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• W78083054 abstract "Confidence in the ability of a production machine to meet manufacturingtolerances requires a full understanding of the accuracy of the machine.However, the definition of “the accuracy of the machine” is open tointerpretation. Historically, this has been in terms of linear positioning accuracyof an axis with no regard for the other errors of the machine. Industry awarenessof the three-dimensional positioning accuracy of a machine over its workingenvelope has slowly developed to an extent that people are aware that“volumetric accuracy” gives a better estimation of machine performance.However, at present there is no common standard for volumetric errors ofmachine tools, although several researchers have developed models to predictthe effect of the combined errors.The error model for machines with three Cartesian axes has been welladdressed, for example by the use of homogenous transformation matrices.Intuitively, the number of error sources increases with the number of axespresent on the machine. The effect of the individual axis geometric errors canbecome increasingly significant as the chain of dependent axes is extended.Measurement of the “volumetric error” or its constituents is often restrictedto a subset of the errors of the Cartesian axes by solely relying on a laserinterferometer for measurement. This leads to a volumetric accuracy figure thatneglects the misalignment errors of rotary axes. In more advanced models theaccuracy of the rotary axes are considered as a separate geometric problemwhose volumetric accuracy is then added to the volumetric accuracy of theCartesian axes.This paper considers the geometric errors of some typical machineconfigurations with both Cartesian and non-Cartesian axes and uses case studiesto emphasise the importance of measurement of all the error constituents.Furthermore, it shows the misrepresentation when modelling a five-axismachine as a three-plus-two error problem. A method by which the five-axismodel can be analysed to better represent the machine performance isintroduced.Consideration is also given for thermal and non-rigid influences on themachine volumetric accuracy analysis, both in terms of the uncertainty of themodel and the uncertainty during the measurement. The magnitude of theseerrors can be unexpectedly high and needs to be carefully considered whenevertesting volumetric accuracy, with additional tests being recommended." @default.
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• W78083054 date "2009-06-01" @default.
• W78083054 modified "2023-09-25" @default.
• W78083054 title "Comparison of Volumetric Analysis Methods for Machine Tools with Rotary Axes" @default.
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