基于永磁体间的磁性负刚度的分析与优化

Analysis and optimization of magnetic negative stiffness based on permanent magnet

为了有效地降低磁性负刚度结构的非线性程度,从简单三磁体结构出发,引入新型负刚度结构模型——五磁体对称结构,运用MATLAB建立新型负刚度结构的磁力学模型并应用Ansoft Maxwell进行仿真验证。研究永磁体间的相对位置参数对五磁体对称结构的负刚度曲线走势的影响,在微幅振动下对基于磁引力的负刚度曲线拟合后使用谐波平衡法求解动力学方程。最终得出结论:在给定的条件下,五磁体负刚度结构的负刚度曲线的非线性相较于简单三磁体结构,一定程度上得到了改善,且其隔振性能相较于传统线性隔振系统有了大幅提高,为磁性负刚度结构的负刚度曲线非线性的优化和应用提供了理论上的参考。

In order to effectively reduce the nonlinearity of magnetic negative stiffness structures, a new type of negative stiffness structure model, five-magnet symmetric structure, is introduced from the simple tri-magnet structure, and the magnetic force model of the new negative stiffness structure is established by using MATLAB and is verified by using the Ansoft Maxwell software. The influence of relative position parameters between permanent magnets on the trend of output negative stiffness curve of five-magnet symmetrical structure is studied and the dynamic equation is solved by harmonic balance method after fitting the negative stiffness curve based on magnetic gravity under the micro-vibration. Finally, it is proved that under the given conditions, the nonlinearity of the negative stiffness curve of the five-magnet negative stiffness structure is improved to some extent compared with the simple tri-magnet structure and its vibration isolation performance is greatly improved compared with the traditional linear vibration isolation system. It provides a theoretical reference for the nonlinear optimization and application of the negative stiffness curves of magnetic negative stiffness structures.