The Influence of Eccentricity of the Base Circle of Involute Gears on Its Transmission Ratio and Engagement Factor

At present, when designing mechanisms, one cannot but take into account the fact that errors in link size, deviations in shape and layout of kinematic pairs as well as other inaccuracies are typical in real mechanisms. This leads to deviations in the law of motion of the input link from the desired motion. It is necessary that these errors are calculated and eliminated at the design, manufacturing and assembly stages. Gear production is one of the most labour consuming types of metal processing. Gear processing constitutes a large part in the total volume of manufacturing operations due to the wide-spread application of transmissions in mechanical engineering and, therefore, the need to produce gears of various types, designs and sizes. Methods of the theory of tooth meshing are developed mostly for ideal, not real gear mechanisms which impedes the possibility of calculating accuracy parameters of transmission mechanisms and kinematic chains. Existing methods for calculating accuracy of gear trains are largely focused on determining limit deviations of errors. This work studies the influence of eccentricity of the base circle of gearwheels in an involute gear train on its transmission ratio and the theoretical engagement factor. The periodic variation of the transmission ratio and the engagement factor is shown; variable acceleration of the driven gearwheel is calculated.

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