An equidistant offset algorithm of rotation curve to solve conjugate gear profile
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TH132.41

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    Abstract:

    In order to solve the problem of singular point in the traditional algorithm for solving conjugate gear profile, an equidistant offset algorithm of rotation curve was proposed. The equidistant offset characteristics of conjugate curves were analyzed and the equations of equidistant offset line of rotation curve were derived. By way of arc approximation, equidistant offset line family of rotation curve was used to solve conjugate curves of any gear profile, and the involute profile curve with a cuspidal point of addendum was taken as an example. The principle error of this algorithm was analyzed, and a method to solve precise conjugate points was proposed. Compared with the traditional method of solving conjugate gear profile, the equidistant offset algorithm of rotation curve has no singular point problem, and there is no need to solve the meshing equation. It has obvious advantages in solving conjugate gear profile with singular points and small change rate of curvature radius.

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李国龙,任唯贤,谢天明,何坤.求解共轭齿形的轮转曲线等距偏移法[J].重庆大学学报,2019,42(5):10~18

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  • Received:March 11,2019
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  • Online: May 24,2019
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