Abstract
This article points out the problems resulting from the calculation of flatness deviations against the adjacent surface defined according to SR EN 1101-2017 and proposes the use of a larger number of measurement points for improved accuracy, along with the identification of a reference plane surface with the help of matrix calculations. All deviations should be re-calculated by comparison to this reference plane. In order to reduce the large number of errors resulting from many rounding applied, this paper proposes the method of deviation measurement at symmetrical coordinates, while the calculation of the reference plane surface would be made with the help of an original method, whereby the number of operations is reduced to a minimum in order to increase accuracy.
Highlights
There are many types of component parts for which flatness deviations are very important, in view of the appropriate operation of the subassembly they belong to
According to SR EN ISO 1101-2017, the flatness deviation is defined as the maximum distance between the real surface and the adjacent plane surface, measured within the limits of the reference surface or of the entire surface
The adjacent plane surface is defined as being tangent to the real surface, and placed so that the maximum distance between the real and plane surfaces is kept to a minimum
Summary
There are many types of component parts for which flatness deviations are very important, in view of the appropriate operation of the subassembly they belong to. According to SR EN ISO 1101-2017, the flatness deviation is defined as the maximum distance between the real surface and the adjacent plane surface, measured within the limits of the reference surface or of the entire surface. The adjacent plane surface is defined as being tangent to the real surface, and placed so that the maximum distance between the real and plane surfaces is kept to a minimum. This definition may become a source of confusion, due to the fact that determining the adjacent plane surface is difficult, debatable or even impossible, depending on the chosen measurement method (Capitanu, Florescu & Badita, 2016). Apart from these two, we propose a new method, with a significantly higher degree of accuracy: Method of the plane surface defined by the smallest squares theory/ LEAST-SQUARES METHOD
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