Abstract
As an innovative,low-power consuming,and low-stiffness suspension approach,the diamagnetic levitation tech-nique has attracted considerable interest because of its potential applicability in miniaturized mechanical systems.The foundation of a diamagnetic levitation system is mathematical modeling,which is essential for operating perfor-mance optimization and stability prediction.However,few studies on systematic mathematical modeling have been reported.In this study,a systematic mathematical model for a disc-shaped diamagnetically levitated rotor on a per-manent magnet array is proposed.Based on the proposed model,the magnetic field distribution characteristics,diamagnetic levitation force characteristics(i.e.,levitation height and stiffness),and optimized theoretical conditions for realizing stable levitation are determined.Experiments are conducted to verify the feasibility of the proposed mathematical model.Theoretical predictions and experimental results indicate that increasing the levitation height enlarges the stable region.Moreover,with a further increase in the rotor radius,the stable regions of the rotor gradu-ally diminish and even vanish.Thus,when the levitation height is fixed,a moderate rotor radius permits stable levita-tion.This study proposes a mathematical modeling method fora diamagnetic levitation system that has potential applications in miniaturized mechanical systems.
基金项目
National Natural Science Foundation of China(52275537)
Nanjing Major Scientific and Technological Project of China(202209011)
NETL
NSTL
万方数据