滚刀主轴振动位移与加速度响应模型研究与验证

doi:10.3901/JME.2020.07.072

摘要/Abstract

摘要： 滚齿机振动难以避免，研究滚刀主轴的振动特性可为滚齿加工工艺参数优化和滚齿加工振动自补偿研究提供理论基础。为实现滚齿机振动控制、提高滚齿加工质量，基于欧拉梁理论建立滚刀主轴振动平衡方程，推导滚刀主轴各阶固有频率和各阶主振型计算公式。由模态分析法推导滚刀主轴坐标系下滚刀主轴沿任意方向的振动位移计算公式，并基于坐标变换原理建立工件坐标系X方向和Z方向的振动位移和加速度响应函数模型。针对横向不受力和加工两种振动状态开展测试实验，并对比加工状态下振动位移和加速度的仿真值与测试值，相对误差均小于5%，验证滚刀主轴固有频率和振动响应函数模型的正确性。综合分析振动测试数据与振动响应函数模型仿真数据，得出滚刀主轴振动量与振动方向、振动阶次的变化关系。最终基于振动响应函数模型提出了一种加工工艺参数优化的思路。

关键词: 滚刀主轴, 振动响应函数模型, 测试

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

中图分类号:

TG61

周涵, 鄢萍, 裴洁, 赵桢, 罗倩倩. 滚刀主轴振动位移与加速度响应模型研究与验证[J]. 机械工程学报, 2020, 56(7): 72-85.

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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