Computer Aided Cylindrical Spur Gear Design

Spur gear is used in machines to transmit rotary motion. Due to its simple design, reliability and compactness, it is widely used in technical devices — clocks, conveyors, cars. Two wheels of such a transmission have a constant gear ratio and high efficiency. The first performance criterion is the contact stress fatigue strength of the teeth. The second one is the tooth bending fatigue strength. Manual calculation of a spur gear is a difficult task due to the large number of formulas and conditions. The design area is limited to a small number of options that are not always optimal. It was proposed to expand the design boundaries to hundreds or thousands of options using a computer. Combinations of parameters (modulus, wheel width, number of teeth, material, etc.) form a variety of spur gears with different characteristics: dimensions, strength, weight, etc. The statistical analysis found hidden dependencies between characteristics and initial parameters. On the basis of regression metamodels, the relative importance of parameters for individual characteristics was established. When searching for optimal gears, the Desirability function D was applied with meta-models as arguments. On the basis of the existing standards, a system for computer-aided design of transmissions and statistical analysis of their performance has been developed. As a result of the study, the area of efficient spur gears with optimal characteristics was determined.

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