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

Dorp, Bwjja Bas van; Haitjema, Han; Delbressine, Flm Frank; Bergmans, RH Rob; Schellekens, Phj Piet

doi:10.1117/12.445616

Cited by 24 publications

(9 citation statements)

References 3 publications

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“…The Monte Carlo simulations have been used as uncertainty evaluation for CMM's in Refs. [37][38][39][40]. This method was documented in an ISO document [41].…”

Section: Monte Carlo Simulationmentioning

confidence: 99%

Modelling and Analysis of the Geometrical Errors of a Parallel Manipulator Micro-CMM

Rugbani

Schreve

2012

Precision Assembly Technologies and Systems

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Part 3: Tolerance Management and Error Compensation MethodsInternational audienceA micro coordinate measurement machine (micro-CMM) with high precision and high accuracy is introduced for the measurement of part dimensions in micro scale. This design is intended to achieve submicron resolution for a work envelop of at least (100x100x100) mm. In this study, a mathematical measuring model to explicitly define the coordinate of the probe in x, y and z directions have been represented. An algorithm to find the workspace was implemented. The error model of the machine was created and the effect of structural errors on probe position was studied analytically. The significance of each geometric parameter was studied in order to minimize the measuring error and achieve the best machine design. Finally, the results of the analytical error model were confirmed through a Monte Carlo analysis

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“…The Monte Carlo simulations have been used as uncertainty evaluation for CMM's in Refs. [37][38][39][40]. This method was documented in an ISO document [41].…”

Section: Monte Carlo Simulationmentioning

confidence: 99%

Modelling and Analysis of the Geometrical Errors of a Parallel Manipulator Micro-CMM

Rugbani

Schreve

2012

Precision Assembly Technologies and Systems

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“…The virtual coordinate measuring machine (VCMM) approach estimates an uncertainty statement for a particular measurement task on a particular CMM according to Monte Carlo simulation results. "Basically the virtual CMM performs a point-by-point simulation of measurements, emulating the measurement strategy and the physical behavior of the CMM with the dominating uncertainty contributions disturbing the measurement" [70,90,91]. The simulated measurement should have all the facets of the real measurement that can significantly contribute to the measurement uncertainty.…”

Section: The Virtual Cmmmentioning

confidence: 99%

Task Specific Uncertainty in Coordinate Measurement

2001

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“…To simulate geometric deviations, an approach based on results proposed by Van Dorp et al [44] has been implemented. The developed model is based on the frequency content of the error signal, and may be applied to a "Zeiss Prismo" CMM.…”

Section: Simulation Based Proceduresmentioning

confidence: 99%

Optimal inspection strategy planning for geometric tolerance verification

Moroni

Petrò

2014

Precision Engineering

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Two features characterize a good inspection system: it is accurate, and compared to the manufacturing cost, it is not expensive. Unfortunately, few measuring systems posses both these characteristics, i.e. low uncertainty comes with a cost. But also high uncertainty comes with a cost, because measuring systems with high uncertainty tend to generate more inspection errors, which come with a cost.In the case of geometric inspection, the geometric deviation is evaluated from a cloud of points sampled on a part. Therefore, not only the measuring device has to be selected, but also the sampling strategy has to be planned, i.e. the sampling point cloud size and where points should be located on the feature to inspect have to be decided. When the measuring device is already available, as it often happens in geometric measurement, where most instruments are flexible, an unwise strategy planning can be the largest uncertainty contributor.In this work, a model for the evaluation of the overall inspection cost is proposed. The optimization of the model can lead to an optimal inspection strategy in economic sense. However, the model itself is based on uncertainty evaluation, in order to assess the impact of measurement error on inspection cost. Therefore, two methodologies for evaluating the uncertainty will be proposed. These methodologies will be focused on the evaluation of the contribution of * Correspondig Author. Tel +39 02 23998530. Fax +39 02 23998585.Email addresses: giovanni.moroni@polimi.it (Giovanni Moroni), stefano.petro@polimi.it (Stefano Petrò) Preprint submitted to Elsevier January 9, 2015 the sampling strategy to the uncertainty. Finally, few case studies dealing with the inspection planning for a Coordinate Measuring Machine will be proposed.

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

Cited by 24 publications

References 3 publications

Modelling and Analysis of the Geometrical Errors of a Parallel Manipulator Micro-CMM

Modelling and Analysis of the Geometrical Errors of a Parallel Manipulator Micro-CMM

Task Specific Uncertainty in Coordinate Measurement

Optimal inspection strategy planning for geometric tolerance verification

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