The Automated Synthesis of Gearing Based on a Cylindrical Involute Basic Link in Generalizing Coordinates

Gear trains formed on the basis of a cylindrical involute basic link are widely used in various machines, machine units and their drives. This article presents generalized schemes of such gears with external and internal gearing. To fully reveal the geometric-kinematic possibilities of gearing, the method of its geometric synthesis in generalizing coordinates is used. This method also makes it possible to simplify the process of gearings synthesis and provides a direct connection with the estimation of the loading parameters due to the use of the gearing angle as an independent variable of its functions. The generalized area of existence of gearing for a given gear scheme is determined first, followed by the local area of existence of gearing inside it, corresponding to a definite complex of its qualitative indicators. Using this method, an algorithm of synthesis of gearing for the considered gears is proposed. The method can be implemented effectively only in the system of automated synthesis of gearing, which makes it possible to use the principle of “dynamic” domains of existence when analyzing gearing. The most suitable structure for this system is the modular structure. The article describes the program modules of the developed system and two possible algorithms for the synthesis of gearing. An example of a computer panel with the results of the synthesis of gearing on the basis of a cylindrical involute basic link with internal teeth is given. Instructions are given on how to obtain the most favorable set of geometric-kinematic indicators of gearing.

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