In most practical cases, rotor systems are complicated mechanical objects. In solving a number of problems, such as investigated of dynamics and determining the technical state of elements of a rotor system, it is necessary to measure the spectral characteristics of vibration of some connection joints. As a rule, this is not always possible to do directly and leads to the need for a structural analysis of vibration processes. This analysis includes some questions such as partitioning complicated mechanical system on elementary systems, estimating relationships of coordinates and determination of unobservable parameters by observable. The graph method of connections is one of the most promising techniques of structural analysis. This method determines typical models of the dynamic processes of rotor systems with regard to characteristics of individual elements.
Most electromechanical devices contain planetary gears. Vibration is the result of the interaction of the teeth and is largely determined by the accuracy of the manufacture of their profile and the error of the step at the production stage, as well as the defects arising in the course of operation. The main elements influencing the vibration of the gears of the planetary gearbox are the deviation of the tooth profiles from the involute and the error in cutting the gear teeth. To reduce the dynamic loads in the contact areas and improve the reliability of gearing, these errors should be monitored and normalized in the allowable range. Based on the analysis of the elastic forces arising in the contact of the teeth, we obtain expressions for the contact stiffnesses and the forces forcing the vibration of the gears. Elastic forces are determined by identifying the deformations that occur at the contact of the gear and wheel teeth. The article describes an analytical description of the spectral composition of the forces that compel vibration, depending on the profile errors and the pitch of the gears of the planetary gear.
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