A tunable quasi-zero stiffness isolator based on a linear electromagnetic spring

Yuan, Shujin; Sun, Yi; Zhao, Jinglei; Meng, Kai; Wang, Min; Pu, Huayan; Peng, Yan; Luo, Jun; Xie, Shaorong

doi:10.1016/j.jsv.2020.115449

Cited by 83 publications

(20 citation statements)

References 33 publications

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“…e principle of this method is to regard the magnet and the energized coil windings as multiple Maxwell loop currents, calculate the attractive force between any pair of loop currents, and finally superimpose and sum the attractive forces to get the electromagnetic force of the ES. e calculation process of the filament method has been described in detail in References [26,27], so it is omitted here. e electromagnetic force generated by the ES is given by…”

Section: Calculation Of the Electromagnetic Force And Ps Restoringmentioning

confidence: 99%

“…Liu et al [26] formed a new nonlinear isolator by arranging the electromagnetic spring (ES) symmetrically on both sides of the central axis of the vertical linear spring, which can realize QZS with the appropriate current. Yuan et al [27] combined a linear ES with a linear spring in parallel to form a new type of QZS isolator, which can be adjusted online under large excitation. Pu et al [28] arranged the coaxial coils and magnets in multiple layers to expand the adjustable area of negative stiffness.…”

Section: Introductionmentioning

confidence: 99%

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Design and Analysis of a Novel Quasi-Zero Stiffness Isolator under Variable Loads

Xie¹,

Niu²,

Sun³

et al. 2022

Mathematical Problems in Engineering

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The designed load of most quasi-zero stiffness (QZS) isolators is constant. The isolation performance will drop sharply once the load changes. A novel QZS isolator that can adapt to variable loads is proposed in this paper to improve the range of application of the isolator. The isolator is designed by paralleling the electromagnetic spring (ES), which provides negative stiffness, and the pneumatic spring (PS), which provides positive stiffness. The positive and negative stiffness can be adjusted by changing the pressure and coil current, which provides the possibility for the isolator to adapt to variable loads. This paper derived the conditions for the isolation system to obtain QZS characteristics, proposed the dynamic model of the isolation system, derived and verified the analytical expressions of the amplitude-frequency response and force transmissibility (FT), and discussed the change of FT and displacement transmissibility(DT) under different loads. Theoretical analysis shows that changing the pressure and coil current in the same proportion can maintain the superior low-frequency isolation performance when the load changes, thanks to the preservation of the QZS characteristics of the system after adjusting the pressure and coil current. Finally, the simulation results fg and isolation frequency band over the linear isolation system and PS isolation system. Furthermore, the proposed isolator can be adjusted online.

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Section: Calculation Of the Electromagnetic Force And Ps Restoringmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Design and Analysis of a Novel Quasi-Zero Stiffness Isolator under Variable Loads

Xie¹,

Niu²,

Sun³

et al. 2022

Mathematical Problems in Engineering

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show abstract

“…However, it is difficult for them to cope with the change of load and control. Electromagnetic negative stiffness mechanisms (ENSM) with adjustment capabilities have gradually become research hotspots [7][8][9][10] .…”

Section: Introductionmentioning

confidence: 99%

Fuzzy PID Control of Nonlinear Vibration Isolator with Parallel Electromagnetic Negative Stiffness

Xie

Niu

Meng

et al. 2022

J. Phys.: Conf. Ser.

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A fuzzy PID control strategy for quasi-zero stiffness (QZS) isolator which connects the pneumatic spring (PS) and the electromagnetic negative stiffness mechanism (ENSM) in parallel to suppress low-frequency vibration is proposed in this paper. First, the restoring force of PS and the electromagnetic force of the ENSM are derived. Secondly, the static analysis of the isolation system is carried out, and the analytical expressions of stiffness and restoring force of the vibration isolation system is obtained. The possibility of the vibration isolator reaching the QZS state is explained. Then, to obtain a better isolation effect, the optimal current of the coil is found according to the designed fuzzy PID control strategy. Finally, the simulation result shows that the isolation frequency band of the isolation system under fuzzy PID control and PID control is widened, and the vibration isolation performance under fuzzy PID control reaches more than 85% under different excitation frequencies. Control effect and vibration isolation performance under fuzzy PID control are better.

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“…Zhang et al [19] utilized the variable reluctance stress of a magnetic spring to generate a negative stiffness. Yuan et al [20] designed an electromagnetic spring with negative stiffness over a long stroke by combining three toroidal coils arranged coaxially with a ring magnet. Finally, special materials have been employed to design nonlinear QZS vibration isolators.…”

Section: Introductionmentioning

confidence: 99%

A Novel Low Stiffness Air Spring Vibration-Isolation Mounting System

Shuai

et al. 2022

Shock and Vibration

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Quasi-zero-stiffness (QZS) structures offer substantial practical benefits for facilitating the essential support and isolation of vibrational source loads aboard modern marine vessels. In order to design a compact QZS system of high bearing capacity, the article proposes a low stiffness air spring (LSAS) vibration-isolation mounting system composed of both vertical and lateral air springs. The vertical air springs support the load and isolate vibrations in the vertical direction, while the lateral air springs support the load and isolate transversal vibrations. Theoretical analyses based on a simple two-dimensional, single degree of freedom model demonstrate that the proposed novel LSAS design decreases the degree of stiffness in the support structure that would otherwise be induced by introducing lateral air springs and accordingly increases the vibration isolation effect. Moreover, optimization of the air spring parameters enables the lateral air springs to provide negative stiffness and thereby realize QZS characteristics. Experimental testing based on prototypes of a standard air spring mounting system and the proposed LSAS mounting system demonstrates that the stiffness of the proposed system is about 1/5 that of the standard system. Accordingly, the proposed structure design successfully alleviates the undesirable influence of lateral air springs on the stiffness of the mounting system.

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A tunable quasi-zero stiffness isolator based on a linear electromagnetic spring

Cited by 83 publications

References 33 publications

Design and Analysis of a Novel Quasi-Zero Stiffness Isolator under Variable Loads

Design and Analysis of a Novel Quasi-Zero Stiffness Isolator under Variable Loads

Fuzzy PID Control of Nonlinear Vibration Isolator with Parallel Electromagnetic Negative Stiffness

A Novel Low Stiffness Air Spring Vibration-Isolation Mounting System

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