Research on Milling Stability Prediction Based on Numerical Integration Method

ZHANG Qiyang; LIU Ganhua

doi:10.16080/j.issn1671-833x.2024.11.118

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Research on Milling Stability Prediction Based on Numerical Integration Method

更新时间：2025-10-30

- Research on Milling Stability Prediction Based on Numerical Integration Method
- Aeronautical Manufacturing Technology Vol. 67, Issue 11, Pages: 118-125(2024)
- 作者机构：
  
  江西理工大学,赣州,341000
- 作者简介：
- 基金信息：
- DOI：10.16080/j.issn1671-833x.2024.11.118
  CLC：
- Published：2024
- 稿件说明：
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章启阳，刘赣华. 基于数值积分方法的铣削稳定性预测研究[J]. 航空制造技术, 2024, 67(11): 118-125.

ZHANG Qiyang, LIU Ganhua. Research on Milling Stability Prediction Based on Numerical Integration Method[J]. Aeronautical Manufacturing Technology, 2024, 67(11): 118-125.
章启阳，刘赣华. 基于数值积分方法的铣削稳定性预测研究[J]. 航空制造技术, 2024, 67(11): 118-125. DOI： 10.16080/j.issn1671-833x.2024.11.118.

ZHANG Qiyang, LIU Ganhua. Research on Milling Stability Prediction Based on Numerical Integration Method[J]. Aeronautical Manufacturing Technology, 2024, 67(11): 118-125. DOI： 10.16080/j.issn1671-833x.2024.11.118.

摘要

针对立式加工中心铣削颤振现象，用数值积分方法预测铣削加工过程中的稳定性。首先用时滞微分方程表示受颤振影响的单、双自由度铣削动力学模型，对时滞周期进行离散；然后用数值积分方法求解时滞微分方程，依据Floquet判定铣削加工稳定性，获得稳定性叶瓣图；最后为验证数值积分方法求解的正确性，进行参数识别试验获取铣削力系数和模态参数，从求解得到的叶瓣图中选取加工参数进行试验验证。数值仿真结果表明，数值积分方法的计算效率和计算精度优于1st-SDM方法和1st-FDM方法。试验结果表明，数值积分方法的求解结果与试验结果相符，可以指导铣削工艺参数的选取，确保铣削加工稳定。

Abstract

In this paper

the stability of milling in vertical machining center is predicted by numerical integration method. Firstly

the single-degree-of-freedom and two-degree-of-freedom milling dynamic models affected by chatter are represented by time-delay differential equation

and the delay period is discretized; Secondly

the time-delay differential equation is solved by numerical integral method

the milling stability is determined according to Floquet

and the stability lobe diagram is obtained. Finally

in order to verify the correctness of the numerical integration method

the milling force coefficient and modal parameters are obtained by parameter identification experiments

the machining parameters are selected from the obtained lobe diagram for experimental verification. The numerical simulation results show that the numerical integration method is superior to the 1st-SDM method and the 1st-FDM method in terms of computational efficiency and accuracy. The numerical integration method solution results are consistent with the experimental results

which can guide the selection of milling process parameters and ensure the stability of milling processing.

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