Optimal Semiactive Damping Control for a Nonlinear Energy Sink Used to Stabilize Milling

Improving product quality of machining components has always met with problems due to the vibration of the milling machine’s spindle, which can be reduced by adding a vibration absorber. The tuned vibration absorber (TVA) has been studied extensively and found to have a narrow bandwidth, but the cutting force possesses wide bandwidth in the process of machining parts. Introducing nonlinearity into the dynamic vibration absorber can effectively increase the bandwidth of vibration suppression and can significantly improve the robustness of the vibration absorber. In addition, a semiactive TVA has proved to be more effective than a passive TVA for many applications, so the main purpose of this study is to find some appropriate semiactive control methods for a nonlinear energy sink (NES), a nonlinear vibration absorber, in structural vibration applications. Two semiactive control methods are considered in this study: continuous groundhook damping control based on velocity and on-off groundhook damping control based on velocity. To fairly compare these vibration absorbers, the optimal parameters of a passive TVA, a passive NES, and two semiactive NESs are designed using numerical optimization techniques to minimize the root-mean-square acceleration. Two cutting forces are introduced in this study, a periodic force and an aperiodic force, and the four vibration absorbers are compared. When the primary structure is excited with aperiodic cutting force, the amplitude of the primary structure decreased by 17.73% with the passive TVA, by 72.29% with the passive NES, by 73.54% with the on-off NES, and by 87.54% with the continuous NES. When the primary structure is excited with periodic cutting force, the amplitude of the primary structure decreased by 49.01% with a passive TVA, by 86.93% with a passive NES, by 96.38% with an on-off NES, and by 99.23% with a continuous NES. The results show that the passive NES is better than the passive TVA; the semiactive NES provides more effective vibration attenuation than the passive NES, and the continuous control is more effective than the on-off control.

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Nonlinear Torsional Vibration Absorber for Flexible Structures

Journal of Applied Mechanics ◽

10.1115/1.4042045 ◽

2018 ◽

Vol 86 (2) ◽

Cited By ~ 9

Author(s):

Xiao-Ye Mao ◽

Hu Ding ◽

Li-Qun Chen

Keyword(s):

High Efficiency ◽

Rotation Angle ◽

Flexible Structures ◽

Nonlinear Energy Sink ◽

Flexible Structure ◽

Vibration Absorber ◽

Special Perturbation ◽

Energy Sink ◽

Simulation Parameters ◽

Nonlinear Energy

A new kind of nonlinear energy sink (NES) is proposed to control the vibration of a flexible structure with simply supported boundaries in the present work. The new kind of absorber is assembled at the end of structures and absorbs energy through the rotation angle at the end of the structure. It is easy to design and attached to the support of flexible structures. The structure and the absorber are coupled just with a nonlinear restoring moment and the damper in the absorber acts on the structure indirectly. In this way, all the linear characters of the flexible structure will not be changed. The system is investigated by a special perturbation method and verified by simulation. Parameters of the absorber are fully discussed to optimize the efficiency of it. For the resonance, the maximum motion is restrained up to 90% by the optimized absorber. For the impulse, the vibration of the structure could attenuate rapidly. In addition to the high efficiency, energy transmits to the absorber uniaxially. For the high efficiency, convenience of installation and the immutability of linear characters, the new kind of rotating absorber provides a very good strategy for the vibration control.

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Numerical Study of a Single-Sided Vibro-Impact Track Nonlinear Energy Sink Considering Horizontal and Vertical Dynamics

Journal of Vibration and Acoustics ◽

10.1115/1.4044486 ◽

2019 ◽

Vol 141 (6) ◽

Cited By ~ 2

Author(s):

Wenke Li ◽

Nicholas E. Wierschem ◽

Xinhui Li ◽

Tiejun Yang ◽

Michael J. Brennan

Keyword(s):

Primary Structure ◽

Numerical Study ◽

Nonlinear Energy Sink ◽

Horizontal Direction ◽

Impact Surface ◽

Wide Range ◽

Quartic Polynomial ◽

Energy Sink ◽

The Impact ◽

Nonlinear Energy

Abstract In this paper, the single-sided vibro-impact track nonlinear energy sink (SSVI track NES) is studied. The SSVI track NES, which is attached to a primary structure, has nonlinear behavior caused by the NES mass moving on a fixed track and impacting on the primary structure at an impact surface. Unlike previous studies of the SSVI track NES, both the horizontal and vertical dynamics of the primary structure are considered. A numerical study is carried out to investigate the way in which energy is dissipated in this system. Assuming a track shape with a quartic polynomial, an optimization procedure that considers the total energy dissipated during a time period is carried out, to determine the optimum NES mass and track parameter. It is found that there is dynamic coupling between the horizontal and vertical directions caused by the SSVI track NES motion. The vibrational energy, originally in the structure in the horizontal direction, is transferred to the vertical motion of the structure where it is dissipated. Considering that many civil and mechanical systems are particularly vulnerable to extreme loads in the horizontal direction, this energy transformation can be beneficial to prevent or limit damage to the structure. The effect on energy dissipation of the position of the impact surface in the SSVI track NES and the ratio of the vertical to horizontal stiffness in the primary structure are discussed. Numerical results demonstrate a robust and stable performance of the SSVI track NES over a wide range of stiffness ratios.

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Attractors of harmonically forced linear oscillator with attached nonlinear energy sink. II: Optimization of a nonlinear vibration absorber

Nonlinear Dynamics ◽

10.1007/s11071-006-9168-z ◽

2007 ◽

Vol 51 (1-2) ◽

pp. 47-57 ◽

Cited By ~ 78

Author(s):

Y. Starosvetsky ◽

O. V. Gendelman

Keyword(s):

Nonlinear Vibration ◽

Nonlinear Energy Sink ◽

Linear Oscillator ◽

Vibration Absorber ◽

Nonlinear Vibration Absorber ◽

Energy Sink ◽

Nonlinear Energy

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Sommerfeld Effect and Passive Energy Reallocation in a Self-Synchronizing System

Volume 4A: Dynamics, Vibration, and Control ◽

10.1115/imece2018-87559 ◽

2018 ◽

Author(s):

Anubhab Sinha ◽

Saurabh Kumar Bharti ◽

Arun Kumar Samantaray ◽

Ranjan Bhattacharyya

Keyword(s):

Nonlinear Energy Sink ◽

Power Input ◽

Vibration Absorber ◽

Sommerfeld Effect ◽

Structural Vibrations ◽

Dynamic Vibration Absorber ◽

Jump Phenomena ◽

Energy Sink ◽

Nonlinear Energy ◽

Base Structure

Two eccentric rotors are mounted rigidly on a common vibrating base structure. Each of these rotors are separately driven by two motors, which are by nature non-ideal. Although power input for both rotors are different, the two rotors acquire the same speed via communication through the energized vibrating base. The phenomena is known as ‘self-synchronization’. Additionally, the presence of two non-ideal drives within the vibrating system also lead to the onset of the nonlinear jump phenomena (formally known as the Sommerfeld effect). Numerical simulations are carried out on a model developed on MSC Adams. From the generated responses, an overview of ‘self-synchronization’ as well as the various modes of synchronization are studied adjacent to the nature of Sommerfeld effect inherent within this system. The aim is to reduce the structural vibrations, mainly by virtue of self-synchronization. Henceforth, the behavior of the synchronized system is also examined in the presence of two secondary vibration reducing devices — a tuned Dynamic Vibration Absorber (DVA) and a Nonlinear Energy Sink (NES). Both are designed to passively absorb the excess vibrating energy from the synchronized system, at the onset of resonance.

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Bistable Nonlinear Energy Sink Using Magnets and Linear Springs: Application to Structural Seismic Control

Shock and Vibration ◽

10.1155/2021/9976432 ◽

2021 ◽

Vol 2021 ◽

pp. 1-17

Author(s):

Y. Y. Chen ◽

W. Zhao ◽

C. Y. Shen ◽

Z. C. Qian

Keyword(s):

Permanent Magnets ◽

Nonlinear Energy Sink ◽

Vibration Absorber ◽

Control Performance ◽

Frame Model ◽

Seismic Control ◽

Mass Damper ◽

Energy Sink ◽

Shear Frame ◽

Nonlinear Energy

Nonlinear energy sink (NES) has proven to be very effective in reducing the vibration response of structures. In this paper, a magnetic bistable nonlinear energy sink (BNES) that composed of a guided moving mass attached with linear springs and permanent magnets is proposed. To assess the seismic control performance of the proposed BNES, a shear frame model equipped with the proposed BNES is compared with the same shear frame model equipped with an optimized cubic NES and with a linear tuned mass damper (TMD) system. The results show that, in the idealized situation, where the mass and stiffness is clearly defined (no uncertainty), the BNES can achieve similar performance as a thoroughly in-tuned TMD system. Moreover, in the detuned condition, due to broadband high internal resonance capability, the proposed BNES can outperform the linear TMD and the cubic NES. The study demonstrates that the proposed BNES can be used as an efficient passive vibration absorber for structural seismic control.

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Performance Comparison Between a Nonlinear Energy Sink and a Linear Tuned Vibration Absorber for Broadband Control

Nonlinear Dynamics, Volume 1 - Conference Proceedings of the Society for Experimental Mechanics Series ◽

10.1007/978-3-319-29739-2_9 ◽

2016 ◽

pp. 83-95 ◽

Cited By ~ 1

Author(s):

Etienne Gourc ◽

Lamberto Dell Elce ◽

Gaetan Kerschen ◽

Guilhem Michon ◽

Gwenaelle Aridon ◽

...

Keyword(s):

Nonlinear Energy Sink ◽

Performance Comparison ◽

Vibration Absorber ◽

Energy Sink ◽

Tuned Vibration Absorber ◽

Nonlinear Energy

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Vibration absorption of parallel-coupled nonlinear energy sink under shock and harmonic excitations

Applied Mathematics and Mechanics ◽

10.1007/s10483-021-2757-6 ◽

2021 ◽

Vol 42 (8) ◽

pp. 1135-1154

Author(s):

Jian’en Chen ◽

Wei Zhang ◽

Jun Liu ◽

Wenhua Hu

Keyword(s):

Nonlinear Energy Sink ◽

Superior Performance ◽

System Response ◽

Vibration Absorbers ◽

Vibration Absorption ◽

Significant Difference ◽

Harmonic Excitations ◽

Energy Sink ◽

Force Range ◽

Nonlinear Energy

AbstractNonlinear energy sink (NES) can passively absorb broadband energy from primary oscillators. Proper multiple NESs connected in parallel exhibit superior performance to single-degree-of-freedom (SDOF) NESs. In this work, a linear coupling spring is installed between two parallel NESs so as to expand the application scope of such vibration absorbers. The vibration absorption of the parallel and parallel-coupled NESs and the system response induced by the coupling spring are studied. The results show that the responses of the system exhibit a significant difference when the heavier cubic oscillators in the NESs have lower stiffness and the lighter cubic oscillators have higher stiffness. Moreover, the e±ciency of the parallel-coupled NES is higher for medium shocks but lower for small and large shocks than that of the parallel NESs. The parallel-coupled NES also shows superior performance for medium harmonic excitations until higher response branches are induced. The performance of the parallel-coupled NES and the SDOF NES is compared. It is found that, regardless of the chosen SDOF NES parameters, the performance of the parallel-coupled NES is similar or superior to that of the SDOF NES in the entire force range.

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Design Procedure of a Nonlinear Vibration Absorber Using Bifurcation Analysis: Application to the Drill-String System

Volume 1: 22nd Biennial Conference on Mechanical Vibration and Noise, Parts A and B ◽

10.1115/detc2009-87358 ◽

2009 ◽

Cited By ~ 3

Author(s):

Re´gis Viguie´ ◽

Gae¨tan Kerschen

Keyword(s):

Design Procedure ◽

Nonlinear Energy Sink ◽

Drill String ◽

Vibration Absorber ◽

Nonlinear Structures ◽

Targeted Energy Transfer ◽

Vibration Level ◽

Analysis Application ◽

Energy Sink ◽

Nonlinear Energy

A nonlinear energy sink (NES) is characterized by its ability to passively realize targeted energy transfer as well as multimodal damping. This latter feature seems to make this device very well suited for reducing the vibration level of MDOF linear and nonlinear structures. The perspective of dealing with such primary structures requires the development of an efficient NES design procedure. This paper poses the basis of such a procedure that is applied to the vibration mitigation of a drill-string system, using the software MatCont.

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Experimental Investigation of a Rotational Nonlinear Energy Sink for Shock Mitigation

Volume 6: 10th International Conference on Multibody Systems, Nonlinear Dynamics, and Control ◽

10.1115/detc2014-35375 ◽

2014 ◽

Cited By ~ 1

Author(s):

Nicholas E. Wierschem ◽

Mohammad A. AL-Shudeifat ◽

Billie F. Spencer ◽

Alexander F. Vakakis ◽

Lawrence A. Bergman

Keyword(s):

Ground Motion ◽

Primary Structure ◽

Nonlinear Energy Sink ◽

Small Scale ◽

Rotational Mode ◽

Story Structure ◽

Energy Dependency ◽

Shock Mitigation ◽

Energy Sink ◽

Nonlinear Energy

Rotational nonlinear energy sinks (NESs) have been proposed to mitigate the response of underlying primary structures subjected to shock loading. This type of NES, which is composed of a passive mass that is free to rotate, has the potential to be easier to realize and more compact than other types of NESs. Like other types of NESs, these devices engage in targeted energy transfer, which allows for the broadband transfer of energy from the primary structure to the NES where it can be rapidly dissipated. Additionally, these devices can couple the dynamics of the primary structure and facilitate the transfer of energy from lower modes to higher modes, where it can be dissipated at a faster rate. This paper experimentally investigates the performance of this type of NES by using the results from tests of a rotational NES attached to a small-scale two-story structure. For these experiments, a shock load is provided to the primary structure using a shake-table-produced impulse-like ground motion. Additionally, by varying the amplitude of the input ground motion, the energy dependency of the performance of these devices can be investigated. The results of these experiments show that this type of NES can attenuate the response of a structure by responding in a highly effective rotational mode.

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