Theoretical Analysis of Straightness Errors in Coordinate Measuring Machines (CMM) with Three Linear Axes
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International Journal of Precision Engineering and Manufacturing https://doi.org/10.1007/s12541-019-00264-0
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Theoretical Analysis of Straightness Errors in Coordinate Measuring Machines (CMM) with Three Linear Axes Patricio Franco1 · Jose Jodar2 Received: 27 October 2018 / Revised: 22 October 2019 / Accepted: 4 November 2019 © Korean Society for Precision Engineering 2020
Abstract Diverse studies were developed in last years about the precision of coordinate measuring machines (CMMs) in order to enhance the calibration method for these testing devices or their application for dimensional verification of manufactured parts, but new research works are needed to identify the effect of the different types of geometric errors that exists in CMMs and deduce the measuring conditions that allow the optimization of CMM performance. The aim of this work consist of analyzing the influence of some of these machine errors such as the straightness errors and position errors associated to the CMM axis displacement, with the purpose of deducing the specific contribution of these errors inside the global uncertainty of these testing devices. This study was focused on coordinate measuring machines with a configuration type FXYZ, and it was carried out using a simplified model that is restricted to the effect of the straightness errors and position errors, without considering the contribution of the rest of CMM geometric errors. The unexpected variations that can be originated in the machine errors between the successive calibration points were described by the numerical model, and their influence on the CMM measuring accuracy were also discussed. Keywords Axis displacement errors · Coordinate measure machines (CMMs) · Position errors · Statistical algorithms · Straightness errors · Theoretical modelling
1 Introduction The analysis and optimization of coordinate measuring machines (CMMs) presents a great importance for improving the expected accuracy during the dimensional and geometric verification of mechanical parts. For this reason, many studies about these topics were developed in last years. Among these works, there are several studies dedicated to improve the performance of coordinate measuring machines and describe new methods for a better characterization of errors associated to these equipment, as well as to provide devices that could help to evaluate the CMM performance * Patricio Franco [email protected] 1
Escuela Tecnica Superior de Ingenieria Industrial, Department of Materials and Manufacturing Engineering, Universidad Politecnica de Cartagena, C/ Doctor Fleming s/n, 30202 Cartagena, Spain
Escuela Tecnica Superior de Ingenieria Industrial, Department of Applied Physics, Universidad Politecnica de Cartagena, C/ Doctor Fleming s/n, 30202 Cartagena, Spain
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and numerical models for predicting the expected measuring accuracy. Huang and Ni proposed a mathematical model that can be applied to describe the main geometric errors associated to the coordinate measuring machines (CMM) [1]. This m
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