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Abstract
A suitable quasi-zero-stiffness (QZS) vibration isolator system was developed for confined installation spaces. The system achieves close-to-zero stiffness through the parallel combination of magnetic rings and disc springs. First, the Halbach magnetization method was proposed for the positive stiffness mechanism owing to its advantages in the field of non-contact transmission. Furthermore, the negative stiffness mechanism was designed based on the nonlinear stiffness characteristics of disc springs. Next, the proposed QZS vibrator isolator was structurally optimized by focusing on the interaction between the positive and negative stiffness mechanisms. Thereafter, the effects of key structural and operating parameters on its dynamic characteristics (e.g., resonance frequency and force transmissibility (Te)) were analyzed to validate the accuracy of the theoretical model. Finally, comparative experiments were conducted using a magnetic bearing testing platform to evaluate Te through the QZS vibration isolator and its equivalent linear isolator under identical excitation. The results demonstrated that the QZS vibration isolator exhibited superior low-frequency vibration isolation performance. This study offered a basis for prototype manufacturing, future experimental validations, and broadening engineering implementation.
Keywords
Halbach
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Quasi-zero-stiffness vibration isolator
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Nonlinear dynamics
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Low-frequency vibration control
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Adjustable operating condition
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Mengtong Wang, Chang Qi, Sheng Li, Rui Li, Liqiang Han, Hao Chen.
Analytical Study on a Quasi-Zero-Stiffness Vibration Isolator Based on Magnetic Rings and Disc Springs.
Journal of Marine Science and Application 1-13 DOI:10.1007/s11804-025-00757-7
| [1] |
Cai CQ, Zhou JX, Wu LC, Wang K, Xu DL, Ouyang HJ (2020) Design and numerical validation of quasi-zero-stiffness metamaterials for very low-frequency band gaps. Composite Structures 236. https://doi.org/10.1016/j.compstruct.2020.111862
|
| [2] |
Chai K, Lou LJ, Yang QC, Liu SY. Characteristic analysis of vibration isolation system based on high-static-low-dynamic stiffness. Journal of Vibroengineering, 2017, 19(6): 4120-4137.
|
| [3] |
Dalela S, Balaji PS, Jena DP. Design of a metastructure for vibration isolation with quasi-zero-stiffness characteristics using bistable curved beam. Nonlinear Dynamics, 2022, 108(3): 1931-1971.
|
| [4] |
Davis RB, McDowell MD (2017) Combined Euler column vibration isolation and energy harvesting. Smart Materials and Structures 26(5). https://doi.org/10.1088/1361-665X/aa6721
|
| [5] |
Dong GX, Zhang XN, Luo YJ, Zhang YH, Xie SL. Analytical study of the low frequency multi-direction isolator with high-static-low-dynamic stiffness struts and spatial pendulum. Mechanical Systems and Signal Processing, 2018, 110: 521-539.
|
| [6] |
Hao RB, Lu ZQ, Ding H, Chen LQ. A nonlinear vibration isolator supported on a flexible plate: analysis and experiment. Nonlinear Dynamics, 2022, 108(2): 941-958.
|
| [7] |
Li YY, Zhou XB, Chen WD, Liu XT (2021) Dynamic characteristics and application restrictions of a two-stage vibration isolation system with high-static-low-dynamic stiffness. Journal of Vibration Engineering 34(2). https://doi.org/10.16385/j.cnki.issn.1004-4523.2021.02.017
|
| [8] |
Liu CR, Yu KP, Liao BP, Hu RP (2021) Enhanced vibration isolation performance of quasi-zero-stiffness isolator by introducing tunable nonlinear inerter. Communications in Nonlinear Science and Numerical Simulation 95. https://doi.org/10.1016/j.cnsns.2020.105654
|
| [9] |
Liu CR, Zhao R, Yu KP, Lee HP, Liao BP (2021) A quasi-zero-stiffness device capable of vibration isolation and energy harvesting using piezoelectric buckled beams. Energy 233. https://doi.org/10.1016/j.energy.2021.121146
|
| [10] |
Liu Y, Sun FF, Yang JQ, Zeng C (2024) Development and experimental study of disc spring-based negative-positive-uncoupled stiffness devices for structural multi-level seismic fortification. Journal of Building Engineering 95. https://doi.org/10.1016/j.jobe.2024.110231
|
| [11] |
Lu DC, Zhou Y, Ma KQ, Lu L (2024) Investigation on the free vibration characteristics of vertical quasi-zero stiffness isolation system considering the disc spring’s loading position. Soil Dynamics and Earthquake Engineering 178. https://doi.org/10.1016/j.soildyn.2024.108484
|
| [12] |
Ma KQ, Zhou Y, Lu DC (2023) Theoretical and experimental investigation on disc spring isolation system with loading rings. Soil Dynamics and Earthquake Engineering 165. https://doi.org/10.1016/j.soildyn.2022.107655
|
| [13] |
Ozaki S, Tsuda K, Tominaga J. Analyses of static and dynamic behavior of coned disk springs: Effects of friction boundaries. Thin-Walled Structures, 2012, 59: 132-143.
|
| [14] |
Sodano Henry A, Bae J-S, Inman Daniel J, Keith Belvin W. Concept and model of eddy current damper for vibration suppression of a beam. Journal of Sound and Vibration, 2005, 288(4–5): 1177-1196.
|
| [15] |
Tian LL, Wu SH, Tian YQ (2017) Structure Optimization of Halbach Permanent Magnetic Bearing Constituted by Rectangular Section Permanent Magnetic Rings. Power System and Clean Energy 33(11). https://doi.org/CNKI:SUN:SXFD.0.2017-11-012
|
| [16] |
Tian YS, Cao DQ, Chen C, Zhang XY. Vibration isolation performance of a rectangular panel with high-static-low-dynamic stiffness supports. Applied Mathematical Modelling, 2023, 119: 218-238.
|
| [17] |
Wang MT, Su P, Liu SY, Chai K, Wang BX, Lu JF. Design and Analysis of Electromagnetic Quasi-zero Stiffness Vibration Isolator. Journal of Vibration Engineering & Technologies, 2022, 11(1): 153-164
|
| [18] |
Yan B, Ma HY, Zhao CX, Wu CY, Wang K, Wang PF. A vari-stiffness nonlinear isolator with magnetic effects: Theoretical modeling and experimental verification. International Journal of Mechanical Sciences, 2018, 148: 745-755.
|
| [19] |
Zhang Y, Liu QH, Lei YG, Cao JY, Liao WH (2023) Halbach high negative stiffness isolator: Modeling and experiments. Mechanical Systems and Signal Processing 188. https://doi.org/10.1016/j.ymssp.2022.110014
|
| [20] |
Zhang YS, Hou F, Lu ZQ, Ding H, Chen LQ (2025) Analytical and experimental study of thermoplastic polyurethane inclined beam isolator with quasi-zero stiffness and fractional derivative damping. Mechanical Systems and Signal Processing 224. https://doi.org/10.1016/j.ymssp.2024.111962
|
| [21] |
Zhou JX, Wang XL, Xu DL, Bishop S. Nonlinear dynamic characteristics of a quasi-zero stiffness vibration isolator with cam–roller–spring mechanisms. Journal of Sound and Vibration, 2015, 346: 53-69.
|
| [22] |
Zhou ZH, Dai ZH, Liu ZQ, Liu X, Chen SH, Li ZH, Zhou MR (2022) An adjustable low frequency vibration isolation with high-static-stiffness low-dynamic-stiffness property using a novel negative stiffness element. Applied Acoustics 188. https://doi.org/10.1016/j.apacoust.2021.108571
|
| [23] |
Zhu L, Zhou T, Wu YW, Bai HB, Tang Y (2022) Modeling and Performance Analysis of Vibration Isolation Systems with Parallel Connection of Positive and Negative Stiffness. Noise and Vibration Control. https://doi.org/10.3969/j.issn.1006-1355.2022.05.044
|
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