This paper reports on mechanical design, optimization, and experimental testing of a novel piezo-actuated elliptical vibration-assisted cutting (EVC) system constructed by flexure hinges. The stroke and natural frequency were analyzed based on the theoretical modeling. An enhanced central composite design was chosen as the design of experiments methodology to reduce the modeling error, and a nondominated sorted genetic algorithm-II (NSGA-II) was adopted for structure optimization. The optimized EVC generator was manufactured and experimentally tested to investigate practical properties of the proposed EVC system. It shows that the stroke of input end can reach to 30 μ m with a motion resolution of 10 nm, and the first natural frequency can reach to 2600 Hz without considering the manufacturing error. Besides, a relatively small cross-axis coupling ratio (within 0.21%) can be effectively obtained. The developed EVC system is advantageous not only to being equipped with machine tools with various configurations, but also to easily achieving arbitrary vibrations in three-dimensional space through two actuators, which is especially important for the generation of complex structured surfaces. With this paper, it is of great significance to promote industrial application of EVC techniques.

中文翻译：

---

新型挠曲结构椭圆振动辅助切割系统的设计与计算优化

本文报告了由挠性铰链构成的新型压电驱动椭圆振动辅助切割 (EVC) 系统的机械设计、优化和实验测试。在理论模型的基础上对冲程和固有频率进行了分析。实验设计方法采用增强中心复合设计，减少建模误差，结构优化采用非支配排序遗传算法-II（NSGA-II）。制造优化的 EVC 发电机并进行实验测试，以研究所提出的 EVC 系统的实际特性。结果表明，在不考虑制造误差的情况下，输入端行程可达30 μ m，运动分辨率可达10 nm，第一固有频率可达2600 Hz。除了，可以有效地获得相对较小的横轴耦合比（0.21%以内）。所开发的EVC系统不仅有利于配备各种配置的机床，而且可以通过两个致动器轻松实现三维空间中的任意振动，这对于复杂结构表面的生成尤为重要。该论文对推动EVC技术的产业化应用具有重要意义。