Own fluctuations in the drives of technological equipment based on a three-mass model of fluctuating torsional chain system are analyzed. Differential equations of motion of a mechanical system with three degrees of freedom are obtained. An analysis of the forms of fluctuating processes in the system is conducted. Conditions of orthogonality of own torsional fluctuation forms are considered, dependencies of own frequencies on system rigidity coefficients are determined.

Abstract. The article examines the main sources of technological deviations and local manufacturing defects in parts of mechanical systems. These flaws significantly affect the vibration characteristics of the system during its operation. The authors proposed a mathematical description of technological errors for further modeling and investigation of their influence on the vibration activity of a mechanical system. This allows one to evaluate the parameters of vibration processes along the symmetry axes of the rotating assembly of the mechanical system and to reveal the main places of concentration of disturbing effects in the form of dynamic reactions on the support elements and bearings IntroductionTechnological errors in the manufacture of machine parts are one of the main reasons for the occurrence of vibration effects in the nodes of mechanical systems.The technological process of manufacturing parts with high quality indicators -precision and strength -is extremely complex and difficult. To ensure sufficient quality of machine parts functioning, it is necessary to know the relative influence of individual structural elements on each other, thus, for example the influence of their mechanical properties, material properties and surface hardening methods on the accuracy of manufacturing parts. It is also necessary to have reliable methods for calculating and predicting the accuracy indexes of product quality.

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The paper analyses possible solutions for mathematical modeling in studies of dynamic processes in dynamically self-locking mechanical systems. The research performed is based on the dynamic system with two degrees of freedom conditioned on the system’s inertial and elastic properties. The orthogonal worm gear with equal helix angles is taken as an example. The paper studies two modes of operation: forward movement and reverse movement. The resulting mathematical model allows determining parameters conditioning self-locking properties of mechanical gears.