基于动态信号加权特征的数控机床最小步长辨识建模与定量评估

Identification modeling and quantitative evaluation of minimum step size for CNC machine tools based on dynamic signal weighted features

  • 摘要: 针对数控机床最小步长测试中有效数据识别困难及评估指标主观性强等难题,研究了数控机床最小步长动态特性的辨识建模与定量评估方法。文章基于测试数据时序特征与权重分配,构建了一种有效数据辨识模型。该模型结合特征工程与网格搜索算法进行全局寻优,实现了有效数据的高效、精准提取。在此基础上,从曲线一致性、定位误差和换向误差三个维度进行了最小步长系统评估。其中,曲线一致性评估引入均方根误差比率(root mean square error ratio, RMSE-ratio),通过量化测试曲线与理想曲线的拟合优度,判定数控机床执行最小程序指令的能力;定位误差评估通过提取最大单步误差与最大累计误差,以表征执行部件的实际位移精准度;换向误差评估通过计算步长上升曲线与下降曲线所围成的迟滞环面积,量化分析系统的换向与迟滞性能。该评估体系能够直观、准确地量化机床的微小步长响应特性,为不同运动部件的性能对比提供客观、可量化的依据。

     

    Abstract: Identification modeling and quantitative assessment of minimum step size dynamic characteristics in CNC machine tools were inveatigated to resolve difficulties in valid data identification and the lack of objective evaluation metrics. Initially, an effective data identification model was developed by leveraging the time-series characteristics and weight distribution of the test data, and global optimization was achieved through the integration of feature engineering and a grid search algorithm, thereby enabling the efficient and precise extraction of valid data. Building upon this foundation, a comprehensive evaluation framework was established across three dimensions, namely curve consistency, positioning error, and reversal error. Curve consistency was quantified by the root mean square error ratio (RMSE-ratio), which was employed to assess the goodness of fit between the measured trajectory and the ideal step response, thus evaluating the machine tool's capability to execute the smallest programmed command. The positioning error was characterized by the maximum single-step error and the maximum cumulative error, both of which were extracted to represent the displacement accuracy of the actuator. Reversal error was quantified by computing the area enclosed by the hysteresis loop formed from the ascending and descending step-length response curves, thereby capturing the system’s reversal behavior and hysteresis performance. Collectively, the dynamic response characteristics of the machine tool under minimal step movements were intuitively and accurately quantified, and an objective, reproducible basis was provided for the comparative evaluation of performance across various motion components.

     

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