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Fourier transform based dynamic error modeling method for ultra-precision machine tool

机译:基于傅立叶变换的超精密机床动态误差建模方法

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In some industrial fields, the workpiece surface need to meet not only the demand of surface roughness, but the strict requirement of multi-scale frequency domain errors. Ultra-precision machine tool is the most important carrier for the ultra-precision machining of the parts, whose errors is the key factor to influence the multi-scale frequency domain errors of the machined surface. The volumetric error modeling is the important bridge to link the relationship between the machine error and machined surface error. However, the available error modeling method from the previous research is hard to use to analyze the relationship between the dynamic errors of the machine motion components and multi-scale frequency domain errors of the machined surface, which plays the important reference role in the design and accuracy improvement of the ultra-precision machine tool. In this paper, a fourier transform based dynamic error modeling method is presented, which is also on the theoretical basis of rigid body kinematics and homogeneous transformation matrix. A case study is carried out, which shows the proposed method can successfully realize the identical and regular numerical description of the machine dynamic errors and the volumetric errors. The proposed method has strong potential for the prediction of the frequency domain errors on the machined surface, extracting of the information of multi-scale frequency domain errors, and analysis of the relationship between the machine motion components and frequency domain errors of the machined surface.
机译:在某些工业领域,工件表面不仅需要满足表面粗糙度的要求,而且还必须满足多尺度频域误差的严格要求。超精密机床是零件超精密加工的最重要载体,其误差是影响加工表面多尺度频域误差的关键因素。体积误差建模是链接机械误差和机械加工表面误差之间关系的重要桥梁。然而,以往研究中可用的误差建模方法很难用来分析机械运动分量的动态误差与加工表面的多尺度频域误差之间的关系,这在设计和制造中起着重要的参考作用。超精密机床的精度提高。本文提出了一种基于傅立叶变换的动态误差建模方法,该方法也是在刚体运动学和齐次变换矩阵的理论基础上提出的。实例分析表明,该方法可以成功实现对机器动态误差和体积误差的相同且规则的数值描述。所提出的方法在加工表面频域误差的预测,多尺度频域误差信息的提取以及机械运动分量与加工表面频域误差之间的关系分析方面具有很大的潜力。

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