonlinear energy sink (NES) refers to a typical passive vibration device connected to linear or weakly nonlinear structures for vibration absorption and mitigation. This study investigates the dynamics of 1-dof and 2-dof NES with nonlinear damping and combined stiffness connected to a linear oscillator. For the system of 1-dof NES, a truncation damping and failure frequency are revealed through bifurcation analysis using the complex variable averaging method. The frequency detuning interval for the existence of the strongly modulated response (SMR) is also reported . For the system of 2-dof NES, it is reported in a similar bifurcation analysis that the mass distribution between NES affects the maximum value of saddle-node bifurcation. To obtain the periodic solution of the 2-dof NES system with the consideration of frequency detuning, the incremental harmonic balance method (IHB) and Floquet theory are employed. The corresponding response regime is obtained by Poincare mapping, it shows that the responses of the linear oscillator and 2-dof NES are not always consistent, and 2-dof NES can generate extra SMR than 1-dof NES. Finally, the vibration suppression effect of the proposed NES with nonlinear damping and combined stiffness is analyzed and verified by the energy spectrum, and it also shows that the 2-dof NES system demonstrates better performance.

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Crossref · 10.1007/s11071-021-06615-9

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Authors
Zhang, Y., Kong, X., Yue, C., & Xiong, H.
Affiliations
Harbin Institute of Technology (CN)
Corresponding author
Kong, Xianren
Venue
Nonlinear Dynamics
Published
2021-06-23
Volume
105
Issue
1
Pages
167-190
ISSN
  • 0924-090X (ISSN-L)
  • 1573-269X
OpenAlex
W3155597119
Cited by
70
References
42
Citations by year
2026: 7 · 2025: 17 · 2024: 15 · 2023: 14 · 2022: 16 · 2021: 1
FWCI
5.81
Type
journal article
Language
en
Open access
Locations
  • Nonlinear Dynamics (publishedVersion)
  • Research Square (acceptedVersion, cc-by)
Funders
National Natural Science Foundation of China (2016YFB0501203, 51875119)
Topics
  • Physical Sciences › Engineering › Civil and Structural Engineering › Vibration Control and Rheological Fluids
  • Physical Sciences › Engineering › Control and Systems Engineering › Vibration and Dynamic Analysis
  • Physical Sciences › Engineering › Control and Systems Engineering › Control and Stability of Dynamical Systems
Keywords
nonlinear energy sink, vibration absorption, passive vibration control, saddle-node bifurcation, detuning, strongly modulated response, Poincaré map, Floquet theory, incremental harmonic balance method, mass distribution, vibration suppression

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