基于隐式Adams方法的螺旋曲面铣削系统稳定性预测研究

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振动与冲击 ›› 2022, Vol. 41 ›› Issue (16) : 158-166.

论文

杨赫然，耿超绪，孙兴伟，董祉序

作者信息 +

A study on the prediction of a spiral surface milling system stability based on the implicit Adams method

YANG Heran,GENG Chaoxu,SUN Xingwei,DONG Zhixu

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文章历史 +

摘要

针对螺杆转子铣削过程中的铣削系统稳定性进行研究。首先通过模态实验获取刀具的模态参数。其次，根据盘铣刀铣削螺杆转子曲面原理建立三自由度铣削力模型和以线性时滞微分方程表示再生型颤振影响的铣削加工动力学模型，并对刀齿铣削周期进行离散。然后，提出基于隐式Adams对螺旋曲面铣削系统稳定性进行预测的方法，在利用隐式Adams方法对动力学方程进行数值求解的基础上，依据Floquet理论判断系统的稳定性，获得螺旋曲面铣削系统的稳定性叶瓣图。最终，根据稳定性叶瓣图选取加工参数进行实验，验证隐式Adams方法在螺旋曲面铣削系统的适用性。实验结果表明：数值求解结果与实验结果吻合程度较高，即采用的隐式Adams方法适用于螺旋曲面铣削系统的稳定性预测。
关键词：螺杆转子；铣削加工；模态分析；Adams方法；Floquet理论

Abstract

The stability of the milling system during the milling process of the screw rotor is studied. First obtain the modal parameters of the tool through modal experiments. Secondly, a three-degree-of-freedom milling force model and a milling dynamics model expressing the effect of regenerative chatter vibration with linear time-lag differential equations are established based on the principle of milling screw rotor surfaces with disc milling cutters, and the cutter tooth milling cycle is discreted. Thirdly, a method based on implicit Adams is proposed to predict the stability of the spiral surface milling system. On the basis of solving the dynamic equation by implicit Adams, the stability of the system is judged according to Floquet theory, and the stability lobe diagram of the spiral surface milling system is obtained. Finally, the processing parameters are selected according to the stability lobe diagram to verify the applicability of the implicit Adams method in the helical surface milling system. The experimental results show that the numerical results are in good agreement with the experimental results, that is, the implicit Adams method is suitable for the stability prediction of spiral surface milling system.
Keywords：Screw rotor ;milling processing; modal analysis; Adams method; Floquet theory

导出引用

杨赫然，耿超绪，孙兴伟，董祉序. 基于隐式Adams方法的螺旋曲面铣削系统稳定性预测研究[J]. 振动与冲击, 2022, 41(16): 158-166

YANG Heran,GENG Chaoxu,SUN Xingwei,DONG Zhixu. A study on the prediction of a spiral surface milling system stability based on the implicit Adams method[J]. Journal of Vibration and Shock, 2022, 41(16): 158-166

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