Characteristic analysis and design of nonlinear energy sink with cubic damping considering frequency detuning

Zhang, Yunfa; Kong, Xiangbin; Yue, Chengfei; Guo, Jinsheng

doi:10.1007/s11071-023-08673-7

Cited by 8 publications

(1 citation statement)

References 50 publications

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“…[12][13][14] Some scholars have explored the possibility of achieving enhanced vibration reduction by increasing the number of NES units. [15] Ding et al [16] firstly put forward the concept of NES cell and have improved the reliability of NES and its versatility to complex vibration structures by adding a large number of NES cells in parallel. Additionally, considerable attention has been devoted to studying the dynamic response of systems coupled with NESs under conditions of random or harmonic excitation.…”

Section: Introductionmentioning

confidence: 99%

A viscoelastic nonlinear energy sink with an electromagnetic energy harvester: Narrow-band random response

Liao 廖,

Sun 孙,

Liu 刘

2024

Chinese Phys. B

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Nonlinear energy sink is a passive energy absorption device that surpasses linear dampers, and has gained significant attention in various fields of vibration suppression. This is owing to its capacity to offer high vibration attenuation and robustness across a wide frequency spectrum. Energy harvester is a device employed to convert kinetic energy into usable electric energy. In this paper, we propose an electromagnetic energy harvester enhanced viscoelastic nonlinear energy sink (VNES) to achieve passive vibration suppression and energy harvesting simultaneously. A critical departure from prior studies is the investigation of the stochastic P-bifurcation of the electromechanically coupled VNES system under narrow-band random excitation. Initially, approximate analytical solutions are derived using a combination of multiple-scale method and a perturbation approach. The substantial agreement between theoretical analysis solutions and numerical solutions obtained from Monte Carlo simulation underscores the method’s high degree of validity. Furthermore, the effects of system parameters on system responses are carefully examined. Additionally, we demonstrate that stochastic P-bifurcation can be induced by system parameters, which is further verified by the steady-state density functions of displacement. Lastly, we analyze the impacts of various parameters on mean square current and mean output power, crucial for selecting suitable parameters to enhance energy harvesting performance.

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Section: Introductionmentioning

confidence: 99%

A viscoelastic nonlinear energy sink with an electromagnetic energy harvester: Narrow-band random response

Liao 廖,

Sun 孙,

Liu 刘

2024

Chinese Phys. B

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Dynamics and vibration reduction performance of asymmetric tristable nonlinear energy sink

Chen,

Zeng,

Ding

et al. 2024

Appl. Math. Mech.-Engl. Ed.

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With its complex nonlinear dynamic behavior, the tristable system has shown excellent performance in areas such as energy harvesting and vibration suppression, and has attracted a lot of attention. In this paper, an asymmetric tristable design is proposed to improve the vibration suppression efficiency of nonlinear energy sinks (NESs) for the first time. The proposed asymmetric tristable NES (ATNES) is composed of a pair of oblique springs and a vertical spring. Then, the three stable states, symmetric and asymmetric, can be achieved by the adjustment of the distance and stiffness asymmetry of the oblique springs. The governing equations of a linear oscillator (LO) coupled with the ATNES are derived. The approximate analytical solution to the coupled system is obtained by the harmonic balance method (HBM) and verified numerically. The vibration suppression efficiency of three types of ATNES is compared. The results show that the asymmetric design can improve the efficiency of vibration reduction through comparing the chaotic motion of the NES oscillator between asymmetric steady states. In addition, compared with the symmetrical tristable NES (TNES), the ATNES can effectively control smaller structural vibrations. In other words, the ATNES can effectively solve the threshold problem of TNES failure to weak excitation. Therefore, this paper reveals the vibration reduction mechanism of the ATNES, and provides a pathway to expand the effective excitation amplitude range of the NES.

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A vertical track nonlinear energy sink

Li,

Ding

2024

Appl. Math. Mech.-Engl. Ed.

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Eliminating the effects of gravity and designing nonlinear energy sinks (NESs) that suppress vibration in the vertical direction is a challenging task with numerous damping requirements. In this paper, the dynamic design of a vertical track nonlinear energy sink (VTNES) with zero linear stiffness in the vertical direction is proposed and realized for the first time. The motion differential equations of the VTNES coupled with a linear oscillator (LO) are established. With the strong nonlinearity considered of the VTNES, the steady-state response of the system is analyzed with the harmonic balance method (HBM), and the accuracy of the HBM is verified numerically. On this basis, the VTNES prototype is manufactured, and its nonlinear stiffness is identified. The damping effect and dynamic characteristics of the VTNES are studied theoretically and experimentally. The results show that the VTNES has better damping effects when strong modulation responses (SMRs) occur. Moreover, even for small-amplitude vibration, the VTNES also has a good vibration suppression effect. To sum up, in order to suppress the vertical vibration, an NES is designed and developed, which can suppress the vertical vibration within certain ranges of the resonance frequency and the vibration intensity.

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Characteristic analysis and design of nonlinear energy sink with cubic damping considering frequency detuning

Cited by 8 publications

References 50 publications

A viscoelastic nonlinear energy sink with an electromagnetic energy harvester: Narrow-band random response

A viscoelastic nonlinear energy sink with an electromagnetic energy harvester: Narrow-band random response

Dynamics and vibration reduction performance of asymmetric tristable nonlinear energy sink

A vertical track nonlinear energy sink

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