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The models for the comparison of roundness profiles

Tichá S., Adamczak S.

Journal of Automation Mobile Robotics and Intelligent Systems

2012

Vol. 6, No. 3

27-29

Roundness is one of the mostly frequently observed geometrical deviations. A profile of a machine part consisting of simple harmonic courses or their sums depends on a number of factors. Modeling of geometrical deviations requires applying the Fourier to extend each periodical function into an infinite series of harmonic components. Using of harmonic analysis we are able to determine the values of amplitudes of single components and their phase shifts. These parameters can be used for example for comparison of roundness profiles by means of correlation coefficients. The obtained correlation coefficients are concrete parameters, on the basis of which it is possible to determine the degree of conformity and unity between the compared profiles. The comparison of evaluated roundness profiles can be represented as mathematical statistical models. In these models is detected sequence of single steps, which are necessary for determination of required correlation coefficients [1, 2] .