Calculating associated circle parameters for interrupted roundness profiles

Dariusz Janecki, Stanislaw Adamczak, Krzysztof Stepien

Abstract

Rotary elements constitute a large and important group of machine parts. They are common in various industries, for instance, automotive, steel and paper industries. This is the reason why the problem of accurate measurement of roundness deviation is one of the most important fields of the industrial application of surface metrology. According to the requirements of new Geometrical Product Specifications standards, correct determination of the roundness parameters requires the calculation of the location of the centre and the radius of the associated circle. Usually these values are calculated on the basis of the linearized model describing the value of the measured profile as a function of an angle. The paper presents an iterative algorithm allowing for the calculation of associated circle parameters by the least squares method. It also describes the results of the computer simulation for the non-linear model. The presented algorithm can also be applied in measurements of interrupted roundness profiles when the eccentricity is large in relation to the workpiece diameter.

Keywords

Roundness; associated circle; interrupted profile

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IMEKO-TC14-2007-26.pdf

DOI

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IMEKO TC

TC14 - Measurement of Geometrical Quantities

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