Design and Analysis of Internal Compound Cycloid Gear Transmission with High Contact Ratio

doi:10.3901/JME.2017.01.055

Abstract

Abstract: Contact ratio is an important indicator of measuring gear transmission performance, and a high contact ratio has great significance to improve the bearing capacity and transmission stability of gears. In view of the excellent characteristics of cycloid tooth profile, a new internal compound cycloid gear pair with high contact ratio is proposed. According to equivalent relationship between center encircled and non-encircled formation of internal and external cycloid, the matching relation between addendum and root of tooth profile of internal and external gears is clarified. The position and mathematical description of arc path of contact are given to maximize the contact ratio. In combination with coordinate transformation and gear meshing theory, mathematical equation of conjugate tooth profile is established. Meanwhile, the unification calculation formula of transverse contact ratio suitable for any tooth profile of gear is deduced by the known meshing arc, with which the maximum contact ratio of the above-mentioned internal cycloid gear pair is calculated. The influencing factors and the possible improving ways of contact ratio are analyzed and pointed out. Accordingly, parametric modeling of internal cycloid gear pair with high contact ratio is realized by Solidworks, and finite element simulation analysis and photoelastic test about the number of simultaneous meshing teeth is carried out, with a concrete instance contract to standard involute internal gear pair. Fact shows that the designing internal cycloid gear pair exactly has a high contact ratio, which can reach a dozen, even greater, and the results of simulation and test are consistent with that of theoretical analysis, which verifies the correctness of the gear transmission theory.

Key words: arc path of contact, high contact ratio, internal gear transmission, compound cycloid gear

GUI Xincheng, ZHAN Junqing, YE Peng, LI Hongxun. Design and Analysis of Internal Compound Cycloid Gear Transmission with High Contact Ratio[J]. Journal of Mechanical Engineering, 2017, 53(1): 55-64.

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