Virtual CMM-based model for uncertainty estimation of coordinate measurements performed in industrial conditions

Gąska, Adam; Harmatys, Wiktor; Gąska, Piotr; Gruza, Maciej; Gromczak, Kamila; Ostrowska, Ksenia

doi:10.1016/j.measurement.2016.12.027

Cited by 26 publications

(11 citation statements)

References 14 publications

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“…As a consequence the digital twin is only valid in a temperature controlled environment with a small temperature gradient or drift as a result of internal heating. A. Gąska et al presented a virtual CMM for the uncertainty estimation of coordinate measurements performed in industrial conditions [ 16 ]. A conventional CMM has three axes of movement and each movement involves six components of deviation: three linear and three angular.…”

Section: Determination Of the Measurement Errormentioning

confidence: 99%

“…Based on a Monte Carlo method, multiple virtual measurements are performed in order to determine the measurement uncertainty. Digital twins of coordinate measuring machines (CMMs) have been extensively researched in the past [ 6 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 ]; however, research into digital twins of optical systems is still lacking due to the high number of error contributors [ 17 ]. This paper presents a method to obtain and simulate a digital twin of a laser line scanner (LLS) mounted on a CMM.…”

Section: Introductionmentioning

confidence: 99%

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Digital Twin of an Optical Measurement System

Vlaeyen

Haitjema

Dewulf

2021

Sensors

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Digital twins of measurement systems are used to estimate their measurement uncertainty. In the past, virtual coordinate measuring machines have been extensively researched. Research on digital twins of optical systems is still lacking due to the high number of error contributors. A method to describe a digital twin of an optical measurement system is presented in this article. The discussed optical system is a laser line scanner mounted on a coordinate measuring machine. Each component of the measurement system is mathematically described. The coordinate measuring machine focuses on the hardware errors and the laser line scanner determines the measurement error based on the scan depth, in‑plane angle and out‑of‑plane angle. The digital twin assumes stable measurement conditions and uniform surface characteristics. Based on the Monte Carlo principle, virtual measurements can be used to determine the measurement uncertainty. This is demonstrated by validating the digital twin on a set of calibrated ring gauges. Two validation tests are performed: the first verifies the virtual uncertainty estimation by comparison with experimental data. The second validates the measured diameter of different ring gauges by comparing the estimated confidence interval with the calibrated diameter.

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Section: Determination Of the Measurement Errormentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Digital Twin of an Optical Measurement System

Vlaeyen

Haitjema

Dewulf

2021

Sensors

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“…Then the vector describing systematic part of residual error can be obtained by calculating the mean deviation between nominal and actual coordinates of examined points while the random part of residual errors may be modelled using standard deviations of point reproduction. To estimate errors in positions not included in experiments, different interpolation methods can be used such us nearest neighbor method or interpolation using b-spline curves [8]. Methodology described above will be used to determine the true position of origin of a probe head's base coordinate system.…”

Section: Description Of Five-axis Coordinate Measuring System Kinematicsmentioning

confidence: 99%

Challenges for Modeling of Five-Axis Coordinate Measuring Systems

Gąska

Gruza

2017

Applied Sciences

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Modeling of various measuring systems used in coordinate metrology is a very relevant and current topic. Functional models of measuring systems are used in simulative methods as so called 'virtual models' and are used mainly for determination of measurement uncertainty and prediction of errors that may occur during the measurement. Virtual models have already been developed for coordinate measuring machines and articulated arm coordinate measuring machines and are currently under development for other, state-of-the-art measuring systems. They include Laser Tracking systems, optical coordinate measuring machines (CMMs) and five-axis measuring systems. The first step towards development of virtual model for the latter system was presented in a previous study by the authors. The simplified model for simulation and correction of probe head errors and its verification was proposed. This paper describes the challenges that must be faced before the final implementation of a fully functional virtual model of five-axis coordinate measuring systems.

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“…Such a structure was adapted using various solutions that have been developed over the years by different research centres. One of the significant conceptions was developed in the Laboratory of Coordinate Metrology (LCM), it assumes that the accuracy of point coordinate measurement can be described by means of residual error distribution [5,6], i.e. errors that remain after the application of systematic error compensation methods.…”

Section: Introductionmentioning

confidence: 99%

“…Residual errors are determined in certain points covering the measuring volume of the machine, which is comprised of a reference grid of points. The errors can be experimentally determined by, for example, measurements of standard elements (hole plate, ball standards) [4] or using other devices like laser tracking systems [5,6]. However, because residual errors also accommodate random errors, the results obtained during experiments should not be treated as exact error values but rather as information about the probability with which the reference points can be reproduced by the machine.…”

Section: Introductionmentioning

confidence: 99%

The modelling of the measuring point reproduction error for optical coordinate measuring machines

et al. 2020

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Coordinate measuring machines (CMMs) are the most common measuring systems used for assessing the compliance of manufactured components with their geometrical specifications. Optical CMMs are currently gaining popularity as they enable fast and contactless measurement with accuracy almost as high as in case of tactile measurement. During the performing of measurement, the points at which the measurement is conducted are usually not exactly at the intended location, but due to different impacts (error sources), they are in the area surrounding this location. This paper presents a method for modelling the reproduction of point coordinates as probability ellipses geometrically limiting the area in which the actual measurement points may lie. Different mathematical algorithms for the description of these ellipses were examined and a discussion on the selection of the best method is presented in this paper.

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Virtual CMM-based model for uncertainty estimation of coordinate measurements performed in industrial conditions

Cited by 26 publications

References 14 publications

Digital Twin of an Optical Measurement System

Digital Twin of an Optical Measurement System

Challenges for Modeling of Five-Axis Coordinate Measuring Systems

The modelling of the measuring point reproduction error for optical coordinate measuring machines

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