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

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

Shock and Vibration ◽

10.1155/2020/8837753 ◽

2020 ◽

Vol 2020 ◽

pp. 1-11

Author(s):

Zhuo Chen ◽

Huancai Lu

Keyword(s):

Cutting Force ◽

Primary Structure ◽

Nonlinear Energy Sink ◽

Vibration Absorber ◽

Semiactive Control ◽

Vibration Absorbers ◽

Control Methods ◽

Damping Control ◽

Energy Sink ◽

Nonlinear Energy

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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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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