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首页> 外文期刊>Chinese journal of aeronautics >Convergence Analysis of the Numerical Solution for Cathode Design of Aero-engine Blades in Electrochemical Machining
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Convergence Analysis of the Numerical Solution for Cathode Design of Aero-engine Blades in Electrochemical Machining

机译：航空发动机叶片电解加工阴极设计数值解的收敛性分析

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摘要

As a main difficult problem encountered in electrochemical machining (ECM), the cathode design is tackled, at present, with various numerical analysis methods such as finite difference, finite element and boundary element methods. Among them, the finite element method presents more flexibility to deal with the irregularly shaped workpieces. However, it is very difficult to ensure the convergence of finite element numerical approach. This paper proposes an accurate model and a finite element numerical approach of cathode design based on the potential distribution in inter-electrode gap. In order to ensure the convergence of finite element numerical approach and increase the accuracy in cathode design, the cathode shape should be iterated to eliminate the design errors in computational process. Several experiments are conducted to verify the machining accuracy of the designed cathode. The experimental results have proven perfect convergence and good computing accuracy of the proposed finite element numerical approach by the high surface quality and dimensional accuracy of the machined blades.
机译：作为电化学加工（ECM）中遇到的主要难题，目前，阴极设计采用各种数值分析方法来解决，例如有限差分，有限元和边界元方法。其中，有限元方法为处理不规则形状的工件提供了更大的灵活性。但是，很难保证有限元数值方法的收敛性。根据电极间间隙中的电位分布，提出了一种精确的阴极设计模型和有限元数值方法。为了确保有限元数值方法的收敛性并提高阴极设计的精度，应对阴极形状进行迭代以消除计算过程中的设计误差。进行了几次实验，以验证所设计阴极的加工精度。实验结果通过机加工叶片的高表面质量和尺寸精度证明了所提出的有限元数值方法的完美收敛性和良好的计算精度。

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