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
Download:
IMEKO-TC14-2007-26.pdf
DOI:
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Event details
IMEKO TC:
TC14
Event name:
TC14 ISMQC 2007
Title:

9th Symposium on Measurement and Quality Control in Manufacturing

Place:
Chennai/Madras, INDIA
Time:
21 November 2007 - 24 November 2007