Harmonic analysis is a mathematical method that performs the determination (approximation) of continuous functions by the sum of ideal sinusoids. By selecting these sinusoids in a judicious way, in defining the methods of smart measurement of a part, it is possible to separate the geometrical elements of a part into geometric elements of the shape (circularity, eccentricity, etc.) of the geometric elements corresponding to the state surfaces. This article, using the research carried out under the doctoral thesis “COMPLEX STUDIES, RESEARCH AND EXPERIMENTATION OF PRECISION MECHANICAL GEARING TRANSMISSIONS USING HIGH PRECISION HARMONICS METHODS ”, aims to perform an original work and thus to present and analyze the main methods of processing the data gathered in the process measurement of the parts made and used in mechatronic equipment by resorting to harmonic analysis.

There are several constructive variants of devices built for complex control of engagement on both sides aimed at controlling both internal and external shocks, all of which featuring a standard wheel compound. By the method of forced tooth engagement fitted between the standard wheel and the measuring wheel and using the spectral analysis, constructive errors of the gear wheels can be quickly determined, especially those consisting in shocks and the variation of the distance between the axes, errors that severely impact on operation. At the National Institute of Research and Development in Mechatronics and Measurement Technique was developed a device used to control shock values and the distance between the axis of the gearboxes (for four of the gearbox speeds) by means of forced engagement and complex harmonic analysis.