In this paper, the problem of determining the state of complex contact joints of precision rotary systems is investigated on an example of symmetrical structures with combined ball-bearing supports. The conformity of the axial rigidity of the ball bearings to the nominal value is diagnosed. The dynamical model of the node is considered and the functions of influence are defined. The materials of the article today are relevant, because in any prefabricated design, system parameters in the process of assembly may differ from the calculated values and change in the process of operation. In order to predict the consequences of this, you need to know the reaction of the system to these changes. High-speed rotary systems, which are used in large quantities in engineering (for example, gyroscopes), in real conditions operate under the influence of mechanical vibrations, which greatly reduces the accuracy of the system. The nature of the vibrations of the rotor of the electric motor, which is caused by the vibration of the body, is characterized by rigid and damping characteristics of the system, constant and alternating components of the moment of the forces of resistance of rotor rotation in the supports, axial and radial oscillations of the centre of gravity and a number of other characteristics. An analytical study of the dynamics of such systems is a very difficult task, but the definition of sensitivity functions for this kind of compounds experimentally is still a much more complicated technological problem, so their characteristics should be obtained by different methods of identification. At the same time, in many cases it is virtually impossible to evaluate experimentally the influence of parameters on the behaviour of the system. Therefore, it is necessary to study and analyse the influence of changes in parameters on the properties of the system analytically, that is, according to the well-known mathematical model of the system. The main purpose of this work is to determine the conformity of the axial rigidity of the ball bearings to their nominal value. The dynamical model of the node is considered and the functions of influence of system parameters on qualitative indicators are determined. This allows us to conclude that the results obtained with respect to the parameters of the test node do not exceed the limits of permissible zones. That is, the node is suitable for subsequent assembly operations. Thus, controlling the ascending technical condition of products, it is possible to prevent sudden failures in the most important elements of rotary systems, that is all contributes to improving the quality and reliability of the operation of devices. The problem of determining the state of complex contact joints of precision rotary systems on the example of symmetrical structures with combined ball bearings is investigated. The conformity of the axial rigidity of the ball bearings to the nominal value is diagnostically verified. The dynamical model of the node is considered and the functions of influence are defined.