During the machining of freeform surfaces, the tool path will directly affect the machining accuracy of the surface, the execution of each axis of the machine tool, and the machining efficiency. Therefore, tool path planning is a very critical link in all types of diamond turning processes. In this paper, a new tool path generation strategy is proposed for machining freeform surfaces by quasi-intermittent vibration assisted swing cutting (QVASC) method. Due to the unique tool swing motion law of QVASC, the effective central angle of tool nose arc participating in the cutting is a parameter that is ignored by traditional cutting and is considered. This makes the generation of tool trajectories, tool geometry selection and freeform surfaces very different from traditional diamond cutting. According to the principle of QVASC, the tool parameters are analysed, and the tool position is designed in the cylindrical coordinate system. Interpolation was then performed by the Hermite spline interpolation theorem. The application of this strategy is discussed, and the sinusoidal surface, sinusoidal mesh surface and toric surface are taken as examples to simulate. The simulation succeeded in obtaining the tool path corresponding to the three curved surfaces processed by the QVASC method. The results prove that the tool trajectory generation strategy proposed in this paper is feasible. The proposed tool path generation strategy can provide a new reference for future freeform surfaces processing.

中文翻译：

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一种准间歇振动辅助摆动切削刀具路径生成方法

在自由曲面加工过程中，刀具路径将直接影响曲面的加工精度、机床各轴的执行情况以及加工效率。因此，刀具路径规划是各类金刚石车削工艺中非常关键的环节。在本文中，提出了一种新的刀具路径生成策略，用于通过准间歇振动辅助摆动切削 (QVASC) 方法加工自由曲面。由于QVASC独特的刀具摆动运动规律，参与切削的刀尖圆弧的有效圆心角是传统切削忽略而被考虑的参数。这使得刀具轨迹的生成、刀具几何形状选择和自由曲面与传统的金刚石切割大不相同。根据 QVASC 的原理，分析刀具参数，并在圆柱坐标系中设计刀具位置。然后通过 Hermite 样条插值定理进行插值。讨论了该策略的应用，并以正弦曲面、正弦网格曲面和复曲面为例进行了仿真。仿真成功获得了QVASC方法加工的三个曲面对应的刀具路径。结果证明本文提出的刀具轨迹生成策略是可行的。所提出的刀具路径生成策略可为未来的自由曲面加工提供新的参考。讨论了该策略的应用，并以正弦曲面、正弦网格曲面和复曲面为例进行了仿真。仿真成功获得了QVASC方法加工的三个曲面对应的刀具路径。结果证明本文提出的刀具轨迹生成策略是可行的。所提出的刀具路径生成策略可为未来的自由曲面加工提供新的参考。讨论了该策略的应用，并以正弦曲面、正弦网格曲面和复曲面为例进行了仿真。仿真成功获得了QVASC方法加工的三个曲面对应的刀具路径。结果证明本文提出的刀具轨迹生成策略是可行的。所提出的刀具路径生成策略可为未来的自由曲面加工提供新的参考。