Design And Modeling Of Noncircular Gear With Curvature Radius Function

The movement law of the noncircular gear drive is determined by the shape of the noncircular gear pitch curve. Therefore, the design of the pitch curve of the noncircular gear is very important. On the other hand, if the noncircular gear pitch curves are concave or cusp, the tooth profile of noncircular gear cannot be generated. In order to obtain more movement laws of noncircular gear and ensure the convexity of noncircular gear pitch curves, this paper designed a new noncircular gear with curvature radius function. In the tangent polar coordinate, the relationship between diameter and curvature of curve was established. The mathematical model of noncircular gear pair was deduced. The arc lengths of the noncircular gear pairs were calculated and the concavity of the driven noncircular gear was judged. A noncircular gear auxiliary design program wrote by using the MATLAB language. The tooth profile design of noncircular gear was introduced. The given examples showed that the mathematical calculation of the noncircular gear is reasonable, and this new noncircular gear can be well applied to the actual machinery.