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Nonlinear damping and mass effects of electromagnetic shunt damping for enhanced nonlinear vibration isolation

机译：电磁分流阻尼增强非线性隔振的非线性阻尼和质量效应

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摘要

This paper investigates the nonlinear mass and damping effects of nonlinear electromagnetic shunt damping (N-EMSD) for vibration isolation performance enhancement of a permanent magnets (PMs) based nonlinear vibration isolator (NVI). An electromagnetic structure composing of two coils and two PMs is designed to realize equivalent nonlinear damping and mass. The nonlinear mechanic-electromagnetic coupling coefficient is analyzed and modeled. The voltage frequency of the circuit is twice the displacement frequency that is totally different with that of the linear electromagnetic shunt damping (L-EMSD). The amplitude frequency response function of the NVI with N-EMSD is theoretically derived via the harmonic balance method (HBM) and the stability is judged with Jacobian matrix. Then the equivalent nonlinear damping and nonlinear mass of the N-EMSD is derived. The numerical predictions agree with the experimental results, which demonstrate that the use of inductance in shunt circuit can change the equivalent nonlinear mass and the "jump" frequency of the NVI. Large value of inductance deteriorates the vibration isolation performance and the optimal inductance is slightly smaller than zero. Furthermore, N-EMSD can realize nonlinear damping to achieve wide band vibration isolation of the NVI. The optimal negative resistance is discussed.
机译：本文研究了非线性电磁分流阻尼（N-EMSD）对振动隔离性能增强的非线性质量和阻尼效应，基于永磁体（PMS）的非线性隔振器（NVI）。两个线圈和两个PM的电磁结构组成用于实现等效的非线性阻尼和质量。分析和建模非线性机械电磁耦合系数。电路的电压频率是与线性电磁分流阻尼（L-EMSD）完全不同的位移频率的两倍。通过谐波平衡方法（HBM）理论地导出具有N-EMSD的NVI的幅度频率响应功能，并且通过雅各族矩阵判断稳定性。然后推导出N-EMSD的等效非线性阻尼和非线性质量。数值预测与实验结果一致，这表明在分流电路中使用电感可以改变NVI的等效非线性质量和“跳跃”频率。电感的大值会降低振动隔离性能，最佳电感略小于零。此外，N-EMSD可以实现非线性阻尼，以实现NVI的宽带振动隔离。讨论了最佳的负电阻。

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