Dynamic analysis of 1-dof and 2-dof nonlinear energy sink with geometrically nonlinear damping and combined stiffness
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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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The 2-DOF NES was found generating additional strongly modulated response than the SDOF NES.
“In addition, the 2-DOF NES was found generating additional strongly modulated response (SMR) than that the SDOF NES.”
From A review on nonlinear energy sinks: designs, analysis and applications of impact and rotary types (2023) · cites this paper as [147]
Incorporating nonlinear damping in the considered NES has enhanced the vibration mitigation performance compared with the case of only incorporating a linear damping.
“It was concluded that incorporating nonlinear damping in the considered NES has enhanced the vibration mitigation performance compared with the case of only incorporating a linear damping.”
From A review on nonlinear energy sinks: designs, analysis and applications of impact and rotary types (2023) · cites this paper as [147]
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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
- Update notices
- correction (2021-08-04)
- Open access
- green
- doi.org
- 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
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
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