Practical Procedure for Position Tolerance Uncertainty Determination via Monte-Carlo Error Propagation

For measurement of existing thread parameters using profile scanning, system error increases as pitch diameter, difference between the calibrating thread and measuring thread increases with the single gauge calibration method. There are several alignment deviations affecting the measurement of pitch diameter. To reduce the system error, a compensation method using two standard thread gauges to calculate the alignment deviations is proposed here. Finally, the theoretical and experimental comparisons between the single gauge calibration method and the proposed method are presented. The results demonstrate that the two gauges calibration method can effectively reduce the system error.

Section: Uncertainty Analysismentioning

confidence: 99%

A New Compensation Method for Measurement of Thread Pitch Diameter by Profile Scanning

Chen

Zhao

Lü

2014

“…The uncertainty scatter is a graphical representation of the uncertainty of each measurement, and additionally allows the uncertainty of the measurement to be estimated by directly measuring the dispersion of these points. A graphical representation of the uncertainty is helpful for properly representing the uncertainty interactions of nonlinear fusion from multiple stations [24].…”

Section: Estimation Of Measuring Uncertainties Based On Monte Carlo Smentioning

confidence: 99%

Fusion Estimation of Point Sets from Multiple Stations of Spherical Coordinate Instruments Utilizing Uncertainty Estimation Based on Monte Carlo

Zhang¹,

Qu²

2012

Multiple instrument stations, based on spherical coordinate measurements, are often used in the measurement of large objects. A data fusion method is proposed to derive optimal estimations of the positions of the object features, measured by more than one device. First, each device has a dedicated coordinate system that is linked together through the measurement of common points. Second, the weighted mean coordinates are derived. The covariance matrix of the sensory, covering of the radial distance and the angles, is propagated to get a weight matrix. Third, a nonlinear function is minimized to determine the optimized coordinate of the points. Monte Carlo error propagation is utilized to estimate the uncertainty of the fusion points. Simulation of the fusion algorithms is performed using laser tracking and laser radar. The fusion algorithm experiments are performed using two laser tracking stations. Simulation and experiments prove that the fusion method improves the precision of the measurements of an object's location, due to incorporating the degree of uncertainty for each measurement point.

“…Considering the large variation of density values calculated on different pieces of pellets produced under the same experimental conditions, measurement uncertainty was included in the density prediction. Measurement uncertainties were dealt with in some previous issues of Measurement Science Review, lately in [8] or [9]. Especially the former work contains some basic principles used in our paper, too.…”

Section: Introductionmentioning

confidence: 99%

Determination of Optimal Technological Parameters of a Compaction Process: Case Study

Jarošová¹,

Kureková

2013

Pelletizing as a complicated compaction process is under continuous improvement. One of the problems -determination of optimal technological parameters to attain a sufficiently high density of pellets -is solved in this paper. The statistical model of density depending on four technological factors is built based on data obtained through a central composite design. Canonical analysis is used to find the stationary point, and as the received point is a saddle point, the optimal setting is determined by means of ridge analysis. Special attention is paid to the uncertainty associated with the indirect measurement of the pellet density. Substantial differences in the density exist between pellets created under the same conditions, and especially the type-A uncertainty must be taken into consideration