Abstract
Transmission error (TE) and backlash are important parameters used to evaluate the transmission accuracy of cycloid-pin drives. Existing calculation methods are mostly based on two-dimensional tooth profile models, and these methods ignore the influence of some abnormal meshing phenomena caused by profile modifications (PMs), manufacturing errors (MEs), and assembly errors (AEs), such as the instantaneous mesh-apart of tooth pairs and the eccentric load on the tooth surface. To fill this gap, a novel approach to accurately calculating the TE and backlash of a cycloid-pin gear pair based on the error tooth surfaces is proposed, and its feasibility and effectiveness are validated by comparison with the theoretical analyses and the results from the literature. Based on this, the effects of the PMs, MEs, and AEs on the transmission accuracy are studied, which will be helpful in optimizing the tooth profile design of a cycloid gear and the tolerance allocation during the installation of a gear pair. The proposed method is also expected to provide accurate error excitation data for the dynamic analysis of cycloid-pin drives.
Highlights
Cycloid-pin drives have the advantages of high transmission ratios, transmission accuracy, torsional stiffness, transmission efficiency, and compact structures
This section describes the influence of the profile modifications (PMs) on the Transmission error (TE) and backlash and the optimal modification method that is obtained to ensure the high transmission accuracy of a cycloid-pin gear pair
2tμhme, renspeecgtivaetlyi.vThee ciusmoumlatievetpriitcch daenvidationn oefgthae tpiinvseuseodfinfstheiststiusdyaisdshoowpnted b ionSnFtehigecuttroeioo9th.nAsudr5dfai.tc1ieo,nisaarllanyn,didtoimstlayhssdeuismtrPeidbMuttheadtpitnhaeitrps artoomlfielreaendcteeveizarotsnioen.oTofof eetanhcshuerdeitschcyreeltcuebleroliecimadteionntgear a −0.017 mm. requirements and the compensation for manufacturing errors (MEs), the compound modification of the negative isometric and negative offset is adopted based on the results described in Section 5.1, and the PM parameters of the cycloid gear are ∆Rrp = −0.004 mm and ∆Rp = −0.017 mm
Summary
Cycloid-pin drives have the advantages of high transmission ratios, transmission accuracy, torsional stiffness, transmission efficiency, and compact structures. Establishing a calculation method for the TE and backlash, while comprehensively considering the effects of profile modifications (PMs), manufacturing errors (MEs), and assembly errors (AEs), is of great significance for optimizing the tooth profile design of a cycloid gear and the tolerance allocation during the installation of a gear pair. Li et al [21] proposed a new method to calculate the mesh stiffness of a cycloid-pin gear pair considering the effects of PMs and the eccentricity error based on the unloaded tooth contact analysis and the nonlinear Hertzian contact theory.
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