基于磁荷叠加增强的磁扭负刚度低频隔振研究

doi:10.7527/S1000-6893.2025.32160

Abstract

Abstract:

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.

Key words: low-frequency torsional vibration, magnetic torsional negative stiffness, magnetic charge superposition, vibration isolation

CLC Number:

V214

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 Aeronautica et Astronautica Sinica, 2026, 47(2): 232160.

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弹簧	k₁/［（N·m）·rad^-1］	k₃/［（N·m）·rad^-3］	k₅/［（N·m）·rad^-5］	k₇/［（N·m）·rad^-7］
HMTS1	-99.4	1 470.0	1 661	-2.834×10⁴
HMTS2	-66.0	967.3	1 277	-1.958×10⁴
HMTS3	-99.5	3 746.0	-5.845×10⁴	3.684×10⁵

阵列	k₁/［（N·m）·rad^-1］	k₃/［（N·m）·rad^-3］	k₅/［（N·m）·rad^-5］	k₇/［（N·m）·rad^-7］
磁荷叠加阵列-sup	-99.4	1 470	1 661	-2.834×10⁴
传统阵列-tra	-29.6	1 998	-1.897×10⁴	3.794×10⁴

参数	数值
螺旋杆长度L/mm	255.84
螺旋杆宽度b/mm	6.5
螺旋杆厚度h/mm	3.0

试验装置	材料
输入轴	铝合金
输出轴
隔振器框架
隔振实验平台
瓦形磁体	N52
平面涡卷弹簧	铍青铜
负载	不锈钢

参数	数值
内磁瓦内半径/mm	12
内磁瓦外半径/mm	24
内磁瓦角度/（°）	22
内磁瓦高度/mm	35
外磁瓦1内半径/mm	28
外磁瓦2内半径/mm	28
外磁瓦1外半径/mm	41
外磁瓦2外半径/mm	41
外磁瓦1角度/（°）	14
外磁瓦2角度/（°）	28
外磁瓦1高度/mm	35
外磁瓦2高度/mm	35
磁体剩磁强度/T	1.43
平面涡卷扭簧杆长/mm	255.84
平面涡卷扭簧杆宽/mm	6.5
平面涡卷扭簧杆厚/mm	2.1
负载转动惯量/（kg·m²）	0.013 7

Low-frequency vibration isolation of magnetic torsional negative stiffness using magnetic charge superposition enhancement

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Figures/Tables 36

References 25

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参数	HMTS1	HMTS2	HMTS3
r/mm	12	12	12
l₁/mm	12	12	12
gap/mm	4	4	3
l₂/mm	13	13	13
α/（°）	22	22	14
β/（°）	14	14	14
h₁/mm	35	25	33
h₂/mm	35	25	33

阵列	k₁/［（N·m）·rad^-1］	k₃ /［（N·m）·rad^-3］	k₅/［（N·m）·rad^-5］	k₇/［（N·m）·rad^-7］
阵列1	-27.59	1 080.0	-4.901×10⁴	-6.505×10⁵
阵列2	-25.97	342.5	-3 455	5 642
阵列3	-20.24	268.5	-3 311	9.153×10⁵
阵列4	-32.34	199.6	688.4	1.558×10⁴
阵列5	-24.11	594.4	5.563×10⁴	1.061×10⁶
阵列6	-37.03	196.1	2.067×10⁴	-3.147×10⁵
阵列7	-54.57	593.8	-8 400	-281.8

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