Assessment of Uncertainties in Dimensional Metrology by Monte Carlo Simulation: Proposal of a Modular and Visual Software

Schwenke, H.; Siebert, Bernd; Wäldele, F.; Kunzmann, H.

doi:10.1016/s0007-8506(07)62973-4

Cited by 92 publications

(62 citation statements)

References 2 publications

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“…Unfortunately, due to the complexity of the intersection line calculation, using the GUM methodology to determine the associated uncertainty is exceedingly complicated because sensitivity coefficients can not be derived analytically [16]. An alternative to this calculation is to use a Monte Carlo simulation to estimate the uncertainty.…”

Section: Methodsmentioning

confidence: 99%

“…Monte Carlo simulation has been used by Schwenke et al [16], Cox et al [17], Trapet et al [18], Balsamo et al [19] and others to assess measurement uncertainty. In addition, the 2008 GUM includes a supplemental guide that deals with the use of Monte Carlo simulation as a tool for evaluating measurement uncertainty through the propagation of distributions [20].…”

Section: Methodsmentioning

confidence: 99%

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Silicon Bulk Micromachined Hybrid Dimensional Artifact

et al. 2010

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A mesoscale dimensional artifact based on silicon bulk micromachining fabrication has been developed and manufactured with the intention of evaluating the artifact both on a high precision coordinate measuring machine (CMM) and video-probe based measuring systems. This hybrid artifact has features that can be located by both a touch probe and a video probe system with a k=2 uncertainty of 0.4 m, more than twice as good as a glass reference artifact. We also present evidence that this uncertainty could be lowered to as little as 50 nm (k=2).While video-probe based systems are commonly used to inspect mesoscale mechanical components, a video-probe system's certified accuracy is generally much worse than its repeatability. To solve this problem, an artifact has been developed which can be calibrated using a commercially available high-accuracy tactile system and then be used to calibrate typical production vision-based measurement systems. This allows for error mapping to a higher degree of accuracy than is possible with a glass reference artifact.Details of the designed features and manufacturing process of the hybrid dimensional artifact are given and a comparison of the designed features to the measured features of the manufactured artifact is presented and discussed. Measurement results from vision and touch probe systems are compared and evaluated to determine the capability of the manufactured artifact to serve as a calibration tool for video-probe systems. An uncertainty analysis for calibration of the artifact using a CMM is presented. 3 ACKNOWLEDGMENTS

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Section: Methodsmentioning

confidence: 99%

Section: Methodsmentioning

confidence: 99%

Silicon Bulk Micromachined Hybrid Dimensional Artifact

et al. 2010

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“…Admittedly, the values would be approaching the average value, which is one of the typical characteristics of the PDF [5,6,8,9,27].…”

Section: Simulating Multiple Measurements With Vcmamentioning

confidence: 99%

“…The model has proven capable of simulating measurements in an online mode, as well as calculating the uncertainty of measurement of a physical CMA (Fig. 1a) [4][5][6][7][8][9].…”

Section: Introductionmentioning

confidence: 99%

Determining the uncertainty of measurement with the use of a Virtual Coordinate Measuring Arm

Ostrowska

Gąska

Sładek

2013

Int J Adv Manuf Technol

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Coordinate Measuring Arms are redundant measuring devices that are widely used today. Therefore, this paper presents a solution of the problem of online estimation of accuracy of measurements done on coordinate measuring arms. This paper shows the metrological model called Virtual Coordinate Measuring Arm. It is composed of a kinematic model of arm, created using the Denavit-Hartenberg convention connected with PC-DMIS measuring software and usage of Monte Carlo method. Verification tests done according to VDI/VDE 2617-7 guideline show that the created model is working properly. Also the comparison of results of measurements done on real Coordinate Measuring Arm and simulated by the created model proves correctness of the model. The metrological model of Virtual Coordinate Measuring Arm can be a breakthrough in the use of the coordinate measuring arms in quality assurance systems in production.

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“…Such a model is called a virtual machine. In case of a coordinate measurement machine, it is called a virtual CMM [1]. This virtual CMM is used to numerically estimate the distribution of the poss ible results, which is a measure of the uncertainty.…”

Section: Uncertainty Calculationmentioning

confidence: 99%

Virtual CMM using Monte Carlo methods based on frequency content of the error signal

et al. 2001

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In coordinate measurement metrology, assessment of the measurement uncertainty of a particular measurement is not a straight forward task. A feasible way for calculation of the measurement uncertainty seems to be the use of a Monte Carlo method. In recent years, a number of Monte Carlo methods have been developed for this purpose, we have developed a Monte Carlo method that can be used on CMM's that takes into account, among other factors, the auto correlation of the error signal. We have separated the errors in linearity errors, rotational errors, straightness errors and squareness errors. Special measurement tools have been developed and applied to measure the required parameters. The short-wave as well as the long-wave behavior of the errors of a specific machine have been calibrated. A machine model that takes these effects into account is presented here. The relevant errors of a Zeiss Prismo were measured, and these data were used to calculate the measurement uncertainty of a measurement of a ring gauge. These calculations were compared to real measurements.

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Assessment of Uncertainties in Dimensional Metrology by Monte Carlo Simulation: Proposal of a Modular and Visual Software

Cited by 92 publications

References 2 publications

Silicon Bulk Micromachined Hybrid Dimensional Artifact

Silicon Bulk Micromachined Hybrid Dimensional Artifact

Determining the uncertainty of measurement with the use of a Virtual Coordinate Measuring Arm

Virtual CMM using Monte Carlo methods based on frequency content of the error signal

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