Inverse Design Method of Magnetic Springs With Customized Force-Displacement Relationship Over a Wide Range

Magnetic springs using permanent magnets (PMs) have shown advantages in various fields. For instance, they are integrated into precision positioning actuators for passive gravity compensation, as well as into precision vibration isolators to reduce dynamic stiffness. In this article, an inverse desi...

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Bibliographic Details
Published in:IEEE transactions on industrial electronics (1982) 2024-08, Vol.71 (8), p.9394-9404
Main Authors: Zhou, Rui, Huang, Zhiwei, Chen, Hui, Wu, Jiulin, Che, Jixing, Chen, Xuedong, Jiang, Wei
Format: Article
Language:English
Subjects:
Actuators
Convolution
Design methodology
Design techniques
Force–displacement relationship
gravity compensation
Inverse design
Magnetic levitation
magnetic spring
Magnetization
Magnetosphere
Permanent magnets
Springs
Springs (elastic)
Stators
Stiffness
vibration isolation
Vibration isolators
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Summary:Magnetic springs using permanent magnets (PMs) have shown advantages in various fields. For instance, they are integrated into precision positioning actuators for passive gravity compensation, as well as into precision vibration isolators to reduce dynamic stiffness. In this article, an inverse design method of magnetic springs is proposed, which enables to customize the force-displacement relationship by shaping PMs. First, a concept of modulated magnetic spring is introduced, whose stator PMs are nonuniformly magnetized. The modulation method is developed to customize the force-displacement relationship. Second, uniformly magnetized PMs are shaped layer by layer to substitute the modulated PM. This process involves optimizing the size of each layer independently to generate a nearly equivalent force, resulting in a highly manufacturable special-shaped magnetic spring. Three design examples are presented and tested. The first two examples maintain a constant force and a constant negative stiffness, respectively, within 30 mm. The relative errors are only 3.7% and 2.3%, respectively, which are defined as the ratio between the maximum deviation and the mean value. The third example can compensate for the nonlinear force of the subsidiary structures and maintain a constant resultant force in 40 mm with a relative error of 2.9%. This method is confirmed to customize the force-displacement relationship for various applications.
ISSN:0278-0046
1557-9948
DOI:10.1109/TIE.2023.3319710