Featured as an innovative powerless and low stiffness suspension approach, diamagnetic levitation technique has trigged intensive interest because of its potential applicability in miniaturized mechanical system. The foundation of diamagnetic levitation system lies in mathematical modeling, which is essential for operating performance optimization and stability predication. However, to date, few literatures concerning the systematic mathematical modeling has been reported. Herein, in this work, a systematic mathematic model for disc-shaped diamagnetically levitated rotor on permanent magnets array is proposed. Based on the proposed model, the magnetic field distribution characteristics, diamagnetic levitation force characteristics (i.e. levitation height and stiffness) expressions and the optimized theorical conditions for realizing stable levitation are achieved. Experiments are also performed to dig out the relationship between levitation height and levitation force. Moreover, the operating stability of rotor under different conditions is evaluated. The experimental results are well in accordance with the theorical predications, confirming the feasibility of this mathematic model.

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The full text of this article is available to read as a PDF.
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Posted 13 Nov, 2020
Received 27 Oct, 2021
On 26 Oct, 2021
Received 07 Apr, 2021
On 30 Mar, 2021
Invitations sent on 10 Dec, 2020
On 02 Nov, 2020
On 02 Nov, 2020
On 02 Nov, 2020
On 01 Nov, 2020
Posted 13 Nov, 2020
Received 27 Oct, 2021
On 26 Oct, 2021
Received 07 Apr, 2021
On 30 Mar, 2021
Invitations sent on 10 Dec, 2020
On 02 Nov, 2020
On 02 Nov, 2020
On 02 Nov, 2020
On 01 Nov, 2020
Featured as an innovative powerless and low stiffness suspension approach, diamagnetic levitation technique has trigged intensive interest because of its potential applicability in miniaturized mechanical system. The foundation of diamagnetic levitation system lies in mathematical modeling, which is essential for operating performance optimization and stability predication. However, to date, few literatures concerning the systematic mathematical modeling has been reported. Herein, in this work, a systematic mathematic model for disc-shaped diamagnetically levitated rotor on permanent magnets array is proposed. Based on the proposed model, the magnetic field distribution characteristics, diamagnetic levitation force characteristics (i.e. levitation height and stiffness) expressions and the optimized theorical conditions for realizing stable levitation are achieved. Experiments are also performed to dig out the relationship between levitation height and levitation force. Moreover, the operating stability of rotor under different conditions is evaluated. The experimental results are well in accordance with the theorical predications, confirming the feasibility of this mathematic model.

Figure 1

Figure 2

Figure 3

Figure 4
Figure 5
Figure 6
Figure 7
Figure 8
Figure 9
Figure 10
Figure 11
Figure 12
Figure 13
Figure 14
Figure 15
Figure 16
Figure 17
The full text of this article is available to read as a PDF.
Loading...