Nonlinear stiffness behavior of non-contact multi-magnetic ring negative stiffness mechanism

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Journal of Vibration and Shock ›› 2021, Vol. 40 ›› Issue (15) : 41-47.

WANG Yao1, LI Zhanlong1,2, LIU Qi1, LIAN Jinyi1, WANG Jianmei1,2, QIN Yuan1

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Abstract

Due to low speed and heavy load of engineering vehicles, drivers and passengers are often exposed to vibrations with low frequency and large amplitude to cause low working efficiency and even serious vibration occupational diseases. The quasi-zero stiffness isolation system has characteristics of high static and low dynamic stiffness, it can effectively filter low-frequency vibration energy. A contact mechanism with negative stiffness can bring friction loss and other problems to cause the instability of mechanical morphology of negative stiffness mechanism. Now, a quasi-zero stiffness vibration isolation system is developed based on the parallel connection of non-contact negative stiffness (NCNS) mechanism and positive stiffness mechanism of pneumatic artificial muscle (PAM). Here, in order to find out the mechanism of stiffness behavior of the system, taking a multi-magnetic ring negative stiffness mechanism as the study object, the analytical model of its negative stiffness was established based on Biot-Savart’s law and Ampere’s law. The stiffness behavior characteristics of the mechanism under different parameters of magnetizing intensity, geometric parameters and magnetic field intensity were analyzed, and the verification tests were conducted. The results showed that axial magnetizing can obtain significant negative stiffness characteristics compared with radial magnetizing; increasing magnetic ring’s outer diameter, thickness and magnetic field intensity can improve the load-bearing capacity of the mechanism, but can’t change its negative stiffness range; increasing spacing between upper and lower magnetic rings can expand its negative stiffness range, but can’t change its load-bearing capacity; the correction determination coefficient between the calculation model and test results is 0.999 75, the calculation model meets accuracy requirements; the study results can provide a theoretical basis for further modeling, optimizing parameters and engineering application of quasi-zero stiffness vibration isolation systems.

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non-contact / negative stiffness / permanent magnet ring / nonlinear mechanics / parameter analysis

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WANG Yao, LI Zhanlong, LIU Qi, LIAN Jinyi, WANG Jianmei, QIN Yuan. Nonlinear stiffness behavior of non-contact multi-magnetic ring negative stiffness mechanism[J]. Journal of Vibration and Shock, 2021, 40(15): 41-47

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