Research and Verification of Vibration Displacement and Acceleration Response Model of Hob Spindle

doi:10.3901/JME.2020.07.072

Abstract

Abstract: The vibration of the gear hobbing machine cannot be eliminated. A theoretical basis for optimizing the technological parameters of gear hobbing and self-compensation of the vibration of gear hobbing can be provided by the study of the vibration characteristics of the hob spindle. Therefore, in order to realize the vibration control of hob and improve the quality of hob machining, the vibration balance equation of hob spindle is established based on euler beam theory, and the calculation formulas of natural frequency and main mode of hob spindle are derived. The formula for calculating the vibration displacement of the hob spindle along any direction in the hob spindle coordinate system is derived from the modal analysis method, and the vibration displacement and acceleration response function models in the X and Z directions of the workpiece coordinate system are established based on the coordinate transformation principle.The test experiment is carried out for the two vibration states of transverse non-stress and machining, and the relative error is less than 5% by comparing the simulation value and test value of vibration displacement and acceleration under machining state, verifing the correctness of the natural frequency and vibration response function model of hob spindle. Based on the comprehensive analysis of the vibration test data and the simulation data of vibration response function model, the relation between the vibration of the hob spindle and the vibration direction and order is obtained. Finally, based on the vibration response function model, a new idea of processing parameter optimization is proposed.

Key words: hob spindle, vibration response function model, test

CLC Number:

TG61

ZHOU Han, YAN Ping, PEI Jie, ZHAO Zhen, LUO Qianqian. Research and Verification of Vibration Displacement and Acceleration Response Model of Hob Spindle[J]. Journal of Mechanical Engineering, 2020, 56(7): 72-85.

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