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Influence of Index Table Accuracy on Roundness Calibration Using Monte Carlo Simulation
| Content Provider | Semantic Scholar |
|---|---|
| Author | Sato, Hiroshi P. |
| Copyright Year | 2011 |
| Abstract | The precise and accurate roundness measurement is required year by year. The multi-step method is commonly used in the high-accuracy measurement for the roundness. The multi-step method is the selfcalibration of the roundness capable of performing highly-advanced precise measurement. It depends on the reason that is able to separate measurement wave from the spindle rotation component and the form component of hemispherical master. But the mathematical models of the roundness measurement using that method are very complicated, describing numerous parameters and processes. So, recently, the Monte Carlo technique has attracted increasing attention as a very useful method for uncertainty estimation. This paper describes influences of the indexing angle accuracy and the noises generated by the roundness measuring machine, on the roundness measurements, both of which were analyzed by the Monte Carlo simulation. Furthermore, an example of hemispherical master is compared with the actual measurement data between when a reference guide plate is used utilizing the magnetic rotary encoder. © Metrology Society of India, All rights reserved 2011. 1. Indroduction It has been more than 15 years since Guide to the Expression of Uncertainty in Measurement (GUM) was published by seven organizations including ISO, one of the international standardization bodies [1]. In the field of roundness calibration, modeling of the roundness measurement is mainly used to estimate the uncertainty in accordance with GUM. In this modeling method, "combined standard uncertainty" of the dimension of standard deviation is estimated by using the first-order Taylor series approximation and additivity of variance. When the mathematical model becomes complex, however, a simulation technique can be used to estimate the uncertainty. Recently, the Monte Carlo technique has attracted increasing attention as a very useful method for uncertainty estimation [2-3]. Accordingly the International Bureau of Weights and Measures (BIPM) published the Supplement 1 to GUM which stipulates a method to estimate uncertainty by using the Monte Carlo simulation [4]. Almost all the measurement models for geometrical artifacts are very complicated, describing numerous parameters and processes. In the field of roundness measurement as well, the mathematical models are composed of extremely complicated processes and parameters, and use of the MAPAN Journal of Metrology Society of India, Vol. 26, No. 1, 2011; pp. 37-46 ORIGINAL ARTICLE |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://metrologyindia.org/26/4_Hiroshiya%20Sato.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
