ACCURACY OF HARMONIC ANALYSIS OF CIRCULAR PROFILES

摘要

The paper deals with the Fourier spectrum of nominally round profiles measured by the radius method. It is shown that amplitudes and phases of individual harmonics found by this method depend on the distance between the geometric centre of the investigated cross-section of the specimen under measurement and the centre of rotation as well as of the position of the sensor. On the grounds of a theoretical analysis, mathematical relations that describe the phenomenon of modulation of profile's harmonics has been worked out. The paper describes conditions under which the eccentricity of a nominally round profile in relation to the centre of rotation causes complete attenuation of individual harmonics. Numerical simulations and experiments performed by means of computerised roundness measuring systems entirely confirmed theoretical analysis.