ACTA AERONAUTICAET ASTRONAUTICA SINICA >
Low-frequency vibration isolation of magnetic torsional negative stiffness using magnetic charge superposition enhancement
Received date: 2025-04-25
Revised date: 2025-06-26
Accepted date: 2025-07-01
Online published: 2025-07-15
Supported by
National Natural Science Foundation of China(12002114)
The low-frequency torsional vibration， which can not only reduce the power transmission efficiency of the shaft structures， but also threaten the operation safety of them， has been the research hotspot in the field of low-frequency vibration control. As the existing negative stiffness mechanism employed for low-frequency torsional isolation in shafts suffers from the strong nonlinearity and low negative stiffness， the design method of torsional vibration isolator with high magnetic torsional negative stiffness is proposed via magnetic charge superposition. The high magnetic torsional negative stiffness composed of tiles magnetized circumferentially is connected with plane spiral spring in parallel to analyze the low-frequency torsional isolation performance of the shaft structures. Referring to the magnetic charge model， the nonlinear torque and torsional negative stiffness of the High Magnetic Torsional negative Stiffness spring （HMTS） are derived， and then demonstrated via the numerical simulation of COMSOL finite element software in comparison with that of the traditional magnetic negative stiffness array. Besides that， the mechanical properties of plane spiral spring are also investigated using Ansys Workbench. With the effects of above analysis， the governing equations of the proposed isolator can be established， and relevant low-frequency isolation performance is studied with harmonic balance approach. A test rig of the isolator is set up to determine its low-frequency torsional isolation performance. The results show that the magnitude of high magnetic torsional negative stiffness spring is twice as high as that of the traditional magnetic negative stiffness ones， which can significantly broaden the isolation bandwidth as well.
Guangxu DONG , Yongwei SHI , Yajun LUO , Xinong ZHANG , Enwei CHEN , Haozheng WEI , Pin CHEN . Low-frequency vibration isolation of magnetic torsional negative stiffness using magnetic charge superposition enhancement[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2026 , 47(2) : 232160 -232160 . DOI: 10.7527/S1000-6893.2025.32160
| [1] | 金柱. 碰摩双转子系统弯扭耦合振动特性分析［D］. 南京： 南京航空航天大学， 2023： 13-18. |
| JIN Z. Analysis of bending-torsional coupling vibration characteristics of rub-impact dual-rotor system［D］. Nanjing： Nanjing University of Aeronautics and Astronautics， 2023： 13-18 （in Chinese）. | |
| [2] | WANG Y， ZHENG Q G， FU D W， et al. Study on adaptive torsional vibration suppression methods for helicopter/turboshaft engine system with variable rotor speed［J］. Asian Journal of Control， 2021， 23（3）： 1490-1502. |
| [3] | 赵亮亮， 吴强， 刘夫云， 等. 某载货汽车变速器怠速异响分析及诊断研究［J］. 机械传动， 2021， 45（7）： 128-134. |
| ZHAO L L， WU Q， LIU F Y， et al. Research of analysis and diagnosis of abnormal noise at idle speed of a truck transmission［J］. Journal of Mechanical Transmission， 2021， 45（7）： 128-134 （in Chinese）. | |
| [4] | 仪凌霄， 潘斯宁， 刘志成， 等. 含间隙非线性的工业机器人关节振动特性分析［J］. 机床与液压， 2023， 51（21）： 71-77. |
| YI L X， PAN S N， LIU Z C， et al. Analysis on joint vibration characteristics of industrial robot with clearance nonlinear［J］. Machine Tool & Hydraulics， 2023， 51（21）： 71-77 （in Chinese）. | |
| [5] | 潘雄， 张春生， 王熙辰， 等. 基于部分解调提前反馈的光纤陀螺振动误差抑制技术［J］. 振动与冲击， 2015， 34（15）： 60-65， 97. |
| PAN X， ZHANG C S， WANG X C， et al. Vibration error suppression technique for a fiber optic gyroscope based on partial demodulation and feedback in advance［J］. Journal of Vibration and Shock， 2015， 34（15）： 60-65， 97 （in Chinese）. | |
| [6] | 吴明亮， 赵晨名， 张来喜. 准零刚度振动控制系统的研究进展［J］. 南京理工大学学报， 2021， 45（1）： 18-26. |
| WU M L， ZHAO C M， ZHANG L X. Research progress of quasi-zero stiffness vibration control system［J］. Journal of Nanjing University of Science and Technology， 2021， 45（1）： 18-26 （in Chinese）. | |
| [7] | 孙秀婷， 钱佳伟， 齐志凤， 等. 非线性隔振及时滞消振方法研究进展［J］. 力学进展， 2023， 53（2）： 308-356. |
| SUN X T， QIAN J W， QI Z F， et al. Review on research progress of nonlinear vibration isolation and time-delayed suppression method［J］. Advances in Mechanics， 2023， 53（2）： 308-356 （in Chinese）. | |
| [8] | ZHOU J X， XU D L， BISHOP S. A torsion quasi-zero stiffness vibration isolator［J］. Journal of Sound and Vibration， 2015， 338： 121-133. |
| [9] | WANG K， ZHOU J X， XU D L. Sensitivity analysis of parametric errors on the performance of a torsion quasi-zero-stiffness vibration isolator［J］. International Journal of Mechanical Sciences， 2017， 134： 336-346. |
| [10] | 项昌乐， 李华， 刘辉. 正负刚度并联半主动扭振减振器减振特性的研究［J］. 汽车工程， 2015， 37（4）： 430-434， 459. |
| XIANG C L， LI H， LIU H. A study on the damping characteristics of semi-active torsional damper with combined positive and negative stiffness in parallel［J］. Automotive Engineering， 2015， 37（4）： 430-434， 459 （in Chinese）. | |
| [11] | 王晓杰， 刘辉， 郦文平， 等. 准零刚度扭转隔振器振动传递特性研究［J］. 机械工程学报， 2018， 54（21）： 49-56. |
| WANG X J， LIU H， LI W P， et al. Vibration transmission characteristics of a quasi-zero stiffness torsional isolator［J］. Journal of Mechanical Engineering， 2018， 54（21）： 49-56 （in Chinese）. | |
| [12] | ZHANG C， HE J S， ZHOU G Q， et al. Compliant quasi-zero-stiffness isolator for low-frequency torsional vibration isolation［J］. Mechanism and Machine Theory， 2023， 181： 105213. |
| [13] | PAN D K， TAN S F， ZHANG Z M， et al. The metastructures actuated by rotational motion with quasi-zero stiffness， negative stiffness， and bistability［J］. Thin-Walled Structures， 2025， 207： 112700. |
| [14] | YU K F， CHEN Y W， YU C Y， et al. Origami-inspire quasi-zero stiffness structure for flexible low-frequency vibration isolation［J］. International Journal of Mechanical Sciences， 2024， 276： 109377. |
| [15] | HAN H S， TANG L H， WU J N， et al. Origami-inspired isolators with quasi-zero stiffness for coupled axial-torsional vibration［J］. Aerospace Science and Technology， 2023， 140： 108438. |
| [16] | SUN Z Y， YUE X H， LI A， et al. A tensegrity-based torsional vibration isolator with broad quasi-zero-stiffness region［J］. Mechanical Systems and Signal Processing， 2025， 224： 112215. |
| [17] | ZHENG Y S， ZHANG X N， LUO Y J， et al. Analytical study of a quasi-zero stiffness coupling using a torsion magnetic spring with negative stiffness［J］. Mechanical Systems and Signal Processing， 2018， 100： 135-151. |
| [18] | 张春松， 李学勇， 张硕， 等. 适应负载变化的准零刚度扭转隔振器设计与分析［J］. 振动与冲击， 2022， 41（23）： 307-314. |
| ZHANG C S， LI X Y， ZHANG S， et al. Design and analysis of quasi-zero stiffness torsional vibration isolator adapting to load changes［J］. Journal of Vibration and Shock， 2022， 41（23）： 307-314 （in Chinese）. | |
| [19] | XU J W， YANG X F， LI W， et al. Design of quasi-zero stiffness joint actuator and research on vibration isolation performance［J］. Journal of Sound and Vibration， 2020， 479： 115367. |
| [20] | WANG Q， ZHOU J X， WANG K， et al. A torsion quasi-zero stiffness harvester-absorber system［J］. Acta Mechanica Sinica， 2024， 41（9）： 524252. |
| [21] | WU J L， ZENG L Z， HAN B， et al. Analysis and design of a novel arrayed magnetic spring with high negative stiffness for low-frequency vibration isolation［J］. International Journal of Mechanical Sciences， 2022， 216： 106980. |
| [22] | ZHAO Y M， CUI J N， ZOU L M. Magnetic ring array with high-amplitude negative stiffness for high performance micro-vibration isolation［J］. Journal of Vibration and Control， 2023， 29（11/12）： 2609-2622. |
| [23] | ZHANG Y， LIU Q H， LEI Y G， et al. Halbach high negative stiffness isolator： Modeling and experiments［J］. Mechanical Systems and Signal Processing， 2023， 188： 110014. |
| [24] | ZHANG Y， LIU Q H， LEI Y G， et al. Circular Halbach negative stiffness isolating from torsional vibration： Design， modeling and experiments［J］. Mechanical Systems and Signal Processing， 2023， 202： 110711. |
| [25] | FURLANI E P. Permanent magnet and electromechanical devices： Materials， analysis， and applications［M］. Amsterdam： Elsevier， 2001. |
/
| 〈 |
|
〉 |
CJA