Validation model for coordinate measuring methods based on the concept of statistical consistency control

Gromczak, Kamila; Gąska, Adam; Ostrowska, Ksenia; Sładek, Jerzy; Harmatys, Wiktor; Gąska, Piotr; Gruza, Maciej; Kowalski, M.

doi:10.1016/j.precisioneng.2016.03.021

Cited by 15 publications

(11 citation statements)

References 18 publications

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“…A mapping of the realistic shapes of the input signals can be obtained when test signals with constraints are used [7,16]; however, this approach requires the use of special computational procedures, including tools such as algorithms to solve the system of convolutional equations (after their optimal number has been determined) [17], procedures based on the genetic method [17,18], and procedures using the fixed-point algorithm (FPA) [9,19]. However, the influence of the uncertainty [20,21] associated with the sensor modelling on the value of the dynamic error is not considered in these procedures.…”

Section: Introductionmentioning

confidence: 99%

Procedure Proposal for Minimising the Dynamic Error of Second-Order Sensors

Tomczyk

Kowalczyk

Ostrowska

2022

Sensors

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This paper proposes the procedure for minimising the dynamic error in the time and frequency domains, based on the example of a second-order sensor. Our procedure includes three main steps: modelling of the sensors using the Monte Carlo (MC) method; determination of the maximum value of the dynamic error using the integral-square criterion (ISC); and optimisation of the parameters of the sensor model by minimising the ISC. The uncertainties associated with the modelling procedure and the MC method are also considered. The mathematical formulae necessary for implementation in a given programming language (MathCad, MATLAB, C, etc.) are presented in detail. The proposed procedure was implemented in the frequency domain, using MathCad 15, and applied to the example of the Althen 731-207 accelerometer. Validation of the proposed procedure was carried out using a digital signal processor of type TMS320C6713. The proposed procedure can increase the accuracy of the signal processing obtained at the output of sensors applied to a wide range of measurements.

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Section: Introductionmentioning

confidence: 99%

Procedure Proposal for Minimising the Dynamic Error of Second-Order Sensors

Tomczyk

Kowalczyk

Ostrowska

2022

Sensors

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“…In the case of presented experiments, the statistical test is based on the concept of consistency control. The model of consistency control, according to [21][22][23], refers to classical statistics, such as a weighted mean of both methods (denoted here as the reference value (RV)) and the chi-squared test. This model can be applied on condition that one of the methods used in the comparison may be regarded as a reference method (hence the use of the calibrated workpiece method as part of the presented experiments).…”

Section: Introductionmentioning

confidence: 99%

“…A simplified mathematical procedure of the validation model is presented below (for more details, please refer to [21]):…”

Section: Introductionmentioning

confidence: 99%

Simulation model for uncertainty estimation of measurements performed on five-axis measuring systems

Gąska

Sładek

et al. 2019

Int J Adv Manuf Technol

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Five-axis measuring systems (i.e. coordinate measuring machines equipped with articulated probe heads capable of continuous indexation or five-axis machine tools with inspection probe mounted on a tilt and swivel head) are becoming more and more popular, especially in industrial applications, since their usage speeds up the measurement process without significant loss in accuracy. Widespread adoption of these systems necessitates development of viable and easy-to-use measurement uncertainty estimation methods. This paper describes the experiments required for identification of errors of five-axis measuring systems based on usage of LasrTracer system and measurements of ring standard. It also expounds the methodology for implementation of virtual CMM-based simulation model for these systems giving the explanation on all input quantities used in the model along with detailed mathematical explanations on uncertainty propagation procedure. Eventually, it presents the validation methodology and the results of validation measurements performed in order to prove the correct functioning of developed model. Basing on these results, the main conclusion drawn in the paper is that presented virtual model should be regarded as working properly and producing metrologically correct values of measurement uncertainty for common metrological tasks known from GD&T framework.

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“…The so called "Virtual models" of different systems were successfully developed for different measuring systems [5,10]. During development of such models several challenges must be overcome, including: identification and modelling of main sources of errors during measurements [2] and proper model validation [6]. In the case of laser tracking systems the operator influence is one of the key factors affecting the overall accuracy of the measurement, but in fact there are almost no studies that undertook this subject.…”

Section: Introductionmentioning

confidence: 99%

Assessment of Influence of Sample Averaging on Accuracy of Point Coordinates Measurement Performed Using Laser Tracking Systems

Gruza¹,

Gąska²,

Gąska³

et al. 2019

Adv. Sci. Technol. Res. J.

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Laser Tracking systems are commonly used in all branches of industry, which requires accurate large-scale measurements for instance aviation, space and shipbuilding industries. Laser Trackers belong to the group of non-Cartesian Coordinate Measuring Systems. Determination of the measured point coordinates involves the measurements of distance using laser beam and two angles recorded by horizontal and vertical encoders. Additionally, the environmental conditions are monitored and used for compensation of measured distance. The coordinates of single measured point are estimated using the results obtained from a series of samples taken in a short time period. The average value obtained from a sample is given as a result; additionally, the dispersion parameters are calculated which can be used to evaluate the probing process. This paper presents the research procedure which allows assessing the influence of chosen dispersion parameter related to the sample averaging on accuracy of the measurements performed with laser tracking devices. The procedure involves standard elements measurements during which the points with similar level of RMS parameter are used for the calculation of the measurement result. Such approach allows simulating the increasing dispersion of points taken into account during sample probing. The results presented in the article can be helpful to the operators of laser tracking systems to assess the influence of the probing process on the measurement accuracy.

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Validation model for coordinate measuring methods based on the concept of statistical consistency control

Cited by 15 publications

References 18 publications

Procedure Proposal for Minimising the Dynamic Error of Second-Order Sensors

Procedure Proposal for Minimising the Dynamic Error of Second-Order Sensors

Simulation model for uncertainty estimation of measurements performed on five-axis measuring systems

Assessment of Influence of Sample Averaging on Accuracy of Point Coordinates Measurement Performed Using Laser Tracking Systems

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