Periodic Motion and Frequency Energy Plots of Dynamical Systems Coupled With Piecewise Nonlinear Energy Sink
Abstract
The frequency-energy plots (FEPs) of two-degree-of-freedom linear structures attached to a piecewise nonlinear energy sink (PNES) are generated here and thoroughly investigated. This study provides the FEP analysis of such systems for further understanding to nonlinear targeted energy transfer (TET) by the PNES. The attached PNES to the considered linear dynamical systems incorporates a symmetrical clearance zone of zero stiffness content where the boundaries of the zone are coupled with the linear structure by linear stiffness elements. In addition, linear viscous damping is selected to be continuous during the PNES mass oscillation. The underlying nonlinear dynamical behavior of the considered structure-PNES systems is investigated by generating the fundamental backbone curves of the FEP and the bifurcated subharmonic resonance branches using numerical continuation methods. Accordingly, interesting dynamical behavior of the nonlinear normal modes (NNMs) of the structure-PNES system on different backbones and subharmonic resonance branches has been observed. In addition, the imposed wavelet transform frequency spectra on the FEPs have revealed that the TET takes place in multiple resonance captures where it is dominated by the nonlinear action of the PNES.
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NESs with clearance nonlinearities are coupled to the primary structure through non-smooth piecewise nonlinearities with optimizable clearances and stiffness characteristics.
“This type of NES is coupled to the primary structure through non-smooth piecewise nonlinearities with optimizable clearances and stiffness characteristics.”
From A review on nonlinear energy sinks: designs, analysis and applications of impact and rotary types (2023) · cites this paper as [120]
The targeted energy transfer mechanism by the piecewise NES was verified on the frequency energy plot via multiple strong resonance captures on the in phase and out of phase backbone curves.
“Consequently, the TET mechanism by the piecewise NES was verified on the FEP via multiple strong resonance captures on the in phase and out of phase backbone curves.”
From A review on nonlinear energy sinks: designs, analysis and applications of impact and rotary types (2023) · cites this paper as [120]
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- Authors
- Al-Shudeifat, M. A., & Saeed, A. S.
- Affiliations
- Khalifa University of Science and Technology (AE)
- Venue
- Journal of Computational and Nonlinear Dynamics
- Publisher
- ASME International
- Published
- 2022-02-14
- Volume
- 17
- Issue
- 4
- ISSN
- 1555-1415 (ISSN-L)
- 1555-1423
- OpenAlex
- W4205709192
- Cited by
- 31
- References
- 41
- Citations by year
- 2026: 2 · 2025: 7 · 2024: 12 · 2023: 4 · 2022: 6
- FWCI
- 3.26
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Journal of Computational and Nonlinear Dynamics (publishedVersion)
- 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 › Civil and Structural Engineering › Bladed Disk Vibration Dynamics
- Keywords
- periodic motion, zero stiffness, nonlinear normal modes, subharmonic resonance, bifurcation analysis, vibration energy harvesting
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