面向精密气磁隔振的磁斥力负刚度装置的优化设计

ZHAO Yamin,CUI Junning,ZOU Limin,BIAN Xingyuan

Journal of Vibration and Shock ›› 2021, Vol. 40 ›› Issue (20) : 9-15.

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Journal of Vibration and Shock ›› 2021, Vol. 40 ›› Issue (20) : 9-15.

  • ZHAO Yamin1,2,CUI Junning1,2,ZOU Limin1,2,BIAN Xingyuan1,2
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Abstract

To further improve the performance of air floating vibration isolators and reduce the influence of low-frequency micro-amplitude vibration on ultra-precision machining and measuring equipment, a negative stiffness device with magnetic repulsion for precision air magnetic isolation was proposed.The negative stiffness device with magnetic repulsion is composed of three cubic permanent magnets arranged horizontally and magnetized in the same direction along the vertical direction.The stiffness of the negative stiffness device with magnetic repulsion was changed by the gap of magnets, and the gap of magnets was not affected by the amplitude of vibration isolation load.Based on the equivalent magnetic charge model, the magnetic force, stiffness, and stiffness nonlinearity analytical model of the negative stiffness device with magnetic repulsion was established and verified by finite element simulations.Based on the analytical model, the genetic algorithm was used to optimize the geometric parameters.The optimization analysis results show that the multi-objective optimization that takes the stiffness at static equilibrium and the stiffness nonlinearity at ±1 mm as the objective function can increase the negative stiffness by 146.09% and reduce the stiffness nonlinearity by 64.73%.The research is of great application value to the design of precision low frequency air magnetic isolators in precision instruments and systems, ultra-precision manufacturing, and cutting-edge scientific experimental systems.

Key words

air magnetic vibration isolation / low frequency micro-amplitude vibration / negative stiffness device with magnetic repulsion / stiffness nonlinearity

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References

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