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

Zhang, Yunfa; Kong, Xiangbin; Yue, Chengfei; Xiong, Huai

doi:10.1007/s11071-021-06615-9

Cited by 44 publications

(15 citation statements)

References 39 publications

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“…7. NESs with nonlinear damping [147][148][149]: The nonlinear geometric damping has been firstly applied with NESs in [64,65]. However, the nonlinear damping and combined stiffness components are incorporated in the NES in [147] for studying the dynamical behavior of single and 2-DOF systems attached with this NES.…”

Section: Other Kinds or Modified Nessmentioning

confidence: 99%

“…NESs with nonlinear damping [147][148][149]: The nonlinear geometric damping has been firstly applied with NESs in [64,65]. However, the nonlinear damping and combined stiffness components are incorporated in the NES in [147] for studying the dynamical behavior of single and 2-DOF systems attached with this NES. 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.…”

Section: Other Kinds or Modified Nessmentioning

confidence: 99%

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A review on nonlinear energy sinks: designs, analysis and applications of impact and rotary types

2022

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Dynamical and structural systems are susceptible to sudden excitations and loadings such as wind gusts, blasts, earthquakes, and others which may cause destructive vibration amplitudes and lead to catastrophic impact on human lives and economy. Therefore, various vibration absorbers of linear and nonlinear coupling dynamics have been widely studied in plenty of publications where some have been applied in real-world practical applications. Firstly, the tuned-mass-damper (TMD), the first well-known linear vibration absorber that has been well-studied in the literature and applied with various structural and dynamical systems, is discussed. The linear vibration absorbers such as TMDs are widely used in real-life small- and large-scale structures due to their robust performance in vibration suppression of the low natural frequency structural modes. However, the TMD performs efficiently at narrowband frequency range where its performance is deteriorated by any changes in the frequency content in the structure and the TMD itself. Therefore, the targeted-energy-transfer mechanism which is found to be achieved by nonlinear energy sinks (NESs) has ignited the interest in passive nonlinear vibration suppression. Unlike TMDs, the NESs are dynamical vibration absorbers that achieve vibration suppression for wide range of frequency-energy levels. Given the very rapid growth in this field and the extensive research studies supporting the robustness of the NESs, this paper presents the different types of NESs and their applications with main emphasis on the rotary-based and impact-based NESs since they are of high impact in the literature due to their strong nonlinear dynamical behavior and robust targeted energy transfer.

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Section: Other Kinds or Modified Nessmentioning

confidence: 99%

Section: Other Kinds or Modified Nessmentioning

confidence: 99%

A review on nonlinear energy sinks: designs, analysis and applications of impact and rotary types

2022

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“…The vibration reduction performance of SPNES and CNES was also compared under harmonic excitation. Since the response of the LO is complex near the main resonance, the energy spectrum is introduced [30] , which is defined as follows: As shown in Fig. 9, when the harmonic excitation is weak, the vibration reduction performance of SPNES is better than that of CNES.…”

Section: Fig 7 Analysis Of Vibration Reduction Performance Of Spnes A...mentioning

confidence: 99%

Study on Dynamic Behavior and Vibration Reduction Performance of BPNES

Song

Zhou

Zhang

et al. 2022

Preprint

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Nonlinear energy sink (NES) can transfer energy efficiently and unidirectionally through target energy transfer (TET). However, its performance is sensitive to the excitation intensity. When the excitation is lower than the trigger threshold, the performance of NES will be greatly reduced. When the excitation exceeds the trigger threshold, its performance will decrease with the increase of the excitation. At the same time, strong excitation may lead to high branch response of the linear oscillator (LO) under harmonic excitation, which will make the vibration worse. In view of those, NES with negative stiffness is proposed to improve the vibration reduction performance under low disturbance. Meanwhile, 2DOF parallel nonlinear energy sink (PNES) is used to ensure the performance under strong excitation. Two important indexes of bistable NES (BNES), the threshold of the transition from intra-well periodic vibration to inter-well chaotic vibration, and the strongly modulated response (SMR) trigger threshold of BNES, are analyzed in this paper. The parameters of bistable parallel nonlinear energy sink (BPNES) are optimized, and the vibration performance of BPNES and cubic stiffness NES (CNES) is compared. The analysis results show that, the performance of BPNES is better than that of CNES under both impulse and harmonic excitation.

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“…This paper studies the dynamics of NES with geometrically nonlinear attenuation with a SDOF and 2 degrees of freedom. In a similar paper [24], the dynamics of 1-dof and 2-dof NES with nonlinear damping and combined stiffness connected to a linear generator is investigated. The vibration suppression effect of the proposed NES with nonlinear damping and combined stiffness is analyzed and verified by the energy spectrum, as well as shows that the 2-dof NES system demonstrates the best performance.…”

Section: Related Workmentioning

confidence: 99%

Modeling the Dynamics of a Gyroscopic Rigid Rotor with Linear and Nonlinear Damping and Nonlinear Stiffness of the Elastic Support

Iskakov¹,

Bissembayev

Jamalov

et al. 2021

Machines

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This study analytically and numerically modeled the dynamics of a gyroscopic rigid rotor with linear and nonlinear cubic damping and nonlinear cubic stiffness of an elastic support. It has been shown that (i) joint linear and nonlinear cubic damping significantly suppresses the vibration amplitude (including the maximum) in the resonant velocity region and beyond it, and (ii) joint linear and nonlinear cubic damping more effectively affects the boundaries of the bistability region by its narrowing than linear damping. A methodology is proposed for determining and identifying the coefficients of nonlinear stiffness, linear damping, and nonlinear cubic damping of the support material, where jump-like effects are eliminated. Damping also affects the stability of motion; if linear damping shifts the left boundary of the instability region towards large amplitudes and speeds of rotation of the shaft, then nonlinear cubic damping can completely eliminate it. The varying amplitude (VAM) method is used to determine the nature of the system response, supplemented with the concept of “slow” time, which allows us to investigate and analyze the effect of nonlinear cubic damping and nonlinear rigidity of cubic order on the frequency response at a nonstationary resonant transition.

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

Cited by 44 publications

References 39 publications

A review on nonlinear energy sinks: designs, analysis and applications of impact and rotary types

A review on nonlinear energy sinks: designs, analysis and applications of impact and rotary types

Study on Dynamic Behavior and Vibration Reduction Performance of BPNES

Modeling the Dynamics of a Gyroscopic Rigid Rotor with Linear and Nonlinear Damping and Nonlinear Stiffness of the Elastic Support

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