基于消除附加阻尼的变齿距铣刀齿间角优化方法及试验研究

Optimization method and experimental study on tooth spacing angle of variable pitch milling cutter based on eliminating additional damping

  • 摘要: 铣削过程中的颤振现象严重影响了加工效率和加工质量,变齿距刀具通过不规则的齿间角分布,破坏导致再生型颤振的固定时滞与周期性激励,从而削弱自激反馈、分散振动能量,提高铣削稳定性。为提高变齿距铣刀的抑振性能,文章提出了一种以消除铣削系统附加阻尼为目的的变齿距铣刀齿间角优化方法,建立了变齿距铣刀铣削动力学模型并引入了相应的稳定性分析算法。数值模拟与铣削试验结果表明,优化后变齿距铣刀具有更高的铣削稳定性,5 950 r/min工况下,变齿距铣刀的稳定极限切削深度由等齿距铣刀的1.405 mm 提高至 2.425 mm,提升72.6%,在等齿距铣刀发生颤振而变齿距铣刀保持稳定的临界过渡工况下,变齿距铣刀的振动均方根值(root mean square,RMS)降低66.7%~78.4%,验证了所提方法的有效性。

     

    Abstract: Chatter in milling processes seriously affects machining efficiency and machining quality. Variable-pitch cutters improve milling stability through irregular distribution of tooth spacing angles, which disrupt the fixed time delay and periodic excitation that cause regenerative chatter, thereby weakening self-excited feedback and dispersing vibration energy. To enhance the chatter suppression performance of variable-pitch milling cutters, an optimization method for the tooth spacing angles of variable-pitch milling cutters is proposed, with the elimination of additional damping in the milling system as the optimization objective. A milling dynamic model for variable-pitch cutters is established, and the corresponding stability analysis algorithm is introduced. Numerical simulation and milling test results show that the optimized variable-pitch cutter exhibits higher milling stability. At 5 950 r/min, the stability limit cutting depth of the variable-pitch cutter is increased from 1.405 mm (for the equal-pitch cutter) to 2.425 mm, representing an improvement of 72.6%. Under the critical transition conditions where the equal-pitch cutter experiences chatter while the variable-pitch cutter maintains stable cutting, the root mean square (RMS) value of vibration of the variable-pitch cutter is reduced by 66.7%-78.4%. The above results verify the effectiveness of the proposed method.

     

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