Abstract
The relative sliding between tooth surfaces is the main cause of tooth wear and power loss, which directly affects the transmission efficiency and durability of gear. The aim of this paper is to provide a method to design such spur gear with low sliding ratio (LSR). Based on kinematics, differential geometry and contact path, the general mathematical models of the generating rack, the pinion and the mating gear tooth profiles are established in turn. Then, according to the relationship between the contact path and sliding ratio, a contact path described by a cubic function is proposed to construct a spur gear drive with low sliding ratio. In order to ensure the continuity of action and non-interference, solid models of the mated gear pair are established, and the motion simulation is carried out by an example. Moreover, the effects of the contact path function coefficients on sliding ratio, tooth shape, and contact ratio are analyzed. Meshing efficiency and tooth wear of LSR gear drive are evaluated by comparing with those of the involute gear drive. The results show that, this LSR spur gear drive has higher transmission efficiency and better anti-wear performance.
Highlights
Spur gear drive, which is an important basic component in the mechanical field, has been widely applied in aerospace,[1] rail transit,[2] engineering machinery,[3] and precision instrument.[4]
Komori et al.[10] developed a geometric theory of the gears with logix tooth profiles, and when the contact point moves along the tooth height direction, a rolling contact is made at the logical point every few microns
Assuming that the friction coefficient of the tooth surface is a fixed value, meshing efficiency of the tooth profile can be defined as the ratio of the power required to overcome the resistance and the driving power.[22]
Summary
Spur gear drive, which is an important basic component in the mechanical field, has been widely applied in aerospace,[1] rail transit,[2] engineering machinery,[3] and precision instrument.[4]. The sliding ratio of the gear drive, which is often considered in the design of novel tooth profile, is mainly determined by the tooth profile.[9] There are many ways to design tooth profile with low sliding ratio. The proposed tooth profile has lower sliding ratio than that of involute gear. Using three kinematic parameters: polar angle, polar distance, and rotation displacement, Chang and Tsai[11] provided a parametric tooth profile of spur gears with lower relative curvature and sliding ratio. Kapelevich[12] investigated the design of an asymmetric tooth profile, which has low sliding ratio.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
