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Measurement uncertainty of generalized stiffness of machine tools
Measurement ( IF 5.6 ) Pub Date : 2020-11-26 , DOI: 10.1016/j.measurement.2020.108692
Paweł Majda , Joanna Jastrzębska

This paper deals with the formulation of a new method of measuring machine tool stiffness. The method enables measurements to be made in generalized coordinates, i.e. measurements of translational and torsional stiffness. It is based on geometrical transformations of a rigid body. It is universal, because it allows any positioning of displacement sensors on the surface of the tested object and to freely transform the excitation force. This allows testing the stiffness of various medium-sized machine tools - lathes, milling machines, etc. The validation of the measurement method (uncertainty budget) and validation of estimated measurement uncertainty are presented. The components of reproducibility and method-specific uncertainties have been shown to contribute significantly more to the budget than the components of metrological characteristics of the sensors used in the measurements. It was also shown which components of complex uncertainty can be omitted from the analysis without losing the accuracy of its estimation. The advantages of the proposed method have been demonstrated on the example of stiffness measurements on a milling machine.



中文翻译:

机床广义刚度的测量不确定度

本文探讨了一种测量机床刚度的新方法。该方法使得能够在广义坐标中进行测量,即,平移和扭转刚度的测量。它基于刚体的几何变换。它是通用的,因为它允许位移传感器在被测物体的表面上进行任何定位,并自由地转换激励力。这样可以测试各种中型机床(车床,铣床等)的刚度。介绍了测量方法(不确定性预算)的验证和估计的测量不确定度的验证。与在测量中使用的传感器的计量学特征相比,重现性和方法特定的不确定性构成的预算已显着增加。还显示了复杂不确定性的哪些成分可以从分析中省略,而不会丢失其估计的准确性。所提出的方法的优点已经在铣床上的刚度测量示例中得到了证明。

更新日期:2020-11-27
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