Mechanical resonance analysis and suppression method of multi-inertia servo system considering time-varying meshing stiffness

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Journal of Vibration and Shock ›› 2021, Vol. 40 ›› Issue (19) : 164-171.

LI Wenli1, LU Yu1, GUO Dong1, LIU Yongkang1, SHI Xiaohui1, YAN Haiyan2

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Abstract

Here, to study vibration mechanism of multi-inertia servo system more deeply, considering effects of gear time-varying meshing stiffness on the system’s mechanical resonance in gear transmission process, a 4-inertia servo system model was established based on the traditional dual-inertia servo system model to analyze the mechanism of the system’s mechanical resonance. The time-varying waveform was used to approximately indicate meshing stiffness of gear pair. Mechanical resonance performances of the servo system model with and without gear time-varying meshing stiffness were compared. The model prediction control method was used to control and suppress mechanical resonance of the 4-inertia servo system with gear time-varying meshing stiffness. The model prediction controller based on state space expression was designed. Through simulation tests, the model prediction control method was compared with the conventional PID control method for verification. The results showed that the model prediction control method can be used to effectively suppress mechanical resonance of multi-inertia servo system.

Key words

multi-inertia servo system / mechanical resonance analysis / time-varying meshing stiffness / model prediction control / mechanical resonance suppression

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LI Wenli, LU Yu, GUO Dong, LIU Yongkang, SHI Xiaohui, YAN Haiyan. Mechanical resonance analysis and suppression method of multi-inertia servo system considering time-varying meshing stiffness[J]. Journal of Vibration and Shock, 2021, 40(19): 164-171

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